Class 5 Imo 5 Years e Book 16

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1

ok INTERNATIONAL MATHEMATICS OLYMPIAD

CLASS

5

5

Years (2011-2015) Solved Papers

INSTANT

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CLASS 5

Contents ÂÂ 5th IMO 2011 ÂÂ 6th IMO 2012 - SET A ÂÂ 6th IMO 2012 - SET B ÂÂ 7th IMO 2013 - SET A ÂÂ 7th IMO 2013 - SET B ÂÂ 8th IMO 2014 - SET A ÂÂ 8th IMO 2014 - SET B ÂÂ 9th IMO 2015 - SET A ÂÂ 9th IMO 2015 - SET B

MTG WorkBooks / olympiad books CLASS 1

International English Olympiad

National Science Olympiad

International Mathematics Olympiad

Learning Science

Reasoning

Learning & Knowing

Learning Mathematics

Learning Computers

Anubhuti

CLASS 2



National Cyber Olympiad


Learning Computers

Learning Science


Learning & Knowing

Reasoning

Anubhuti






Learning Computers

Learning Science


Learning & Knowing

Reasoning

Anubhuti

CLASS 4 CLASS 3





Reasoning

Learning Computers

Learning Science


Learning & Knowing

Anubhuti






Reasoning

Learning Computers

Learning Science


Learning & Knowing

Anubhuti




Reasoning

Learning Computers


Learning & Knowing

CLASS 6







Learning & Knowing


Reasoning

Science IQ Challenge

Math IQ Challenge

Learning Computers

Master Mental Ability in 30 Days

CLASS 8 CLASS 3


Learning & Knowing




Reasoning

Learning Computers


Math IQ Challenge


The Secret of SUCCESS







Reasoning

Math IQ Challenge


Psychology of Success






Reasoning

Math IQ Challenge






CLASS 10



Math IQ Challenge







CLASS 12 CLASS 3


Math IQ Challenge







Error-free

Easy Language

Authentic Solutions

Fully Solved by Experts

For Classes 6, 7, 8, 9, 10, 11 & 12 Class 6

11

Class

12

Class 8

Class

Class 7

Class 9

Class 10

JEE (Main & Advanced) | AIPMT | BOARDS | OLYMPIAD | NTSE

FOUNDATION COURSE For Classes 7, 8, 9 & 10 Class 7

Class 8

Class 9

Class 10

Class 5 5th

Year 2011

2

5th IMO - 2011

Section I : Logical Reasoning 1. Ginni used pebbles to make a design

Row 1

in the sand. Based on this pattern, how

Row 2

many pebbles are there in row 6?

(A) 16 pebbles

Row 3

(B) 17 pebbles

Row 4

(C) 20 pebbles

(D) 21 pebbles

Row 5

2. The figure is made up of identical triangles. What fraction

of the figure is unshaded ? (A) 4/7 (C) 8/19

(B) 3/7 (D) 3/8

3. About how many more bricks does Molly need in her pile to make it equal to 50 kilograms?

(A) 7

(B) 8

(C) 45

(D) 46

4. This number machine used the same rule each time to find the output numbers shown here. If n is the input number, which rule could the machine have used to find each output number ?

(A) n ÷ 4

(B) n – 4

(C) n × 4

(D) n + 4

5. Which of the following sentence must be true if the adjoining scale is balanced ?

(A)

=

+

(B)

=

–

(C)

=

×

(D)

=

÷

6. Observe the given pattern.

If the pattern continues, which could be the next two figures?

(A)

(B)

(C)

(D)

3

5th IMO - 2011 7. The fact family shown below is missing a fact. 3 × 8 = 24; 8 × 3 = 24; 24 ÷ 8 = 3; ___ ?__ Which is the missing fact? (A) 24 ÷ 3 = 8 (B) 24 ÷ 4 = 6 (C) 24 + 3 = 27 (D) 24 – 4 = 20

8. Peter went to watch a movie at a cinema. The movie started at 11:45 a.m. and lasted 1 h 45 min. Choose the clock face that correctly shows the time at which the movie ended.

(A)

(B)

(C)

(D)

9. There are 10 children sitting in a row. Ali is the second child from the left while Devi is the second child from the right. How many children are sitting in between

Ali and Devi? (A) 4

(B) 6

(C) 7

(D) 8

10. Kirti had a square page of stamps. She used some of the stamps from the centre of the page. The picture shows the stamps Kirti has left. How much area of the

page of stamps did Kirti use? (A) 6 square units (B) 9 square units (C) 12 square units (D) 16 square units

11. In the adjoining figure how many different paths can be travelled from point A to point D by visiting a point only once?

(A) 2

(B) 3

(C) 4

(D) 5

12. Johny used the rule "double the number" to create the pattern given below.

3, 6, 12, 24, ____

Which pair of numbers is part of the pattern?

(A) 36, 72

(B) 48, 72

(C) 96, 144

13. The given table shows the possible food

choices for lunch. How many different

lunches can be made that include 1 type

(D) 96, 192

Lunch Choices Soup Sandwich Salad Chicken Ham Vegetable Tomato Turkey Fruit

of soup, 1 type of sandwich and 1 type of salad?

(A) 2

(B) 3

(C) 6

(D) 8

4

5th IMO - 2011

14. Look at the puzzle. Which piece completes the puzzle?

(A)

(B)

(C)

(D)

15. Letters of a word have been jumbled up. You have to construct the word. Each letter has been numbered and is followed by four options. Choose the option which gives

the correct order of the letters as indicated by the numbers to form a word. N I W E T R 1 2 3 4 5 6 (A) 4, 5, 1, 3, 2, 6 (B) 1, 4, 5, 6, 3, 2 (C) 3, 2, 1, 5, 4, 6 (D) 1, 2, 3, 4, 5, 6

16. Which of the figures below has the line of symmetry drawn correctly ?.

(A)

(B)

17. Find the odd one out. (A) 15 (B) 21

(C)

(C) 27

(D)

(D) 31

18. Rohit is incharge of feeding breakfast to the animals on his farm. He feeds them 4 oats every morning. If Rohit has 16 oats left after feeding them on Sunday, what is the last day he will most likely have oats for the animals? (A) Wednesday (B) Thursday (C) Friday (D) Saturday 19. Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person

could get? (A) The kind of cookies. (C) The number of cookies baked.

(B) The size of the cookies. (D) The time it took to bake the cookies.

20. Riya asked the students in her class if they have any pets. Her results are shown below.

• 4 students have cats. • 8 students have fish. • 5 students have parrots. • 12 students have dogs. • No student has a frog.

Based on the above information, which statement is most likely true? (A) Cats are better pets than Fish. (B) Fish are better pets than Dogs. (C) Frogs are the most popular pet. (D) Frogs are the least popular pet.

Section II : Mathematical reasoning 21. What is the numeric form of the number given below ? ‘‘One hundred four thousand, one hundred three’’ (A) 1,413 (B) 14,103 (C) 104,103 (D) 104,113

5

5th IMO - 2011 22. Which figure has only one base and one vertex?

(A)

(B)

(C)

(D)

23. Jay arranged 48 books in 4 equal piles to find the quotient of 48 ÷ 4. How can

Jay use this method to find the quotient of 189 ÷ 9? (A) Put 189 books in 4 equal piles. (B) Put 189 books in 9 equal piles. (C) Add 189 to 48 books. Put them in 4 piles. (D) Add 189 to 48 books. Put them in 9 piles.

24. Look at the calendar. What best describes the dates that are on Saturdays?

(A) Multiples of 2

(B) Multiples of 3

(C) Multiples of 4

(D) Multiples of 7

S 1 8 15 22 29

M 2 9 16 23 30

T 3 10 17 24 31

W 4 11 18 25

T 5 12 19 26

F 6 13 20 27

S 7 14 21 28

25. Sara used cutouts of two triangles to make the figures shown below.

Which of the following (A) Both figures have the (B) Both figures have the (C) Both figures have the (D) Both figures have the

statements is true about the figures? same area. same perimeter. same number of sides. same number of vertices.

26. Look at the diagram of Shreya's yard. Which expression can Shreya use to find the perimeter of her yard?

(A) (4 × 4) + (2 × 8)

(B) (4 × 8) + (2 × 8)

(C) (4 + 4) + (2 + 8)

(D) (4 × 8) + (2 × 4)

4m

27. Sandy solved the adjoining problem in her math class.

What is another way that (A) Sandy can determine 78 (B) Sandy can determine 70 (C) Sandy can determine 78 (D) Sandy can determine 70

8m

4m

Sandy could solve the problem? × 10, then add that to 78 × 5. × 10, then add that to 8 × 5. × 10, then add that to 5 × 10. × 10, then add that to 15 × 10.

8m

78 ×15 390 +780 1170

28. Look at the given figure. Which fraction represents the

shaded part of the figure? (A) 3/8 (C) 5/8

(B) 3/5 (D) 5/3

29. What is the solution to the given expression ? 3 × 10 + (9 × 2) = (A) 48 (B) 78 (C) 84

(D) 114

4m 4m

6

5th IMO - 2011

30. What is the area of the shaded figure?

(A) 20 square units

(B) 22 square units

(C) 26 square units

(D) 28 square units

31. Which list shows all the prime numbers between 0 and 22? (A) 1,3,5,7,11,13,19 (B) 2,3,5,7,11,13,17,19 (C) 2,4,6,8,10,12,14,16,18,20,21 (D) 1,2,4,6,8,9,10,12,14,15,16,18,20,21 32. Which figure appears to have exactly two perpendicular sides?

(A)

(B)

(C)

(D)

33. Multiply the smallest 3-digit number formed using the digits 4, 2 and 5 by 8. (A) 4336 (B) 3400 (C) 2032 (D) 1960 34. The widths of two skateboards are shown in the table. Which number sentence correctly compares the widths of these two skateboards?

1 (A) 8.125 < 8 8

(B) 8.125 = 8 1 8

(C) 8.125 > 8 1 8

(D) None of these

Skateboard Widths Skateboard Width in Inches X 8.125 Y 1 8 8

35. Which item is the heaviest?

(A)

1 kg 100 g

(B)

1090 g

(C)

(D)

1400 g

1390 g

36. Which of the following figures can be made by folding the adjoining

three-dimensional net along the dashed line segments?

(A)

37. Subtract : 2.38 − 1

(A) 0.48

(B)

9 = 100 (B) 1.29

(C)

(C) 3.47

38. Danish drew an angle as shown here. Sarah drew an angle that was twice the measure of Danish's angle. What was

the measure of Sarah's angle? (A) 20° (C) 80°

(B) 70° (D) 60°

(D)

(D) 0.29

7

5th IMO - 2011 39. What is the missing fraction? 3 4

(A) 3/8

(B) 5/8

=

3 8 (C) 6/8

(D) 7/8

40. Each adjoining model is shaded to represent a decimal number. Which number sentence correctly compares

these decimal numbers? (A) 0.49 < 0.6 (B) 0.49 = 0.6 (C) 0.49 > 0.6 (D) None of these

Section III : Everyday Mathematics 41. Garima measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Garima’s bean plant at the end of week 5?

(A) 5 inches

(B) 5 1 inches 2

(C) 6 inches

(D) 6

1 inches 2

42. Jay is 86 cm tall. His father is twice as tall as Jay. How tall is Jay’s mother if she

is 18 cm shorter than his father? (A) 1 m 54 cm (B) 1 m 66 cm

(C) 1 m 72 cm

(D) 1 m 90 cm

43. The information about Richa's favourite book is listed below: • There are 364 pages. • There are 14 chapters. • Each chapter has the same number of pages. How many pages are there in each chapter of this book? (A) 26 (B) 27 (C) 28 (D) 29 44. Farah and her friends are baking cookies for a school function. The recipe they are using states that they need 3/4 cups of sugar for every 3 dozen cookies they

make. If they make 7 dozen cookies, about how much sugar will they need? (A) Approximately 1 cup (B) Approximately 2 cups (C) Approximately 4 cups (D) Approximately 7 cups

45. Anuj made a chart showing how much time he spends on homework in one week. Based on the information in the chart, which statement is true? (A) Anuj has no homework on Monday. (B) Anuj spends the most time on homework on Friday. (C) Anuj spends the least amount of time on homework on Wednesday. (D) Anuj spends more time on homework on Tuesday than

Time Spent on Homework Day Minutes Monday 20 Tuesday 45 Wednesday 45 Thursday 30 Friday 30 on Thursday.

