306722156-Class-4-Imo-5-Years-e-Book.pdf

1

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CLASS 12

Contents ª

4th IMO 2010

ª

5th IMO 2011

ª

6th IMO 2012 - SET A

ª

6th IMO 2012 - SET B

ª


ª


ª


ª


MTG MT G WORK WORK�BOO �BOOKS KS / OL OLYMPIA YMPIAD D BOOK BOOKS S CLASS 1

International Mathematics Olympiad

National Science Olympiad

International English Olympiad

MTG CSS Series

CLASS 2



National Cyber Olympiad


MTG CSS Series


MTG CSS Series

CLASS 3




MTG MT G WORK� WORK�BOOK BOOKS S / OL OLYMPIA YMPIAD D BOOK BOOKS S CLASS 4





MTG CSS Series


MTG CSS Series


MTG CSS Series

CLASS 5




CLASS 6




MTG MT G WORK� WORK�BOOK BOOKS S / OL OLYMPIA YMPIAD D BOOK BOOKS S CLASS 7



Math IQ Challenge


Science IQ Challenge


MTG CSS Series

Master Mental Ability in 30 Days

CLASS 8





MTG CSS Series

Math IQ Challenge


Psychology of Success

The Secrets of SUCCESS




Math IQ Challenge








CLASS 10


Math IQ Challenge










Math IQ Challenge







CLASS 12


Math IQ Challenge







Class

1 to 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 4

4th

Year 2010

Copyright©2015. Science Olympiad Foundation (SOF)

4th IMO - 2010

SECTION I : LOGICAL REASONING 1.

Which of the following pict ure cubes cubes does the adjoini adjoini ng shape make make? ?

(A)

(B)

(C)

(D)

2.

Which of the foll owin g statements is false false ? (A) A rectangle is a quadrilateral. quadrilateral. (B) A (B) A square is a rectangle. (C) A sphere is a circle. (D) None of these. (D)

3.

When Joe got ready ready for school , he loo ked at at the clock. He also saw the clock's reflection in the mirror. Which picture shows how the clock looked in the mirror ?

(A)

4.

(B)

(C)

(D)

Priya is presently at Log Ride. She walked 5 units south and then 5 units west. Which ride did she walk to? (A) Giant Coaster (A) (B) Little Dipper (B) (C) Sky Train (C)

(D) Ferris Wheel (D) 5.

Tina and Rohit Rohit c oll ect baseball baseball cards. Ea Each ch has the same numb er of cards. If Raju Raju gives Tina Tina and Rohit 5 more baseball baseball c ards each, each, who wi ll h ave the greater numb er of baseball cards, Tina or Rohit? (A) Tina (A) (B) Rohit (B) (C) Both Tina Tina and Rohit will have the same number of baseball baseball cards. (D) There is not enough information to answer answer the question. 2


4th IMO - 2010

6.

Which pair pair of numb ers best comp letes the equation? × 100 =

7.

(A)

(B)

(C)

(D)

Look at the given series : 7, 10, 8, 11, 9, 12, .... What number should come next ? (A) 7 (B) 10

8.

(C) 12

(D) 13

Tanya is older than Samrat. Mohit is older than Tanya. Samrat is older than Mohit. If the first two statements are true, the third statement is ____ _______. ___. (A) True (A)

(B) False (B)

(C) Uncertain (C)

(D) None of these

9. A man wal ks 5 km t ow oward ards s so ut h and t hen t ur ns to th e ri gh t . Af ter wal ki ng 3 km he turns to the left and walks 5 km. In which direction is he from the starting point ? (A) West (A)

(B) South (B)

(C) North-east (C)

(D) South-west

10. Two positions of dice are shown below. How many points will appear opposite to the face containing 5 points? (A) 3 (C) 2

(B) 1 (D) 4

11. In the given figure, triangle represents 'girls', rectangle represents 'players' and circle represents 'coach'. Which part of the diagram represents girls who are players but not coach? (A) P (B) Q

(C) R

(D) S

12. A Arr r an ang g e t h e wo r d s g i v en b el elo o w i n a m ean i n g f u l s eq equ u en enc c e. 1.

Leaf

2. Fru it

(A) 3, 4, 5, 5, 1, 2

3.

Stem

4. Root

(B) 4, 3, 1, 5, 2 (B)

5.