8

5th IMO - 2011

46. Nidhi is going to make bracelets to sell for a function. She bought 8 metres of yarn. She wants to cut it into pieces that are 16 centimetres long for each bracelet.

How many bracelets can Nidhi make? (A) 2 (B) 6

(C) 50

(D) 128

47. Ritesh helps his teacher to pass out books 4 times in a day. How many times does

Ritesh help his teacher in 5 days? (A) 5 (B) 9

(C) 20

(D) 25

48. John has 45 stickers. Mary has 20 more stickers than John. How many stickers

must Mary give to John so that both of them have an equal number of stickers? (B) 10 (C) 25 (D) 55 (A) 5

49. There are 18 pupils in a group. There are 10 boys and the rest are girls. 7 pupils are wearing glasses. If 3 girls are wearing glasses, how many boys are not wearing

glasses? (A) 3

(B) 6

(C) 8

(D) 9

50. There were 1582 chicken eggs and 475 duck eggs in a basket. 128 chicken eggs

and duck eggs were broken. How many eggs were not broken? (A) 981 (B) 1929 (C) 2021 (D) None of these SPACE FOR ROUGH WORK

Class 5 6th

Set A Year 2012

2

6th IMO - SET A Section I : Logical Reasoning

1. Complete the given number pattern.

(A) 35870

(B) 53870

(C) 53470

(D) 53570

2. The given diagram shows the original position of a wheel. Which of the following diagrams shows the correct position of the wheel after it has been turned 3

(A)

3.

Which of the following words CANNOT be formed from the given word?

(B)

1 turns to the left ? 8

MATHEMATICS (C) MENTAL

(D)

(A) TIME

4.

Which of the following fractions represents shaded part of the figure?

(A)

5.

Housing Board built 100 flats. A painter is engaged to serially number each flat individually from

1 to 100. How many times will he be required to write zero? (A) 10 (B) 8 (C) 9

6.

Study the table below. In which column will the number 55 appear ?

(A) W

4 12

(B) MAT

(C)

(B)

5 12

(B) X

(C)

7 12

(C) Y

(D) TAME

(D)

6 12

(D) 11

(D) Z

3

6th IMO - SET A 7.

How many connecting bars will there be in pattern 123 ?

(A) 615 8.

(B) 1235

(C) 245

(D) 1225

Preeti was facing the park at the beginning. She turned anti-clockwise to face north-west. What angle did she turn through ? (A) 180° (B) 135° (C) 225° (D) 230°

9. The missing number in the box is ______. (A) 687629

737629, 717629, (B) 607629

? , 677629, 657629 (C) 707629

(D) 697629

10. How many of the following letters have only 2 lines of symmetry?

(A) 0

(B) 1

(C) 2

(D) 3

11. In a queue of 40 students, Ankita is 20th from last. What is her rank from first ? (A) 21 (D) 22 (B) 20 (C) 19 12. Net _____ cannot be folded to make an open cubical box.

(A) P only

(B) Q only

(C) R only

(D) S only

13. What is missing number in the box ? 8147 = 8000 + 100 + (A) 4

(B) 40

+ 7

(C) 400

(D) 4000

14. Garima is facing the Community centre. What will she be facing if she turns 270° clockwise ?

(A) Mall

(B) School

(C) Temple

(D) Park

4

6th IMO - SET A

15. Which of the following figures will complete the given figure ?

(A)

(B)

16.

Count the number of triangles in the given figure. (A) 8 (B) 10 (C) 14 (D) None of these

(C)

(D)

17. Study the diagram. If a person starts walking from point P and wants to reach

point Q, in how many directions will that person have to walk? (A) 10 (B) 8 (C) 20 (D) 7

18. There is a certain relationship between figures 1 and 2. Identify the relationship and establish the similar relationship between figures 3 & 4 by selecting a figure from the options.

? 1

(A)

(B)

2

3

4

(C)

(D)

19. Read the following information carefully.

(i) P and Q play Football and Hockey.

(ii) R and S play Badminton and Cricket.

(iii) Q and R play Cricket and Football.

(iv) P and S play Hockey and Badminton.

One who plays Badminton, Football and Hockey is ______. (A) P (B) Q (C) R

(D) S

20. The given net represents which of the following shape ?

(A)

(B)

(C)

(D)

5

6th IMO - SET A Section II : Mathematical reasoning

21. The length of a rectangular painting is 15 cm and its breadth is 10 cm. There is a border around the painting. Find the area of the border.

(A) 336 sq. cm

(B) 150 sq. cm

22. Find the value of 624.7 + 39.29. (A) 101.76 (B) 663.99

(C) 114 sq. cm

(D) 186 sq. cm

(C) 66.399

(D) 660.79

23. Select the correct Roman numerals in Column I with Hindu-Arabic numerals in Column II. (A) (B) (C) (D)

Column I Column II CCXVIII 318 DCCLXIX 769 MMMCCXCIX 3399 VDCCXLVII 5748

24. The piece of wood shown is cut into 4 equal pieces. Length of each of the piece of wood is ____.

(A) 2.25 m

(B) 2.5 m

(C) 2.4 m

(D) 3.5 m

25. The difference between the value of P and Q is ________.

(A) 4

(B) 1

(C) 3

(D) 2

26. Which of the following figures has the largest perimeter?

(A) Q

(B) P

(C) R

(D) S

27. If x is 6th multiple of 3 and y is 4th multiple of 3, then the LCM of x and y is ______.

(A) 36

(B) 72

(C) 48

(D) 54

6

6th IMO - SET A

28. What is the value of 600 + 1200 ÷ 6 × 2 + 400 × 2 ? (A) 1400

(B) 1500

(C) 1800

(D) 2000

29. Which of the following step is wrong for the given below mathematical sentence? 37091 – 72 ÷ 3 × 687 + 5973 Step I : 37091 – 24 × 687 + 5973 (Divide) Step II : 37091 – 16388 + 5973 (Multiply) Step III : 43064 – 16488 (Add) Step IV : 26386 (A) Step I only

(B) Step III and IV

(C) Step II only

30. Which of the following figures do not have more than (A)

(B)

(D) Step II and IV

1 of its area shaded ? 3

(C)

(D)

31. Which number should come in place of * to make the number divisible by 3 ? (A) 5

(B) 0

1526 * 85 (C) 2

(D) 1

32. Find the value of P? (A) 3 (B) 7 (C) – 4 (D) 9 33. What is the greatest number of toys that can be bought with ` 100 ?

(A) 12

(B) 11

(C) 13

(D) None of these

(C) P

(D) S

34. Which shape has the largest area ?

(A) Q

(B) R

7

6th IMO - SET A 35. Find the greatest number which divides 36 and 84 leaving no remainder in each case. (A) 6 (B) 9 (C) 12 (D) 18 36. Which (A) 1, (B) 2, (C) 3, (D) 2,

list shows all the prime numbers between 1 to 50 ? 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 3, 5, 7, 11,13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 21, 17, 19, 23, 29, 37, 43, 47

37. If

+

+

(A) 15

+

= 60 and 2 (B) 25

= 30, then find the value of

+

.

(C) 12

(D) 20

(C) 100 crore

(D) 10 lakh

(C) 2.3749 > 2.4749

(D) None of these

38. Hundred million = _______. (A) 10 crore

(B) 1 crore

39. Which of the following expressions is true ? (A) 2.3749 > 2.0349

(B) 2.03749 < 2.003749

40. Which of the following is equal to (A)

2 ÷ 1 3

(B) 1÷

1 ? 3

4 6

(C)

1 ×4 12

(D)

2 2 ÷ 6 6

Section III : Everyday Mathematics 41. In a box there are 199653 red marbles, 87653 blue marbles and 76998 green marbles. Find the total number of marbles. (A) 364304

(B) 364403

42. Priya had 3200 mL of olive oil. She used How much oil was left ? (A) 1280 mL (B) 1920 mL

(C) 344304 2 1 of it in the first week and 5 8 (C) 1520 mL

43. Which of the following is the best estimate for 3095 × 84 ? (A) 3100 × 90 (B) 3100 × 80 (C) 3000 × 90

(D) 364344 of it in the second week. (D) 1680 mL (D) 3000 × 80

44. Three shirts and 7 pairs of pants have a total of 55 buttons. Each pair of pants has 5 fewer buttons than each shirt. How many buttons are there on each shirt ? (A) 4 (B) 9 (C) 25

(D) 30

45. Avni participated in a race. She took 1 hour 36 minutes and 14 seconds to complete the race. How many seconds she took in completing the race ? (A) 2220 seconds (B) 2234 seconds (C) 5760 seconds

(D) 5774 seconds

46. A fruit seller had 240 pears. 36 of them were bad. The remaining pears were sold at 3 for ` 5. How much did he collect from the sale ? (A) ` 410 (B) ` 340

(C) ` 300

(D) ` 450

1 of his marbles to Dhruv, Dhruv 6 had twice as many marbles as Hemant. How many marbles had Dhruv at first ?

47. Dhruv and Hemant had 60 marbles altogether. After Hemant gave (A) 30

(B) 24

(C) 36

(D) 25

8

6th IMO - SET A

48. Reeta had just enough money to buy exactly 15 exercise books. She bought 8 exercise books which cost ` 17.5 each. How much money she had for 15 exercise books? (A) ` 262.5

(B) ` 525.75

(C) ` 280.5

49. A car travelled 384 kms in 6 hours. How far did it travel in 4 hours ? (A) 96 kms (B) 576 kms (C) 256 kms

(D) ` 245.5 (D) 384 kms

50. Megha has holidays on every second and fourth Saturday of a month. On which dates she has holidays in January 2013?

(A) 1st and 15th

(B) 8th and 29th

(C) 1st and 22nd

SPACE FOR ROUGH WORK

(D) 12th and 26th

Class 5 6th

Set B Year 2012

2

6th IMO - SET B Section I : Logical Reasoning

1.

Beena received her end-of-year result slip but it was torn. What would be her highest possible total score and lowest possible total score? (A) 399, 327 (B) 400, 300 (C) 365, 347 (D) 399, 201

2.

How many of the following letters have a line of symmetry? (A) 1 (B) 2 (C) 3 (D) 4

3. Choose the odd one out. (A) EJOT (B) GLQV 4.

(C) CHMR

(D) BDFH

(C)

(D)

Find the mirror image of given figure (X).

(A)

(B)

5. If P, R and Q, S exchanges their positions and then P and Q moves diagonally and meet at the middle of rectangle, then the direction of R with respect to Q is _____. (A) South-east (C) North-west 6.

Which of the following figures will complete the Fig. (X)? (A)

(C)

7.

(B) South-west (D) North-east

How many triangles are there in the given figure? (A) 10 (B) 11 (C) 12 (D) None of these

(B)

(D)

S

R

P

Q

3

6th IMO - SET B 8.

How many different possible combinations of one colour pencil and one rubber cap from 5 different colour pencils and 6 different rubber caps can be formed ? (A) (B) (C) (D)

9.

22 25 36 30

Find the missing number. (A) 100 (B) 140 (C) 136

3

25

4

7

113

8

6

?

8

(D) 125 10. On the map, each side of each grid square represents 1 kilometre. How much farther does Priya live from the library than Ritika lives from the market ? (Considering the shortest distance) (A) Priya lives 1 km farther than Ritika. (B) Both are at the same distance. (C) Ritika lives 1 km farther than Priya. (D) Can't be determined. 11. The calendar given below shows Aditya's schedule for cricket practice and cricket match.

If Aditya attended every practice in December 20XX, what is the total number of minutes he spent on practice during December 20XX ? (A) 780 mins

(B) 720 mins

(C) 690 mins

(D) 660 mins

12. Mona is facing North-West after turning through an angle of 180° in the anti-clockwise direction. She was facing ______. (A) East (B) North

(C) South-East

(D) South-West

4

6th IMO - SET B

13. How many right angles are there in the figure ? (A) 13

(B) 14

(C) 12

(D) 15

14. How many more squares needs to be removed so that 3/9 of the total squares are removed? (A) 14 (B) 12 (C) 27 (D) 29 15. How many triangles can be drawn using any three dots? (A) 4 (B) 6 (C) 3 (D) 7 16. In a certain code if "pen" is called "pencil", "pencil" is called "eraser" and "eraser" is called "book", then what will be used to erase something done wrong? (A) Pen

(B) Pencil

(C) Eraser

(D) Book

17. Select a figure from the options which will continue the series established by Problem Figures.

(A)

(B)

(C)

(D)

18. Find out which of the following options contains all the components needed to form the key figure. (A)

(B)

(C)

(D)

19. Which figure among the following figures is the odd one out ?

(A)

(B)

(C)

(D)

20. Find the word from the options which can have all the given letters as prefixes. (A) PEL (B) ICE (C) EAN (D) EIN

TR D L M N R SPL

(.....)

5

6th IMO - SET B Section II : Mathematical reasoning 21. Select the correct match of the fraction of shaded part of figures. (A)

(B)

(C)

(D)

22. The rectangle is made up of 12 identical squares. Which of the following 2 parts amongst 4 parts P, Q, R and S will add up to form 7/12 of the rectangle? (A) P and R (C) P and Q

(B) Q and S (D) Q and R

23. A rectangular piece of paper was folded to form the shape shown. What was the perimeter of the piece of paper before it was folded? (A) 14 cm (B) 12 cm (C) 28 cm (D) Data Inadequate 24. What is the least number of squares that must be added so that the line MN becomes a line of symmetry? (A) 4 (B) 6 (C) 5 (D) 7 25. A way is given to express 660 as a product of prime numbers. Find the value of P, Q and R respectively.

(A) 11, 55, 2

(B) 55, 11, 2

(C) 2, 55, 11

(D) 55, 2, 11

26. Sahil chose a secret number. When he rounds off the number to the nearest thousand, he gets 15000. When he rounds off the number to the nearest hundred, he gets 14900. When he rounds off to the nearest ten, he gets 14880. What is the possible number he might have chosen? (A) 14200 (B) 14498 (C) 14879 (D) 14009 27. The value of MMDCCCLXXII – MMDCCLXXIII = __ ? (A) XCIX (B) CI (C) XC 28. A _____ number can be shown as the product of ______ factors. (A) Prime, composite (B) Composite, prime (C) Composite, composite (D) None of these

(D) IC

6

6th IMO - SET B

29. Find the value of P + Q ÷ R × S. (A) 41 (B) 48 (C) 51 (D) 50 30. Which of the following statements is true? (i) The smallest number that can be divided by the given numbers without leaving any remainder is called the lowest common multiple. (ii) The greatest number which divides two or more numbers exactly without leaving any remainder is called the highest common factor. (A) Only (i) (B) Only (ii)

(C) Both (i) and (ii)

(D) Neither (i) nor (ii)

31. Find the values P, Q, R and S respectively.

Figure

(A)

20 1 ,3 , 0.5, 3.7 10 10

(B) 2

5 7 , 2.5, 3 , 3.7 10 10

Fraction P

Decimal Q

R

S

(C) 2 1 , 3.7, 3 1 , 2.5 10 10

(D)

25 37 , 2.5, , 3 .7 100 100

32. A number is made up of 3 digits. The digit in the hundred's place is twice the digit in the one's place. The digit in the ten's place is 1 less than the digit in the one's place. If the digit in the ten's place is 2, what is the number? (A) 623 (B) 432

(C) 622

(D) 224

33. Select the correct match of mixed fractions in Column I with improper fractions in Column II. Column I Column II 68 5 (A) 5 12 12 86 8 (B) 7 11 11 6 40 (C) 4 10 10 34 10 (D) 8 3 3 34. The product of two numbers is 72. If the greater number is 9, find the difference between 100 and the smaller number. (A) 63

(B) 64

(C) 81

(D) 92

35. The length of a rectangle is twice its breadth. If the length of the rectangle is 8 cm, find its area. (A) 24 cm2

(B) 32 cm2

(C) 48 cm2

(D) 64 cm2

7

6th IMO - SET B 36. How much does

(A) ` 11

+

+

cost ?

(B) ` 13

(C) ` 14

(D) ` 12

37. Find the value of X in the given expression. 67.245 – ___ X__ = 31.193. (A) 36.025

(B) 36.205

(C) 36.052

(D) 36.520

38. ABCD is a square and M, N, P and Q are the mid-points of each side of the square ABCD. The area of MNPQ is 32 cm 2. Find the length of the side of ABCD if area of ABCD is twice the area of MNPQ.

(A) 24 cm

(B) 16 cm

(C) 8 cm

(D) 32 cm

39. The timeline below is marked at equal time intervals. What is the time represented by Y? (A) Noon

10 a.m. 11 a.m. (B) 12:30 p.m.

Y (C) 1:00 p.m.

(D) 1:30 p.m.

40. There are five angles below. How many of them are greater than 90°?

(A) 1

(B) 2

(C) 3

(D) 4

Section III : Everyday Mathematics 41. 520 g of tiny pink pebbles are mixed with 580 g of tiny purple pebbles. Misha packed the mixture of tiny pebbles into 5 packets equally. How many kilograms of the mixture are there in each packet? (A) 220

(B) 0.220

(C) 0.022

(D) 0.02

42. Alisha had 114 more beads than Beena. After Alisha gave 96 beads to Beena, Beena had twice as many beads as Alisha. How many beads did Beena have at first? (A) 174

(B) 120

(C) 60

43. Tarun bought an equal number of apples and oranges at the cost as shown. If he paid a total of ` 560, how many apples did he buy? (A) 20 (B) 15 (C) 10

(D) 18

(D) 160

8

6th IMO - SET B

44. Latika earned ` x in a month. She gave ` 15000 to her father, spent ` 1000 and saved the rest. She saves ` 4000. What is the value of x? (A) ` 25000 (B) ` 20000

(C) ` 19000

(D) ` 18000

45. Megha paid ` 1900 for 4 dolls and 2 teddy bears. A doll costs twice as much as a teddy bear. Find the cost of a doll. (A) ` 190

(B) ` 380

(C) ` 140

(D) ` 280

46. Mohit bought a packet of flour. He use 3/5 of it to bake a cake. If he had 500 g of flour left, what was the weight of the packet of flour that he had bought? (A) 1 kg 500 g

(B) 1 kg 200 g

(C) 1 kg 250 g

(D) 1 kg

47. Sakshi is thrice as old as Krish when Parul is 33 years old and Krish is 13 years old. How old is Sakshi when Parul is 40 years old? (A) 34 years

(B) 39 years

(C) 40 years

(D) 46 years

48. A movie ticket costs ` 200. For every 9 tickets bought, one ticket was given free. If a group of friends paid ` 1800 for the tickets, how many friends were there in the group? (A) 9 (B) 10 (C) 8 (D) 11 49. Arjun and Meena had a total of 64 stamps at first. After each of them gave 1/2 of their stamps to Jyoti, Arjun had 8 stamps more than Meena. How many stamps did Arjun have at first? (A) 40

(B) 24

(C) 64

(D) 16

50. Rohit's height is 2 m 58 cm. He is 8 cm taller than Amit. What is the total of Rohit's and Amit's height? (A) 5 m 24 cm

(B) 4 m 60 cm

(C) 4 m 8 cm


(D) 5 m 8 cm

Class 5 7th

Set A Year 2013

2

7th IMO - Set A

logical reasoning 1.

Which of the following options will complete the number pattern below?

2025

A. B. C. D. 2.

2100

2600

?

2230 3025 3120 3225

7.

Garden

Mohit

Mall

A. B. C. D.

Hotel

Temple

5, 2, 1, 1,

1 1 5 2

7

School Railway Station

A. B. C. D.

Hospital

Hospital Park Temple Hotel

2. Australia 4. Afghanistan

There is a matrix that follows a certain rule row-wise or column-wise. Find the missing number.

Mohit is facing the railway station. What will he be facing, if he turns 315º anti-clockwise? Park

3.

2525

1. Asia 3. America 5. Africa A. 2, 3, 4, B. 4, 5, 3, C. 4, 3, 2, D. 4, 5, 3,

8.

9

11

81 169

?

2

6

4

212 241 144 289

Minimum number of straight lines required to make the given figure is ______.

If the following numbers are arranged in the descending order, what will be the middle digit of the number which will be exactly in the middle? 317, 493, 283, 269, 875, 423, 725 A. B. C. D.

4.

A. B. C. D.

In a certain code language, 'MAN' is coded as 28 and 'GIRL' is coded as 46, then 'WOMEN' will be coded as A. B. C. D.

5.

2 3 6 7

69 70 80 83

9.

There is a relationship between figures (i) and (ii). Establish a same relationship between figures (iii) and (iv) by selecting a suitable figure from the options which will replace the '?' in figure (iv).

Which of the following CANNOT be formed from the letters of the given word? ATTRIBUTABLE A. B. C. D.

6.

BATTER TRIAL EAT ATTITUDE

Arrange the given words as they are arranged in dictionary.

12 14 16 17

A.

B.

3

7th IMO - Set A

14. Tarun ranked 6th in a class of 35 students. What is his rank from the bottom of the class?

C.

A. B. C. D.

D. 10. Select the missing part, which will complete the pattern in Fig. (X)?

39th 30th 28th 31st

15. Which of the following options is exactly same as that of Fig. (X)? A.

B.

C. A. D. B.

16. Select a figure from the options which will continue the series established in the five problem figures.

C.

D.

F

A. 11.

Select the odd one out. A. B. C. D.

53685 45684 37683 94319

B.

12. Which of the following is the correct mirror image of given word, if the mirror is placed vertically left?

F

C.

F

VT5 6 B 2 L A. B. C. D.

L 2 B 6 5TV

13. Five girls took part in a race. Beena finished before Priya but behind Latika. Garima finished before Zarrin but behind Priya. Who won the race? A. B. C. D.

Beena Garima Latika Priya

D.

F

17. If a meaningful word be formed using the five letters RCONW each only once, then the fourth letter of that word is your answer. If more than one such word can be formed, your answer would be 'X' and if no such word can be formed, your answer is 'M'. A. B. C. D.

M W X N

4

7th IMO - Set A

18. If 'Rain' is called 'Road', 'Road' is called 'Water', 'Water' is called 'Cloud', 'Cloud' is called 'Sky', 'Sky' is called 'Sea' and 'Sea' is called 'Path', where do aeroplanes fly? A. B. C. D.

20. If Rohan works on all Saturdays and the dates which are multiples of 5 are considered as holidays, then how many days are working? (Assume that Sunday is a holiday)

Road Sky Sea Water

19. Find the wrong term in the given series. X1M W2N V3O U4Q T5Q A. B. C. D.

W2N V3O U4Q T5Q

A. B. C. D.

24 21 19 20

MATHEMATICAL REASONING 21. Find the difference in perimeters between the two figures. (figures are not drawn to scale)

A. B. C. D.

4cm

3cm 7cm 3cm 4cm

5cm

5cm 6cm

5 6 8 2

4cm

3cm

cm cm cm cm

22. The product of 214 and a number is X. Taking 49 away from X gives 1449. Find the number. A. B. C. D.

7 9 1498 1640

23. I am an even number. You will find me if you count in 7s. I am less than 100. I am more than 80. Who am I? A. B. C. D.

72 84 96 82

24. The sum of 3.298, 4.085 and 17.8 is _____. A. B. C. D.

7.561 9.163 25.183 28.291

25. What fraction of the figure is shaded?

A. B. C. D.

1 2 1 5 1 4 1 3

26. What is the missing number in the box? 2

A. B. C. D.

1 8

3

1 4

?

1 4 1 4 5 1 3 8 1 5 3 4

27. How many of the given letters have atleast one line of symmetry?

5

7th IMO - Set A A. B. C. D.

0 1 2 3

31. 40 more children visited the old age home on Monday than on ______. A. B. C. D.