Flow er

(C) 4, (C) 4, 1, 3, 5, 2

13. Which number replaces the question mark? (A) 9 (B) 8 (C) 7 (D) 6

3


(D) 4, 3, 1, 2, 5 (D)

4th IMO - 2010

14. Which symbol replaces the question mark?

(A)

(B)

(C)

(D) None of these (D)

15. Which number will replace the question mark ? (A) 1 (B) 4 (C) 3 (D) 6 16. What rule is used for the In-Out machine? (A) Double the number (A) (B) Add 10 (B) (C) Add 15 (C) (D) Subtract 10 (D) 17. Look at Mohit's time table.

Which of the following events happens after Mohit eats lunch? (A) Mohit volunteers at library (A) (B) Mohit (B) Mohit coaches basketball practice (C) Mohit drops off kids at school (D) None of these 18. Select a figure from four options which when placed in the blank space of Fig. (X (X)) woul d complete the pattern. pattern. (A)

(B)

(C)

(D)

19. Kirti puts the tiles shown below into an empty bag and mixes them up.

What fraction of letters are vowels ? (A) 4/10 (A) (B) 4/9

(C) 5/9 5/9 4


(D) 2/9

4th IMO - 2010

20. The picture shows all the candy that will be placed in a machine. Each time the handle on the machine is pulled, 1 candy comes out. Alisha will pull the handle on the machine. Which colour of candy candy is least least likely to come out? (A) Green (A) (B) Blue (B) (C) Pink (C) (D) Yellow (D)

SECTION II : MA MATHEMA THEMATICAL TICAL REASONING 21. Which of the following represent the same values ? (A)

(B)

(C)

(D)

22. Which of the following figures shows only line segment PQ ? (A)

(B)

(C)

(D)

23. What number should go in the box to make the statement true?

(A) 8

(B) 6

(C) 4

24. Which of the following is a prime number? (A) 21 (B) 33 (C) 49

(D) 2

(D) 53

25. What number should go in the blank to make the given number sentence true? (A) 4 26.. If 26

(B) 5 stand for 3,

100 = 4 × ___ × 5 (C) 25 stand for 7,

(D) 100 stand for 20 20,,

stands

for 100, then st and for ___ ______ ___.. (A) 400

(B) 459 (B)

(C) 449 (C)

(D) 440

27. What fraction of the given figure is unshaded? (A)

6 10

(B)

3 10

(C)

5 10

5


(D)

4 10

4th IMO - 2010

28. The class is making cards to give to their friends. They must use congruent (same size and shape) triangles. Look at Jamal's triangle. Jamal needs another triangle that is congruent to put on his card. Which triangle should he choose?

(A)

(B)

(C)

(D)

29. A number has 24 ones, 3 hundreds and 15 tens. What is the number? (A) 384 (A) (B) 474 (B) (C) 24,315 (C) (D) 31,524 30.

equal s ____ _____ _ (A) 1/12 1/12

(B) 1/6 1/6

(C) 1/8 1/8

(D) 1/9

31. Tammy has 5 boxes of markers. There are 8 markers in each box. Which of the options shows the way to find the total number of markers that Tammy has ? (A) 5 + 8 = (A) and 8 + 5 = (B) 5 + 8 = (B) and 8 – 5 = (C) 8 × 5 = (C) 32. If

+

and 8 ÷ 5 = +

(A) 1000 (A)

+

(D) 8 × 5 = (D) = 1240, t hen 1000 –

(B) 690 (B)

and 5 × 8 = =

(C) 380 (C)

,

– (D) 310

33. Anjali read the given pages each month. In which month did Anjali read most pages? (A) January (A) (B) February (B) (C) March (C) (D) April (D) 34. Which sign goes in the box? (A) < (C) =

(B) > (D) None of these (D)

35. Look at the problem given here. = If = 7, what is (A) 3

? (B) 7

+ 4 (C) 11

36. QRST is a rectangle. UVWX is a square. Find UT. (A) 5 cm (B) 6 cm (B) (C) 7 cm (C) (D) 8 cm (D) 6


(D) 14

= ?