28. Find the value of P. P+1=Q Q+1=R P + Q = 15 Q + R = 17 A. 6 B. 9 C. 8 D. 7

32. Subtract 65 minutes from the sum of 145 minutes and 1 hour 20 minutes. The answer is A. B. C. D.

29. Taking a number from 32 thousands gives 14 hundreds and 26 tens. The number is _____. A. B. C. D.

1660 30340 32000 33660

Direction (30-31) : The given graph shows the number of children who visited an old age home in 5 days. Study the graph carefully and answer the given questions. 600 Number of children

Tuesday Wednesday Thursday Friday

33. How many of the given figures have right angles?

A. B. C. D.

400 300 200

2 3 4 5

34. Select the INCORRECT match. A. B. C. D.

500

165 mins 2 hrs 40 mins 215 mins 3 hrs 40 mins

CXLIX – 149 DCCX – 710 XCVII – 108 MCLIV – 1154

35. What is the shaded area of the figure?

100 0

Mon

Tue

Wed

Thur

Fri

30. On which two consecutive days was there a difference of 80 in the number of children who visited the old age home? A. B. C. D.

Monday, Tuesday Tuesday, Wednesday Wednesday, Thursday Thursday, Friday

2cm 2cm A. B. C. D.

30 28 32 42

cm cm2 cm2 cm2 2

EVERYDAY MATHeMATICS 36. There were 32 boys and 4 times as many girls in a physical fitness camp. How many more girls were there? A. B. C. D.

84 96 108 72

37. A bike travelled 486 km in 6 hours. How far did it travel in 4 hours ? A. B. C.

224 km 324 km 420 km

D.

234 km

6

7th IMO - Set A

38. The population of a town is 28,76,543. Out of these 15,42,678 are males. How many females are there in the town? A. B. C.

13,33,885 13,33,568 13,33,865

D.

13,23,856

B. C. D.

128.25 L 130.75 L

A. B. C. D.

` ` ` `

1 2

40.8 44 44.1 34.8

43. Amrita had to travel 20 km to attend a function. She had covered 17 km 50 m when the car broke down. How much distance is remained to be covered?

540 8000 600 800

1 5 L 8 1 5 L 7

A. B. C. D.

1 4 L 8 1 6 L 3

2 km 590 m 30950 m 2045 m 2 km 950 m

44. Ankita's sister goes for Kathak dance lessons on Tuesday, Thursday and Saturday every week. If each lesson lasts 50 minutes, how much time did she practise Kathak dance at her class in three weeks? A. B. C. D.

7 7 6 8

hrs hrs hrs hrs

30 35 35 45

mins mins mins mins

45. The area of a swimming pool is 225.28 sq metres. Its breadth is 8.8 metres. Find the length.

41. If a drum can hold 18.75 L of diesel, how many litres of diesel can 7 such drums hold? A.

C. D.

tickets?

3 40. The health club advises every child to drink 2 L 4 7 of water in the morning, 1 L in the afternoon and 8 1 L before going to bed. How much water should a 2 child drink in whole day? A.

131.25 L

42. A ticket costs ` 12.60. How much shall I pay for 3

39. 3,84,000 marble tiles have to be packed in boxes. If 480 marble tiles can be packed in one box, how many boxes would be needed? A. B. C. D.

B.

130.89 L

A.

25.8 m

B.

25.6 m

C.

35.2 m

D.

40.1 m

Achievers Section 46.

My weight is 5 kg 6

1 kg 12

A. B. C.

10 kg 4 7 kg 8 5 kg 4

D. What is my weight?

1 kg 8

8 kg 9

47. The figure is made up of 4 identical squares. Find AB + CD.

A

A. B. C. D.

4 3 5 6

cm cm cm cm

B

C

D 3 cm

7

7th IMO - Set A 48. The

represents a whole number. What is

?

87 5 × 5 43 75 A. B. C. D.

7 8 9 5

A. B. C. D.

3 3 4 4

hrs hrs hrs hrs

45 40 15 40

mins mins mins mins

15 10 15 10

sec sec sec sec

50. 100 trees were planted along one side of a straight road. The trees were planted 9 m apart. What is the distance between the first and the last tree?

49. Aman drove from Town P to Town Q. How long did he drive?

Left Town P

Arrived at Town Q

A. B. C. D. sPace P Pace For roUgH WorK

882 m 891 m 900 m 909 m

9m

Class 5 7th

Set B Year 2013

2

7th IMO - Set B


How many meaningful English words can be made with the letters ERTU using each letter only once in each word?

A. B. C. D.

2.

Study the given arrangement carefully :

5.

Find the number of cubes in the given figure.

A. B. C. D.

6.

Select a figure from the options in which Figure (X) is embedded as one of its part.

0 1 2 More than two

1 FA3 D K U J 9 B R 2 K E L8 G P Which of the following is eighth to the right of seventh letter from the left end in the above arrangement?

A. B. C. D.

F P L 2

3.

Select the figure from the options which forms the correct mirror image of Fig. (X), if mirror is placed along MN?

13 14 15 16

Figure (X)

A.

B.

C.

D.

B.

7.

Mohit travels 12 km west, then 3 km towards south and then 12 km towards east. How far is he from the starting point?

C.

A. B. C. D.

D.

8.

4.

In a certain code 'INFORM' is written as 'FNIMRO', then 'DETECT' will be coded as _______.

Samay correctly remembers that he visited Chandigarh before thirteenth of August but after ninth of August. His sister Priya correctly remembers that Samay visited Chandigarh after eleventh of August but before fourteenth of August. On which day of August did Samay visit Chandigarh?

A. B. C. D.

A. B. C. D.

Fig. (X)

A.

DETTCE TEDECT TEDCET TEDTCE

3 km 20 km 15 km 5 km

Eleventh Twelfth Tenth Thirteenth

3

7th IMO - Set B 9.

Garima is senior to Megha but not to Zarrin. Beena is junior to Megha but no one is senior to Latika. Who is the most junior? A. B. C. D.

Garima Megha Latika Beena

10. If one is added to the second digit of each number in given set of numbers, then which number will be lowest? 489 441 454 473 483

A. B. C. D.

441 489 454 473

11. Select a figure from the options which will complete the Figure (X).

Figure (X)

A.

B.

C.

14. What will come next in the series below? C4X, F9U, I16R, ?

A. B. C. D.

K25P L25P L25O L25M

15. Tisha ranks eleventh from the top and tenth from the bottom in an exam. How many students are there in her class?

A. B. C. D.

20 21 22 19

16. Select a figure from the options which will complete the series shown below.

A.

B.

C.

D.

17. There is a certain relationship between figures (1) and (2). Establish a similar relationship between figures (3) and (4) by selecting a figure from the options to replace the (?) in figure (4).

D.

12. Find the missing number, if a certain rule is followed row-wise or column-wise. 24

82

96

32

78

100

14

65

?

A. B. C. D.

79 69 59 89

13.

Select the odd one out. A. ADGJ B. PSVY C. JMOR D. UXAD

A.

B.

C.

D.

4

7th IMO - Set B

18. Select a combination of numbers from the options which will form a meaningful word.

Y 1

A. B. C. D.

3, 3, 3, 3,

2, 2, 1, 2,

L 2 5, 5, 2, 1,

1, 1, 5, 5,

P 3 6, 4, 4, 6,

E 4

A 5

R 6

4 6 6 4

C.

D.

19. Identify the symmetrical figure corresponding to the half symmetrical figures shown below. 3 -turn 4 in an anti-clockwise direction and then 270° turn in clockwise direction. He is facing _________ now.

20. Sandeep is facing the Garden. He makes a

A.

B.

A. B. C. D.

Playground Garden Swimming pool Library

Mathematical reasoning 21. Which of the following options makes the given expression true? 990064 + 420349

A. B. C. D.

912345 + 521935

> < = Can’t be determined

22. Select the INCORRECT match.

A. B. C. D.

LIV = 54 XLVI = 46 LXXIX = 89 XL = 40

23. The quotient when 222816 is divided by 24 is _____.

A. B.

9286 9284

C. D.

9248 2984

24. How many prime numbers are there between 40 and 54?

A. B. C. D.

4 5 3 6

25. The given figure shows two ribbons. What is the difference in length between the ribbons?

A. B. C. D.

1.8 1.6 1.7 1.5

m m m m

5

7th IMO - Set B 26. The value of 9.85 + 0.6 – 0.28 is ____.

A. B. C. D.

10.73 10.37 10.17 9.17

27. What is the area of the shaded figure?

C. D.

18 20

31. The number of factors of 126 are ______.

A. B. C. D.

12 14 16 18

1 of the given figure was to be shaded, what 4 fraction of the whole figure would be shaded?

32. If another

A. B. C. D.

26 52 64 56

cm2 cm2 cm2 cm2

28. How many lines of symmetry does the figure have?

A.

B.

C.

D.

5 7 3 8 4 7 1 2

33. The product of 24 tenths and 4 ones is the same as _________.

A. B. C. D.

0 1 2 4

29. Find the perimeter of the given figure. (Two rectangles are of same shape and size) (FG = FH = GH)

A. B. C. D.

165 150 135 170

cm cm cm cm

30. How many right angles are there in the figure?

A. B.

12 16

A. B. C. D.

96 tenths 9 tenths 6 hundredths 96 hundredths 9 ones 6 hundredths

34. The clock shows the time at which the movie started. 1 The movie ended 2 hours later. When did the 2 movie end?

A. B. C. D.

5 4 4 5

: : : :

17 47 50 20

35. On a Saturday afternoon, Avantika read page 346 to page 597 of a novel. How many pages did she read? A. 251 B. 252 C. 253 D. 250

6

7th IMO - Set B

everyday Mathematics 36. Mr. Gupta bought a house for ` 1672000. He spent ` 12582 on the furniture and ` 8540 for the curtains. Then he spent another ` 5675 for preparing the front lawn of the house. How much money did he spend altogether?

A. B. C. D.

` ` ` `

1678997 1698797 1498567 1512998

37. Latika saved ` 28.50 from her pocket money. Her mother gave her ` 45.70 and her father also gave her ` 65.25. How much money does Latika have now?

A. B. C. D.

` ` ` `

129.78 139.45 119.75 145.50

1 38. The price of a metre of cloth is ` 12 . What would 2 7 be the price of 5 metre of cloth? 15 1 A. ` 59 15 1 B. ` 70 5 1 C. ` 68 3 1 D. ` 45 3 39. A rectangular floor is 9 m long and 7 m wide. A square rug of length 5 m is laid on the floor. What is the area of the floor not covered by the rug?

A. B. C. D.

25 38 63 88

m2 m2 m2 m2

40. Aman took 1 hr 21 minutes to travel from his house to his office on Monday. He took 2 hrs 12 minutes to travel the same route on Tuesday because of a traffic jam. How much longer did he take on Tuesday?

A. 1 hour

B. C. D.

62 minutes 51 minutes 91 minutes

41. A housing project involves construction of 1879392 houses for poor people in 96 colonies. How many houses will be constructed in each colony?

A. B. C. D.

15877 18577 19757 19577

42. A rectangular playground is 125 m long and 95 m wide. If a boy walks around it 3 times, how much distance does he cover?

A. B. C. D.

1320 m 1300 m 660 m 1200 m

43. There was 11.265 L of tea in a pot. It was distributed among 40 people, each person get 220 mL of tea. 1.345 L of tea fell on the floor. How much tea is left in the pot?

A. B. C. D.

1.1 L 1.12 L 10.71 L 8.9 L

1 44. Shweta bought 7 metre lace for making a dress. 4 1 If 1 metre of the lace is left, what length of lace 6 was used by her?

A.

B.

C.

D.

1 7 m 3 1 5 m 3 1 6 m 12 6m

45. What is the cost of 3 kg of cherries?

85 paise per 100 g.

A. B. C. D.

` ` ` `

26 23.85 8.5 25.50

7

7th IMO - Set B

ACHIEVERS SECTION 46. The time shown on Manu’s watch was 45 minutes slow. He adjusted the watch to set it to the actual time. How many right angles had he formed by moving the minute hand? Did he make a clockwise or anti-clockwise turn?

A. B. C. D.

2 2 3 3

right angles, anti-clockwise right-angles, clockwise right angles, anti-clockwise right angles, clockwise

49. Which of the following statements is INCORRECT?

A. B. C.

D.

Division by zero is not possible. Symbols V, L and D can be used only once. 2 is the only even number which is a prime number. The sum of common factors of 32 and 48 is 20.

50. Select the correct match. Figure

Unshaded Area

Shaded Area

47. The difference between (4 tens 12 tenths and 25 hundredths) and (3 tens 14 tenths and 45 thousandths) is

A.

96 cm2

44 cm2

B.

180 cm2

108 cm2

C.

20 cm2

15 cm2

D.

92 cm2

48 cm2

A. B. C. D.

10.05 10.005 10.5 15.005

48. Which of the following options hold? Statement 1 : The value of CM – CD + CVII is 607. Statement 2 : Symbol C can be added to every Roman symbol. But it can be subtracted from D and M only.

A. B. C. D.

Statement 1 is true but statement 2 is false. Statement 1 is false but statement 2 is true. Both the statements are true. Both the statements are false.


Class 5 8th

Set A Year 2014

2

8th IMO - Set A

logical reasoning logical reasoning 1.

Find the missing number in the given number pattern. 9

27

31

93

97

A. B. C. D.

2.

If 'Train' is called 'Bus', 'Bus' is called 'Tractor', 'Tractor' is called 'Car', 'Car' is called 'Scooter', 'Scooter' is called 'Bicycle', 'Bicycle' is called 'Rickshaw', then which is used to plough a field?

A. B. C. D.

3.

Which of the following Venn diagrams depict the relationship amongst 'Nose, Body, Hands'?

316 1135 291 377

Train Bus Tractor Car

B.

C.

D.

4.

In the given letter series, which letter is exactly midway between F and R?

5.

A. B. C. D.

7.

Find the figure which is different from the others.

A.

B.

C.

D.

8.

Select the correct mirror image of the given Fig. (X).

23 22 20 24

A.

Count the number of cubes in the given figure.

?

6.

Mirror

YAC B E D F I J H K M N O Q PR U V X T Z A. N B. K C. M D. H Find the missing number, if a certain rule is followed in the given figures.

A. B. C. D.

25 33 39 41

3 19 5

7 39 5

6 ? 4

4

4

9

Fig. (X)

A.

B.

C.

D.

8th IMO - Set A

9.

3

Which line in the given diagram is the correct line of symmetry? P E G R

A. B. C. D.

F

Q

PQ RS EF GH

10. There is a certain relationship between fig. (i) and (ii). Establish a similar relationship between fig. (iii) and (iv) by selecting a suitable figure from the given options. ? (i)

A.

B.

C.

D.

(ii)

(iii)

A. B. C. D.

2, 5, 4, 4,

5, 6, 2, 2,

3, 2, 6, 6,

130° 315° 225° 230°

A. B. C. D.

2

6

8

12

17

5

13

?

25

35

17 27 35 41

14. Which of the following figures is the top view of the solid?

A.

B.

C.

D.

(iv)

11. Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combination of numbers so that letters arranged accordingly form a meaningful word. E 1 4, 1, 3, 1, 5, 1, 5, 3,

A. B. C. D.

13. What is the missing number in the given series below?

S

H

H N T O R 2 3 4 5 6 6 4 3 1

12. Beena was facing the library at the beginning. She turned anti-clockwise to face south-east. What angle did she turn through? North Library

15. Which of the following options will complete the Fig. (X)?

? Fig. (X)

A.

B.

C.

D.

4

8th IMO - Set A

MATHEMATICAL REASONING 16. In the given figure, the area of the shaded square is 196 cm2. What is the perimeter of the rectangle EFGH? E F

A. B. C. D.

90 54 98 49

H cm cm cm cm

G

17. Using the given clues, find the value of

+

×

+

A. B. C. D.

+

.

= 15.9 = 21.2

×

= 1.5

0.375 0.235 0.75 0.1405

a

c

d A. B. C. D.

∠a ∠b ∠c ∠d

A. B. C. D.

Class 5A Class 5B

Mon Tue

Wed Thu Days

Fri

20 kg 16 kg 24 kg 9 kg

21. Select the correct match.

18. Which of the angles in the figure is larger than 2 right angles?

10 9 8 7 6 5 4 3 2 1 0

Weight (in kg)

20. The given bar graph shows the weight of old newspapers collected by 2 classes over 5 days. What is the difference between the total weight collected by class 5A and class 5B?

A. B. C. D.

897 - DCCXCVII 1234 - MCCXXIV 541 - CDXLI 547 - DXLVII

22. H o w m a n y s h a p e s d o n o t h a v e a n y l i n e o f symmetry?

b

19. The total weight of 3 objects is shown in the figure. The cone is 1 kg heavier than the ball. The ball is 1 kg heavier than the cylinder. What is the weight of the cone?

A. B. C. D.

3 1 2 4

23. Find the missing value. 2.25 ÷ 9 + 1

A. B. C. D.

5 8 6 7

kg kg kg kg

A. B. C. D.

0.075 0.3 1.3 1.375

1 1 – (6.5 × 0.2) = ___ ?__ × 4 8

8th IMO - Set A

5

24. Rohan cycled from his house to the post office, then to the market, then to the doctor and then he went to his house. The distances are marked in the given figure. What is the total distance covered by Rohan? Post Office

1.6

House

0.7

A. B. C. D.

km

Market

km

5k

1.3

m

29. What is the difference in the place value of the digits 8 and 6 in the numeral 8962321?

A.

7994000

B.

7904000

C. D.

7960000 7940000

30. What is the missing sign in the box?

Hospital

5

6.6

1 1 1 4 +9 −3 5 5 5

km

12.5 km 11.4 km 9.53 km 10.3 km

25. What fraction of the figure is shaded?

A.

<

B.

=

C. D.

> Can't be determined

1 1 1 6 −8 +5 4 4 4

31. Which of the following statements is INCORRECT?

A.

A square has 4 equal sides.

B.

A rectangle has 2 pair of equal sides.

C. D.

A square has 4 right angles. A rectangle has only 2 right angles.

32. 80 has ____ factors.

A.

B.

C.

D.

5 8 5 16 5 32 5 64

A.

10

B.

6

C. D.

8 12

33. Mohit drove from Delhi to Chandigarh as per the time shown in the clocks. How long did he drive?

26. The place value of 6 in 43,34,96,258 is ____.

A. B. C. D.

6000 60000 600000 6000000

Left Delhi

A.

5 hours 20 minutes

27. 19 : 40 hrs in 12 hr clock is written as ____.

B.

5 hours 25 minutes

C. D.

5 hours 30 minutes 5 hours 40 minutes

A. B. C. D.

7:40 7:40 9:40 9:40

a.m. p.m. a.m. p.m.

28. If  +  +  = 34.03 kg and  +  + +  = 39590 g, then  +  +  +  +  = _____.

A. B. C. D.

50.56 kg 19.03 kg 12.5 kg 55.56 kg

Arrived Chandigarh

34. Garima is XIII years old. Her sister is X years old. How old will they be when their total age is LV years?

A.

XXIX, XXVI

B.

XXV, XXII

C. D.

XX, XXIII XIX, XXII

6

8th IMO - Set A

35. The difference between the (sum of third multiple of 18 and the sixth multiple of 12) and sum of factors of 24 is ____.

A. B. C. D.

66 186 176 126

EVERYDAY MATHeMATICS 36. A company earned ` 56,48,000 in a year. If the expenses were ` 4,74,596, how much money was saved?

A.

` 2,34,467

B.

` 61,37,007

C. D.

` 52,34,728 ` 51,73,404

37. In a class, there are 28 boys and 14 girls. What fraction of the pupils are girls?

A.

1 3

B.

1 4

C.

D.

1 5 1 6

C. D.

` 88 ` 65

41. Varun purchased a book for ` 18.45, a pair of shoes for ` 70.25 and a shirt for ` 55.75. How much money did Varun spend in all?

A.

` 144.35

B.

` 154.53

C. D.

` 144.45 ` 114.55

42. The base of a rectangular tank is 21.5 m long and 10 m broad. Find the cost of painting the base of the tank, if the cost of painting is ` 2.50 per sq. m.

A.

` 118.50

B.

` 215.80

C. D.

` 587.50 ` 537.50

38. A fruit seller had 69875 oranges. He packed them in boxes, with each box containing 325 oranges. Find the number of boxes.

43. Mini took 35 minutes to complete her homework. She finished her homework at 12:05 p.m. What time did she start doing her homework?

A.

225

A.

11:30 p.m.

B.

315

B.

11:30 a.m.

C. D.

215 205

C. D.

12:40 a.m. 12:40 p.m.

39. Latika takes 3 minutes 20 seconds to finish reading of one page of a storybook. If the book has 42 pages, how long will she take to finish reading it?

A. B. C. D.

22 minutes 20 seconds 1 hour 24 minutes 134.4 minutes 2 hours 20 minutes

1 1 40. The cost of 3 kg of sweets is ` 185 . Find the cost 2 2 of 1 kg of sweets.

A.

` 55

B.

` 53

44. Saurabh can read 6 books in a day. How many weeks will he take to finish 1440 such books?

A.

33

B.

35

C. D.

240 10

45. 68 people can travel in one bus. How many buses will be needed for 1904 people going on a pilgrimage?

A.

27

B.

28

C.

26

D.

29

8th IMO - Set A

7

Achievers section 46. In a town, there are two public libraries. The number of books in one library is 3,48,386 and the number of books in the other library is 5,17,058.

(a) What is the total number of books in both the libraries? (b) How many more books does the second library have than the first library?

(a)

C.

D.

In the number 8176942, the place value of the digit '1' is 50000 × 20. The place value of the digit '5' in the number 7538612 is 21869 more than 478131.

49. Find the value of

)

463 2730311

(b)

A.

765484

268493

B.

765239

168672

C. D.

865444 865444

168672 158672

−231 R 4153 − 3704 4491 −4 S 67 3241 − 3241 0

47. Rohit’s car was parked in parking from 2.30 p.m. to 6.25 p.m. How much does he have to pay? Parking Rates First hour ` 13.20 Every additional half an hour or part ` 4.55 thereof

A. B. C. D.

` ` ` `

P×Q−S + R . 2 5P9Q

45.5 35.95 25 40.5

A. B. C. D.

40 30 60 55

50. Monu is thinking of a four digit number.

48. W h i c h o f t h e f o l l o w i n g s t a t e m e n t s i s INCORRECT?

A.

The place value of the digit '2' in the number 532689 is 200 times the number 10.

B.

The difference in place values of the digits '7' and '4' in the number 6734581 is 696000.

● ●

●

● A. B. C. D.


The fourth digit is the greatest. When the third digit is divided by the first digit, the quotient is 2. The difference between the second and third digit is 1. The first digit is double of 2. 3768 4789 5698 1239

Class 5 8th

Set B Year 2014

8th IMO - Set B

2


How many meaningful English words can be formed from the letters ADRW using each letter only once in each word?

A. B. C. D.

2.

Some letters given are numbered 1, 2, 3, 4 and 5 followed by four options containing combination of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word. U J C I E 1 2 3 4 5 A. B. C. D.

3.

There is a connection between the numbers in the first row and those in the second row. Find the missing number.

4.

If Mohit is facing the sports club and turn in an anticlockwise direction to face the Airport, what angle did he turn through?

A. B. C. D.

6.

Find the missing number, if the wheel is rotated in the given direction.

A. B. C. D.

7.

Select the correct mirror image of Fig.(X).

A. B.

C.

D.

8.

Four darts were thrown at a dartboard as shown below. All four darts landed on the dartboard. Which of the following is not a possible score?

A. B. C. D.

One Two Three None of these

5.

1, 2, 2, 3,

2, 4, 1, 1,

3, 1, 4, 2,

4, 5, 3, 4,

5 3 5 5

First row : 15 21 34 12 19 Second row : 105 147 238 84 ? A. 133 B. 143 C. 193 D. 173 Which of the following options will complete the pattern in Fig.(X)?

225° 135° 180° 270°

8 4086 16 4096

A.

B.

C.

D.

80 90 130 210

8th IMO - Set B

9.

3

The top half of a symmetrical figure is shown below. XY is the line of symmetry. Which one of the following options will complete the symmetric figure?

13. Which of the following Venn diagrams best represents the relationship amongst Colour, Red, Blue? A.

B.

A.

B.

C.

C.

14. Find the odd one out.

D.

A.

A. B. C. D.

D.

10. If 'White' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Yellow', 'Yellow' is called 'Green', 'Green' is called 'Black', 'Black' is called 'Violet' and 'Violet' is called 'Orange', then what would be the colour of human blood?

Red Yellow Green Violet

11. Count the number of squares in the given figure.

B.

C.

D.

15. There is a certain relationship between Fig.(i) and (ii). Establish the similar relationship between Fig.(iii) and (iv) by selecting a suitable figure from the options which will replace the (?) in Fig.(iv).

A. B. C. D.

11 21 18 19

12. Study the following arrangement carefully and answer the question given below. m 4 et % j 9 ib @ u 8 © n # f 1 v 7  2 ah 3 y 5 $ 6 K

Which of the following is ninth to the right of the seventeenth from the right end of the above arrangement? A. B. C. D.

A % I Y

A.

B.

C. D.

8th IMO - Set B

4

mathematical Reasoning 16. What fraction of the figure is unshaded?

19. ______ is a factor of 6th multiple of 53.

A.

4

B.

5

C.

6

D.

7

20. Which of the following numbers is the greatest?

A.

0.6

B.

0.64

13 16

C.

0.608

B.

D.

0.631

13 32

C.

21. Place value and face value of a number is always

19 32

D.

32 19

A.

One’s Place

B.

Ten’s place

C.

Hundred’s Place

D.

None of these

A.

equal at ____.

17. Rectangle ACEG below is divided into 4 parts. BCDX is square. What is the area of the shaded part?

22. Which one of the figures is a symmetrical figure?

A. B. C. D.

28 32 48 64

cm2 2 cm cm2 2 cm

18. The given table shows a baby's weight on the first day of each month from April to August. Date 1 April 1st May 1st June 1st July 1st August st

Weight (kg) 3.6 5.0 6.0 6.7 7.2

In which month did the baby's weight increase the most?

A. B. C. D.

April May June July

A.

Both (i) and (v)

B.

Only (v)

C.

Both (ii) and (iv)

D.

Only (iii)

23. 19 ÷ 5

2 2 1 + 32 ÷ 5 = 13 − _____ . 3 3 6

A.

4

1 6

B.

8.9

C.

9

D.

51

24. Roman numeral for 498 is ____.

A.

CDCXVIII

B.

CDCXIV

C. D.

CDXCVIII None of these

8th IMO - Set B

5

25. The shaded figure given below is formed using 3 squares and 3 equilateral triangles. The length of the straight line AB is 15 cm.

31. ______ is equivalent of one lakh in International System of number.

A.

Hundred thousand

B.

Ten million

C.

One million

D.

Ten thousand

32. How many angles inside the figure below are equal to three right angles?

Find the perimeter of the shaded figure.

A.

45 cm

B.

70 cm

C.

75 cm

D.

105 cm

26. Sum of the factors of 71 is ______.

A.

72

B.

194

C.

71

D.

78

27. 4

A.

4

B.

2

C.

3

D.

1

33. What is the weight of the packet of sugar as shown on the weighing scale in the figure?

5 hours = _____ seconds. 6

A.

11400

B.

17400

C.

8700

D.

10800

28. There are ______ pair of parallel W lines in the given figure. Y A. 2 X

B.

5

C.

3

D.

4

B

A

Z

K E H

D C G

F

A.

300 g

B.

350 g

C.

400 g

D.

450 g

A.

2.625 × 10

1 complete 34. How many right angles are there in 2 2 turns?

B.

2.625 ÷ 10

C.

2625 × 10

A.

8

D.

26250 ÷ 10

B.

10

C.

12

30. ______ is a factor of every number and every number is a factor of itself.

D.

14

A.

0

B.

1

A.

318 – CCCXVIII

C.

2

B.

523 – DXXIII

D.

10

C.

694 – DCXIV

D.

940 – CMXL

29. 100 × 26.25 is same as ______.

35. Select the incorrect match.

8th IMO - Set B

6

Everyday mathematics 36. A traveller covered a distance of 268640 km in 365

41. In the first year, the total amount earned from the

days. If he covered the same distance every day, how

sale of tickets for a play is ` 7580.95. In the second

much distance did he cover each day?

year, the amount goes up to ` 9635.65 and in the third year, it is ` 152 less than what it was in the second

A.

810 km

B.

736 km

C.

736 m

A.

` 2670.25

D.

533 m

B.

` 10317.50

C.

` 78416.30

D.

` 26700.25

2 37. A gas cylinder has a capacity of 34 L of gas. 27 L of 3 gas is used. How much gas is left in the cylinder?

6

1 L 3

B.

5

2 L 3

C.

4

3 L 7

A.

D.

9

1 L 2

38. A tin can hold 17.8 L of oil. How many such tins will be required to hold 213.6 L of oil?

year. What is the total amount in three years?

42. Find the area of rectangular garden of length 18 m and breadth 10 m. Also, find the cost of manuring 2 the garden at the rate of ` 5 per m .

A.

2 180 m , ` 1800

B.

180 m2, ` 900

C.

28 m2, ` 280

D.

14 m2, ` 450

43. There are 656 apples in one box. How many apples are there in 945 such boxes?

A.

324720

B.

616620

A.

12

C.

514313

B.

17

D.

619920

C.

13

D.

20

1 of the 546 residents 6 watch the Sports channel. Find the number of people

44. In a multi-storey building,

39. Five friends went on a picnic. Each of them covered

who do not watch this channel.

30 km 830 m distance in his car. How much distance did all of them travel together?

A.

436

A.

15415000 km

B.

455

B.

154 km 150 m

C.

544

C.

150 km 154 m

D.

380

D.

1504150 km

45. A hostel consumes 22 L 500 mL of milk each day. If 450 mL milk is consumed by each child, find the

40. The train fare from Delhi to Amritsar for 10 persons

number of children in the hostel.

is ` 1850. What is the fare for 25 persons?

A.

` 18500

A.

50

B.

` 462500

B.

70

C.

` 4625

C.

120

D.

` 2500

D.

90

8th IMO - Set B

7

Achievers section 46. In an election, there were three candidates P, Q and R. Candidate P got 68,36,940 votes and candidate Q got 64,47,542 votes. If the total number of votes was 2,63,46,709, how many votes did candidate R get? Who won the election?

A.

26345712, Q

B.

13062227, P

C.

13062227, R

D.

64940368, R

C.

The billions place is 100 times larger than the millions place.

D.

Product of XVII and XXIV added to XXXIII is CDXLI.

49. Vivek rented a bicycle for 3 hours. How much did he pay? First hour :

` 7 1 Every additional hour: ` 3 2

47. Part of a scale is shown below. What is the value of the reading at X?

A.

` 13

B.

` 19

C.

` 22

D.

` 30

A.

10.02 cm

50. Gautam is thinking of a four digit number.

B.

10.04 cm



The fourth digit is thrice the first digit.

C.

10.2 cm



The second digit is the second multiple of 2.

D.

10.4 cm



The third digit is the smallest even number.

48. Which of the following statements is correct?

Find the number.

A.

One lakh and one hundred thousands will give 3 lakhs.

A.

3426

B.

6421

B.

The difference between ten lakhs and one million is 100000.

C. D.

9423 3429


Class 5 9th

Set A Year 2015

logical reasoning logical reasoning 1.

Which of the following options will complete the pattern in Fig. (X)?

?

5.

Which of the following Venn diagrams best represents the relationship amongst “Languages, French, German”?

A.

C.

6.

Select the correct mirror image of Fig. (X), if the mirror is placed along MN.

B.

D.

Fig. (X)

A.

B.

M

C.

2.

In a certain code language, BATCH is coded as ABSDG. How will FORSAKE be coded in that language? EPABDGS EQPZLTD

D.

A. C.

B. D.

3.

Minal was facing the School at first. After she made a turn, she was facing the swimming complex. What was the angle and direction of her turn?

SPOON 12

Fig. (X)

EPQTZLD EPQTZDL

A.

B. SPOON 12

NOOPS 21

Playground Shopping centre

N

Football field

C.

D. SPOON

NOOPS

12

21

Minal Hawker centre

Library School

A. C.

4.

Arrange the given words in descending order according to their values.

1. 3. 5. A. C. 2

Trillion Billion Million 1, 3, 4, 2, 5 1, 4, 3, 2, 5

Mohit correctly remembers that he visited Kerala before twelfth of June but after eighth of June. His sister correctly remembers that Mohit visited Kerala after tenth of June but before fourteenth of June. On which day of June did Mohit visited Kerala?

A. B. C. D.

8.

If in each of the following number the first and second digits are interchanged, then which will be the third highest number?

Swimming complex

Market

90° clockwise 215° clockwise

7.

B. D.

90° anticlockwise 270° anticlockwise

2. 4.

Thousand Hundred

B. D.

4, 2, 5, 3, 1 1, 3, 5, 2, 4

Eleventh Twelfth Tenth Can't be determined

489

A. B. C. D.

541

654

953

783

489 541 654 953 | 9th IMO | Class-5 | Set-A | Level 1

9.

Find the missing number, if same rule is followed in all the three figures. 12

8

13

7

9

6

A. C.

Rohan Sarthak

B. D.

Kartik Gautam

13. Which of the following figure will continue the same series as established by the Problem Figures? Problem Figures

76

A. C.

95

12 18

B. D.

?

29 32

10. How many unit cubes are required to make the given figure?

A. B. C. D.

29 30 26 32

11. There is a certain relationship between the pair of figures on the either side of : : . Identify the relationship and find the missing figure. :

::

A.

B.

C.

D.

? :

A.

B.

C.

D.

14. Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combination of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word. C E L S M U 1 2 3 4 5 6

A. C.

4, 6, 3, 5, 2, 1 5, 2, 3, 1, 6, 4

B. D.

4, 6, 5, 2, 3, 1 5, 6, 4, 1, 3, 2

15. Which of the following is a symmetric figure?

12. Read the information carefully and answer the question.

• Rohan and Kartik are good in Cricket and Volleyball. • Sarthak and Rohan are good in Cricket and Basketball. • G autam and Kartik are good in Volleyball and Cricket.

A.

B.

C.

D.

Who is good in all the three games?

MATHEMATICAL REASONING 16. What is the missing value in the given mathematical statement ? ? . 0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 ×

A. B. C. D.

2 3 6 8

17. 137, 211 written in words as _______.

A.

B.

One hundred, thirty-seven, two hundred and eleven. One hundred and thirty-seven hundred, two hundred and eleven.

9th IMO | Class-5 | Set-A | Level 1 |

C.

D.

One hundred and thirty-seven thousand, two hundred and eleven. One hundred and thirty thousand, seventy hundred and eleven.

18. What is the missing number in the box ?

552847 = 500000 +

A.

2780

B.

278000

C.

27800

D.

2780000

+ 25000 + 40 + 7

3

B A 14 kg

19. If

,

22. The given figure shows a park which has a rectangular playground with an area of 112 m 2 . Find the area of the park that is not occupied by the playground. 20 m

A

10 m

A 12 kg

2m

play ground

and 7m

8m B

C

15 kg

12 m

, then

A. B. C. D.

2m 6m

200 m2 120 m2 244 m2 112 m2

23. Which of the following is the greatest? C

what is the weight of

A. B. C. D.

6 8 9 7

?

kg kg kg kg

A. B. C. D.

XLIII + XLIV LXXIX – XXXIX XCIX – LXVIII LVII + XL

24. How many more unit squares must be shaded in 1 order to have of the figure shaded? 4

20. Which digit should come at place of * to make the number divisible by 2? 4328*

A. B. C. D.

4 6 0 All of these

21. Which of the following figures has atleast 3 lines of symmetry?

A.

B.

C.

D.

4

A.

7

B.

8

C.

18

D.

25

25. Place value and face value of a number is always equal at ____.

A. B. C. D.

One’s place Ten’s place Hundred’s place None of these

26. Which of the following shows the common factors of 12 and 15?

A. B. C. D.

1 1 2 3

and and and and

2 3 3 4 | 9th IMO | Class-5 | Set-A | Level 1

27. Identify the number Z.

31. Which of the following has the least value?

• Add 156 to number Z, it will be 9800. • Subtract 156 from number Z, it will be 9488.

A.

10 tens more than 20 hundreds

B.

10 ones more than 200 tens

A.

9544

C.

10 ones more than 20 tens

B.

9644

D.

10 hundreds more than 2 thousands

C.

9744

D.

9844

32. Two paper clips are placed next to a scale.

28. Study the graph carefully. Number of massage chairs sold

80 60

cm 0

40 20 0

1

2

3

4

5

January February March April Months

May

If the salesman earned ` 150 from the sale of each massage chair, how much did he earn in May?

A.

` 6,000

B.

` 9,000

C.

` 12,000

D.

` 15,000

Find the difference between the lengths of the two paper clips.

A. B. C. D.

2 cm 1.8 cm 1.6 cm 1.2 cm

33. The given clocks show the time when a movie started and ended. How long was the movie?

29. How many figures show right angles made by them?

10

10

1

9 8

7

6

5

4

2

A. B. C. D.

2 2 1 3

10

7

6

5

11 12

1

2

9

3 4

Movie started

2 3

1

9 8

11 12

11 12

8

3 7

6

5

4

Movie ended

hrs 17 mins hrs 20 mins hr 55 mins hrs 22 mins

34. Subtract 89.54 from the sum of 126.46 and 37.98.

A. B. C. D.

2 1 3 0

A. B. C. D.

74.9 164.44 88.48 253.98 ÷

35. If

= 84 and

30. Rohan asked a question to Shruti.

+

+

“Multiply the second multiple of 12 by the third multiple of 8”. Help her in solving the question and finding the correct result.

then what is the value of

A. B. C. D.

A. B. C. D.

48 96 192 576


+

+ –

= 15, ?

3 249 252 255 5

EVERYDAY MATHeMATICS logical 2 of her garden into a vegetable 3 1 garden. She plants tomatoes in of the vegetable 4 garden. What fraction of the garden does she use to grow tomatoes?

36. Mrs. Sen makes

A.

B.

C.

D.

1 6 1 3 1 2 2 3

A. B. C. D.

991009 990109 900999 890109

38. Meera read 215 pages everyday except on Sunday. How many pages does she read in 8 weeks?

A. B. C. D.

10320 14320 11240 12040

39. 12685 books were bought for the primary section of the school library, 15790 books were bought for the middle section and 13698 books for the senior section. What was the total number of books bought?

A. B. C. D.

A.

6

2 kg 8

B.

7

3 kg 4

C.

D.

3 kg 4 5 5 kg 8 4

42. My mother divided 5 metres of ribbon into 8 equal pieces. What is the length of each piece?

37. A tea plucker plucked 412250, 334278 and 243581 tea leaves on three successive days. How many tea leaves he plucked in all during these three days?

3 7 kg potatoes and 1 kg 4 8 onions. What is the total weight of the vegetables?

41. Mrs. Sharma bought 3

53217 42173 41377 40076

A. B. C. D.

0.50 metre 0.625 metre 0.735 metre 0.592 metre

43. My father got 3.7 litres of petrol filled in his car. The price of petrol per litre is ` 21. How much money did my father pay at the petrol pump?

A. B. C. D.

` ` ` `

77.70 67.60 65.50 79.40

44. During July, Vivek went to school for 18 days. It takes him 15 minutes to walk to school and 15 minutes to walk back to home. How many hours did he spend in walking to and from school in that month?

A. B. C. D.

8 hrs 30 mins 10 hrs 15 mins 9 hrs 10 hrs

45. Mr. Sharma drove from Town P to Town Q. He took 2 hours 15 minutes for the journey. The clock shows the time he arrived at Town Q in the evening. When did he set off from Town P?

40. 16 families went on a trip which costs ` 2,16,352. How much did each family pay, if each family pay the same amount of money?

A. B. C. D. 6

` ` ` `

13,522 10,432 27,044 14,562

10

11 12

1

9

3

8

A. B. C. D.

2:32 2:32 3:32 2:23

2

7

6

5

4

a.m. p.m. a.m. p.m. | 9th IMO | Class-5 | Set-A | Level 1

Achievers section logical 46. The airmail rates of two countries are shown below. Weight First 20 kg Every additional 10 kg or part thereof

Australia ` 35.12

` 10.50

` 9.80

Devika sent a parcel weighing 32 kg to India and a parcel weighing 28 kg to Australia by airmail. How much did she pay altogether? A. B. C. D.

` ` ` `

47. The total distance from Karan's house to Neha's house is 3000 m. The distance from Karan's house to a shopping mall is 4 times as far as from Karan's house to Neha's house.

Neha’s house

Shopping Mall

(a) If Karan travels from his house to Neha's house and then travels to the shopping mall with Neha, find the distance travelled by Karan.

(b) Find the distance travelled by Neha from her house to the shopping mall and back to her house. (a) (b) A. 12 km 24 km B. 9 km 18 km C. 9 km 24 km D. 12 km 18 km 48. Match the columns. Column-I Column-II (i) 625 thousands is 8000 (p) 909002 less than thousands.

(ii) Subtract the sum of 23653 and 54345 from 987 thousands.

(q) 18000

(iii) Half of a number is 12000. (r) 633 3 Then of the same number is 4

(i) (i) (i) (i)

→ → → →

(r), (ii) → (q), (iii) → (p) (r), (ii) → (p), (iii) → (q) (p), (ii) → (r), (iii) → (q) (p), (ii) → (q), (iii) → (r)

49. The given bar graph shows the number of people like different types of fruits. Study the graph and answer the question that follows.

97.82 108.32 118.12 120.32

Karan’s house

A. B. C. D.

Number of people

India ` 42.40

400 350 300 250 200 150 100 50 Banana

Orange

Mango

Apple

Grapes

Fruits

If number of people like grapes is double to the number of people like apple, then find the total number of people in the survey.

A. B. C. D.

1450 1500 1400 1350

50. Fill in the blanks. 2 16 × 5.25 × 0 = 3

P

(i)

1 3 3 3 1 (ii) 7 × 8 × 3 = 3 × 7 × 2 4 5 5 2

(iii) 7.20 × 1.20 =

(iv) 12.5 ÷

P

A.

0

B.

1

C.

0

D.

1

S Q

3 8 4 3 8 5 3 8 4 8 3 4

R

Q

× 1.2

= 125 R

S

8

1

8

0

7.2

0.1

7.2

0.1



7

Class 5 9th

Set B Year 2015


Which of the following options will continue the given series ?

6.

14

A. B. C. D.

2.

How many meaningful English words can be formed by using any two letters of the word GOT?

A. B. C. D.

3.

22 24 90 42

Fig. (X) N

Three Two One None of these

3 turn 4 in the anticlockwise direction and makes another 1 turn in the clockwise direction. In which direction 2 is she facing now? Samantha is facing East. She makes a

A. B. C. D.

4.

Find the missing number, if a certain rule is followed row-wise or column-wise.

North South West East

6 3 4 8

18 2 3 27

15 5 ? 9

A. B. C. D.

5.

Count the number of cubes in the given figure.

A. B. C. D. 2

11 6 3 2

33 34 35 None of these

Find the correct mirror image of Fig. (X), if the mirror is placed along MN. M

A.

B.

C.

D.

7.

In a certain code, MAIN is written as IMNA and BORE is written as RBEO. How is DUSK written in that code?

A. B. C. D.

8.

There is a definite relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace the (?) in fig. (iv).

SDKU SUKD UKDS KSUD

? (i)

A.

B.

C.

D.

(ii)

(iii)

(iv)

| 9th IMO | Class-5 | Set-B | Level 1

9.

1 Select the correct match of 3 clockwise rotation of 8 given figures.

Figures

A.

B.

13. In which of the following figures, Fig. (X) is exactly embedded as one of its part ?

Rotation

A.

C.

C.

D.

A. B. C. D.

Ajit Ranjit Bhushan Can't be determined

A.

D.

14. Which of the following figures will complete the pattern in Fig. (X)? A.

?

B.

Fig. (X)

11. Which of the following Venn diagrams best represents the relationship amongst "Parents, Father, Books"?

B.

10. Ajit is fatter than Ranjit who is thinner than Bhushan. Mohan is thinner than Ajit but fatter than Bhushan. Two other men are fatter than Ajit. Who is the thinnest?

Fig. (X)

B. C.

C.

D.

D.

12. Select the odd one out.

15. Nihal celebrates his birthday on the next day of third Friday of August 20XX. The date after his birthday will be ______.

A.

August 20XX

Mon

B.

C.

D.

9th IMO | Class-5 | Set-B | Level 1 |

Tue

Wed

Thu

Fri

Sat

Sun

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

A.

20th August

B.

19th August

C.

26th August

D.

27th August 3

MATHEMATICAL REASONING 16. A square ABCD is made up of 1 small square, 2 small triangles and 3 large triangles. AC and BD are straight lines. What fraction of the square ABCD is shaded?

A. B. C. D.

April May June July

21. What is the missing number in the box?

A. B. C. D.

1/8 1/4 3/8 1/2

200 A. B. C. D.

thousands + 300 hundreds + 210 tens = 710 50210 230210 232100

22. Angle X is equal to _______ right angle(s).

17. Which of the following numbers is largest?

A. B. C. D.

0.201 0.021 0.102 0.012

18. Find the perimeter of the given figure.

A. B. C. D.

X

1 2 3 4

Direction (23-24) : The line graph shows the enrolment of students in a school over a period of six years. 6000

A. B. C. D.

42 45 49 53

cm cm cm cm

Number of students

19. Roman numerals that can be repeated in Roman system are

A. B. C. D.

I, X and C I, V and X V, L and D None of these

3000 2000 1000 2001 2002 2003 2004 2005 2006 Years

23. What was the increase in the number of students between 2001 and 2002 ?

Weight (in kg) 3.6 5.0 6.0 6.7 7.2

In which month did the baby's weight increases the most? 4

4000

0

20. The table below shows a baby's weight on the first day of each month from April to August. Date 1st April 1st May 1st June 1st July 1st August

5000

A. B. C. D.

500 1000 1500 2000

24. What was the total number of students enrolled in six years?

A. B. C. D.

4000 20500 5500 22000 | 9th IMO | Class-5 | Set-B | Level 1

25. Which of the following is incorrect?

A. B. C. D.

A rectangle has 4 right angles. A square has 2 sets of parallel lines. A rectangle has only 1 set of parallel lines. A square has 4 equal sides.

26. Find the shaded area of the figure shown below. 22 cm

A. B. C. D.

100 cm

550 cm2 1100 cm2 1600 cm2 2 2200 cm

A. B. C. D.

28. Find

7.1 5.6 5.8 4.5

A. B. C. D.

.

390.99 436.41 427.20 463.41

29. Which of the following figures has the maximum lines of symmetry? A.

31. Divide 80 ones, 2 tenths and 4 hundredths by 4. The result is the same as _______.

A. B. C. D.

1 10 100 1000

A. B. C. D.

1400 1004 968 1204

34. If clock P is 5 minutes slow and clock Q is 10 minutes fast, then find the correct time of clock P & Q respectively.

A. B. C. D.

12:05, 12:10, 12:20, 12:20,

P 12:20 12:10 12:20 12:25

Q

Ishan is 5 times as old as Sanjit. If A is Sanjit’s age in years, how old is Ishan ?


m

A.

8.24 ÷ 5 100.3 ÷ 5 100.9 ÷ 3 4280 ÷ 4

8c

A. B. C. D.

33. Add the 4th multiple of 52 and the 8th multiple of 37. The value obtained is 700 less than . Find .

D.

30. Which of these could be solved by using the sentence ‘A – 5’?

D.

C.

35. In the given figure, AB is 2 as long as BC and 3 DE = EF = FG.

B.

C.

Tarun is 5 years younger than Anny. If A is Anny’s age in years, how old is Tarun ? Naman is one-fifth as old as Aman. If A is Naman’s age, how old is Aman ? Geet is 5 years older than Suhana. If A is Suhana’s age in years, how old is Geet ?

6 cm

Add 36.21 to the product of 71.2 and 6.

B.

32. 1 billion = ____ crores.

27. I thought of a decimal number. After I had multiplied it by 2, then added 1.5 and then divided the result by 3, I got 3.5. What was the decimal number I thought?

What is the perimeter of BCDE? A. 48 cm B. 50 cm C. 52 cm D. 28 cm 5

EVERYDAY MATHeMATICS 36. A particular brand of toothpaste is used by 279468 men, 196485 women and 69278 children. What is the total number of people who use that toothpaste?

C.

A.

543431

D.

B.

545231

C.

649231

D.

739321

41. The sum of Anjali's height and Aman's height is 3.19 m. Rishi is 0.09 m taller than Aman. If Anjali is 1.54 m tall, what is Rishi's height ?

5 1 37. A vessel had 5 l of milk. A cat drank L from 8 4 vessel. How much milk was left in the vessel?

A.

B.

C.

D.

1 1 L 8 5 3 L 8 5 1 L 8 5 4 L 8

38. How many packets, each with the capacity of 0.7 kg can be formed with 10.5 kg of rice?

A.

12

B.

15

C.

20

D.

22

39. Kirti and Puneet had ` 160 each to spend. Kirti bought her ticket for ` 60.50, a drink for ` 12 and popcorn for ` 15.50. Puneet spent ` 60.50 on his ticket, ` 20.50 on potato chips and ` 6 on a bottle of water. Who has more money left and by how much?

A.

Kirti, ` 1

B.

Puneet, ` 1

C.

Kirti, ` 72

D.

Puneet, ` 73

1 1 40. A man travelled 48 km. He covered 29 km by 3 3 5 scooter, 8 km on bicycle and the remaining distance 6 on foot. How much did he travel on foot ? A.

B.

6

5 km 6 1 8 km 2 9

A. B. C. D.

1 km 4 1 10 km 6 5

1.74 1.65 0.65 0.74

m m m m

42. Megha took 1 hr 20 mins to travel from her house to school. If she reached school at 7:15 a.m., at what time did she leave her house?

A. B. C. D.

5:45 5:55 6:05 8:35

a.m. a.m. a.m. a.m.

3 of its 4 length. If the length of the painting is 80 cm, what is the perimeter of the painting?

43. The breadth of a rectangular painting is

A. B. C. D.

140 190 280 380

cm cm cm cm

44. A bus left Town Y at 21:25 hrs. It travelled for some distance and stopped for a 15 mins break. The bus continued its journey for town Z at 00:05 hrs. (a) How long had the bus travelled before it stopped for the break? (b) If the bus travelled for another 3 hrs 35 mins before reaching Town Z, at what time would the bus reach Town Z ? (a) (b) A. 2 hrs 25 mins 3:40 hrs B. 2 hrs 25 mins 2:40 hrs C. 2 hrs 15 mins 3:35 hrs D. 2 hrs 15 mins 2:35 hrs 45. Beena saves ` 0.55 each day. How much will she save in two weeks?

A. B. C. D.

` ` ` `

3.85 5.50 6.60 7.70 | 9th IMO | Class-5 | Set-B | Level 1

Achievers section 46. Jimmy took 5 hours 20 minutes to travel from Town A to Town B. Tom took 6 hours 55 minutes to travel the same distance. If both of them left Town A at 9 a.m., then

(a) At what time did Tom reach Town B? (b) How much longer did Tom take to reach Town B than Jimmy? (a) (b) A. 3:55 p.m. 1 hr 20 mins B. 3:55 p.m. 1 hr 35 mins C. 2:20 p.m. 1 hr 20 mins D. 2:20 p.m. 1 hr 35 mins 47. Match the columns. Column I Column II (i) 1524 (p) MMMDL (ii) 3678 (q) MDXXIV (iii) 2540 (r) MMMDCLXXVIII (iv) 3550 (s) MMDXL A. (i) → (q), (ii) → (r), (iii) → (s), (iv) → (p) B. (i) → (p), (ii) → (s), (iii) → (r), (iv) → (q) C. (i) → (p), (ii) → (r), (iii) → (q), (iv) → (s) D. (i) → (q), (ii) → (p), (iii) → (s), (iv) → (r) 48. I was sitting in a park with my friend Mohit. We both saw two old people coming to the park with two dogs. Amit and Raj also come to the park with their kids Aman and Megha respectively. Two birds were sitting on the tree. Megha started playing with a cat

who was sleeping under the tree. How many legs were there altogether in the park? A. 30 B. 28 C. 26 D. 32

49. Beena saw the offer given by a shopkeeper. First 6 cupcakes

` 1 each

Additional cupcakes 80 paise each

Beena has ` 20. What is the greatest number of cupcakes she can buy?

A. B. C. D.

17 20 23 None of these

50. Find the value of (P – Q) + (R – S) by completing the given addition box. + 9681 24321

A. B. C. D.

19623 P R

5241 Q S

8764 13482 14382 28764



7

Answer Keys 5th IMO (2011) 1. 11. 21. 31. 41.

(B) (C) (C) (B) (C)

2. 12. 22. 32. 42.

(A) (D) (C) (D) (A)

3. 13. 23. 33. 43.

(B) (D) (B ) (D) (A)

4. 14. 24. 34. 44.

(D) (B) (D) (B) (B)

5. 15. 25. 35. 45.

6. 16. 26. 36. 46.

(B) (C) (A) (C) (D)

(D) (C) (A) (C) (C)

7. 17. 27. 37. 47.

(A) (D) (A) (B) (C)

8. 18. 28. 38. 48.

(C) (B) (A) (C) (B)

9. 19. 29. 39. 49.

(B) (C) (A) (A) (B)

10. 20. 30. 40. 50.

(B) (D) (C) (A) (B)

6th IMO (2012) SET A 1. 11. 21. 31. 41.

(C) (A) (D) (B) (A)

2. 12. 22. 32. 42.

(D) (B) (B) (D) (C)

3. 13. 23. 33. 43.

(C) (B) (B) (C) (B)

4. 14. 24. 34. 44.

(B) (C) (A) (A) (B)

5. 15. 25. 35. 45.

(D) (D) (D) (C) (D)

6. 16. 26. 36. 46.

(B) (C) (D) (B) (B)

7. 17. 27. 37. 47.

(D) (B) (A) (B) (C)

8. 18. 28. 38. 48.

(B) (D) (C) (A) (A)

9. 19. 29. 39. 49.

(D) (A) (D) (A) (C)

10. 20. 30. 40. 50.

(C) (B) (D) (C) (D)

6. 16. 26. 36. 46.

(C) (D) (C) (A) (C)

7. 17. 27. 37. 47.

(A) (A) (A) (C) (D)

8. 18. 28. 38. 48.

(D) (C) (B) (C) (B)

9. 19. 29. 39. 49.

(A) (B) (C) (B) (A)

10. 20. 30. 40. 50.

(B) (B) (C) (B) (D)

SET B 1. 11. 21. 31. 41.

(C) (B) (A) (B) (B)

2. 12. 22. 32. 42.

(B) (C) (C) (A) (C)

3. 13. 23. 33. 43.

(D) (C) (D) (D) (A)

4. 14. 24. 34. 44.

(C) (A) (B) (D) (B)

5. 15. 25. 35. 45.

(B) (B) (C) (B) (B)

7th IMO (2013) SET A 1. 11. 21. 31. 41.

(B) (D) (B) (D) (B)

2. 12. 22. 32. 42.

(A) (B,D) (A) (B) (C)

3. 13. 23. 33. 43.

(A) (C) (B) (B) (D)

4. 14. 24. 34. 44.

(B) (B) (C) (C) (A)

5. 15. 25. 35. 45.

(D) 6. (C) 16. (A) 26. (A) 36. (B) 46. SET B

(D) (D) (A) (B) (B)

7. 17. 27. 37. 47.

(D) (B) (D) (B) (D)

8. 18. 28. 38. 48.

(C) (C) (D) (C) (C)

9. 19. 29. 39. 49.

(B) (C) (B) (D) (A)

10. 20. 30. 40. 50.

(A) (D) (D) (A) (B)

1. 11. 21. 31. 41.

(B) (B) (B) (A) (D)

2. 12. 22. 32. 42.

(C) (B) (C) (C) (A)

3. 13. 23. 33. 43.

(A) (C) (B) (A) (B)

4. 14. 24. 34. 44.

(D) (C) (A) (A) (C)

5. 15. 25. 35. 45.

(B) (A) None (B) (D)

6. 16. 26. 36. 46.

(D) (D) (C) (B) (D)

7. 17. 27. 37. 47.

(A) (D) (D) (B) (B)

8. 18. 28. 38. 48.

(B) (B) (A) (C) (C)

9. 19. 29. 39. 49.

(D) (A) (D) (B) (D)

10. 20. 30. 40. 50.

(A) (B) (B) (C) (D)

8th IMO (2014) SET A 1. 11. 21. 31. 41.

(C) (D) (D) (D) (C)

1. 11. 21. 31. 41.

(B) (A) (A) (A) (D)

2. 12. 22. 32. 42.

(D) (B) (C) (A) (D)

2. 12. 22. 32. 42.

(C) (A) (B) (C) (B)

3. 13. 23. 33. 43.

(A) (A) (B) (B) (B)

3. 13. 23. 33. 43.

(A) (B) (A) (C) (D)

4. 14. 24. 34. 44.

(C) (D) (D) (A) (B)

4. 14. 24. 34. 44.

(B) (D) (C) (B) (B)

5. 15. 25. 35. 45.

(B) (B) (B) (A) (B)

5. 15. 25. 35. 45.

(A) (B) (C) (C) (A)

SET B

6. 16. 26. 36. 46.

(D) (C) (A) (D) (C)

7. 17. 27. 37. 47.

(A) (C) (B) (A) (D)

8. 18. 28. 38. 48.

(B) (D) (D) (C) (C)

9. 19. 29. 39. 49.

(D) (D) (D) (D) (B)

10. 20. 30. 40. 50.

(C) (D) (C) (B) (B)

6. 16. 26. 36. 46.

(D) (C) (A) (B) (C)

7. 17. 27. 37. 47.

(D) (B) (B) (A) (B)

8. 18. 28. 38. 48.

(D) (A) (C) (A) (D)

9. 19. 29. 39. 49.

(B) (C) (D) (B) (B)

10. 20. 30. 40. 50.

(B) (B) (B) (C) (D)

9th IMO (2015) 1. 11. 21. 31. 41.

(A) (C) (B) (C) (D)

2. 12. 22. 32. 42.

(B) (A) (C) (B) (B)

3. 13. 23. 33. 43.

(B) (C) (D) (D) (A)

4. 14. 24. 34. 44.

(D) (D) (A) (A) (C)

5. 15. 25. 35. 45.

1. 11. 21. 31. 41.

(D) (C) (D) (B) (A)

2. 12. 22. 32. 42.

(B) (C) (C) (C) (B)

3. 13. 23. 33. 43.

(A) (C) (C) (D) (C)

4. 14. 24. 34. 44.

(C) (B) (D) (C) (A)

5. 15. 25. 35. 45.

SET A (C) 6. (D) 16. (A) 26. (B) 36. (B) 46. SET B (C) 6. (A) 16. (C) 26. (B) 36. (D) 46.

(A) (C) (B) (A) (B)

7. 17. 27. 37. 47.

(A) (C) (B) (B) (D)

8. 18. 28. 38. 48.

(D) (C) (C) (A) (B)

9. 19. 29. 39. 49.

(B) (D) (D) (B) (C)

10. 20. 30. 40. 50.

(A) (D) (D) (A) (C)

(B) (C) (B) (B) (B)

7. 17. 27. 37. 47.

(A) (A) (D) (D) (A)

8. 18. 28. 38. 48.

(A) (C) (D) (B) (D)

9. 19. 29. 39. 49.

(D) (A) (B) (B) (C)

10. 20. 30. 40. 50.

(B) (A) (B) (D) (D)

Class 5 Imo 5 Years e Book 16

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