4th IMO - 2010

37. Which is true ? (A) 9 ÷ 18 = 18 ÷ 9

(B) 9 + 18 = 18 – 9

(C) 18 (C) 18 + 9 = 18 × 9

(D) 9 (D) 9 + 18 = 18 + 9

38. Which of the following will be a true statement if an equal sign (=) is placed in the box ? (A) 1 day (C) 2 hrs

24 mins 1 day

(B) 1 hr 60 mins (D) 3600 sec 10 mins

39. The points on this number line represent a pattern. Which of followin g number lines continues this pattern pattern of points in the same wa way y ? (A)

(B)

(C)

(D)

40. Tania bought these items at a sale. She went went t o the sale with a

` 500

note. How much money

is left with her now? (A)

` 340

(B)

` 260

(C)

` 240

(D)

`

160

SECTION SECTI ON III : EVERYDA EVERYDAY Y MATHEMATICS 41. Sania used the things listed below to make a pizza. 1/4 1/ 4 cup pepper jack; 1/4 1/ 4 cup tomato es; 3/4 3/ 4 cup onio ns. What was the total amount of items Sania used to make the pizza? (A)

5 cup 12

1 (B) 1 cup 4

3 (C) 1 cup 4

5 (D) 1 cup 8

42. Amisha and her friends decided to have a water fight on a hot summer day. They fi lled a bunch of w ater balloon s and st arted th e figh t at 3:45 P.M P.M.. The water water ballo ons lasted for 40 minutes. When all the water balloons were gone, they sprayed water with hoses for 45 minutes more, until Amisha's dad showed up with ice cream. What time was it when the water fight ended? (A) 5:10 P.M. (A) (B) 4:25 P.M. (B) (C) 6:10 P.M. (D) 5:20 P.M. arns ` 5 an hour and works for 2 weeks everyday 43. Arun works 9 hours a day. If he e earns in the week, how much does Arun earn? (A) ` 630 (B) ` 730 730 (C)

`

490

(D)

`

940

44. Danny filled a measuring cup with 2/3 cup of vegetable oil. Then he poured 1/3 cup of the oil from the measuring cup into a frying pan. How much oil is left in the measuring cup? (A) 1/3 (B) 1/2 (B) (C) 1/4 (C) (D) 2/3 45. Which of the following is equivalent to 180 minutes? (A) 1 hour (B) 3 hours hours (C) 4 hours hours 7


(D) 6 hours

4th IMO - 2010

46. Valley Transport has been hired to deliver new seats to the Sports Stadium. The company will use 41 trucks to move the seats. If each truck holds 1025 seats, how many seats will be delivered to the stadium? (A) 41, 825 825 (B) 41,925 (C) 42, 025 47. A year has 365 days da ys ? (A) 2190 2190

(D) 42, 125

1 1 days. One day has 24 hours. How many hours are there in 365 2 2 (B) 7440

(C) 8760 8760

(D) 8772

48. Uday had 56 trading cards. He gave some of the cards to Jerry. Then Uday had 23 trading cards left. What was the total number of trading cards Uday gave to Jerry? (A) 23 23

(B) 33

(C) 39 39

(D) 79

49. Tamanna bought 4 rolls of film. Each roll could make 27 pictures. What was the total number of pictures that she could make with the 4 rolls she bought? (A) 35 35 (B) 828 (C)) 108 (C 108 (D) 21 211 1 50. There are 5778 blue pens and 7253 black pens in the supply warehouse. How many pens are there in all? (A) 11011 (B) 13031 (C) 12021 11011 12021 (D) 15051 SPACE FOR ROUGH WORK

8


Class 4

5th

Year 2011


2

5th IMO - 2011


, (A) 72

2.

3.

×

2 = 18. Find th e valu e of (B) 81

.

(C) 9

(D) 48

Four bus es P , Q , R a n d S a r r i v e d a t a b u s terminal at four d ifferent timing s. The given chart shows the arrival times of buses P, Q, R and S respectively. Which bus was the rst to arrive at the bus terminal ? (A) P (B) Q (C) R (D) S

Bus

A r r i v al t i m e

P Q R S

Q u a r t e r p as t 5 5 10 m i n u t e s t o 5 Q u ar t er t o 5

The numb ers giv en below fol low a pattern. 39, 55, 71, 87, 103, ? If the patte pattern rn continues in the same way, way, which number number should come next ? (A) (A) 117 (B) (B) 119 (C) (C) 127 (D) 130

4.

The giv en chart shows the numb er of markers on the desk of some students. Which two students have number of marke markers rs that could be shared equally among three students? (A) (A) Harsh and Mohit (B) (B) Mohit and Tanuj (C) (C) Sanjay and Mohit (D) (D) Sanjay and Tanuj

5.

Markers on Desks St ud u d en en t Nu mb mb er er of o f Ma Mar ke k er s Sa n j ay 12 Ha r s h 19 Mo h i t 13 Tan u j 9

A number line is shown below.

What is the missing number? What (A) (A) 580 (B) (B) 640

(C) (C) 720

(D) 760

SPACE FOR ROUGH WORK


5th IMO - 2011

3

5th IMO - 2011 6.

3

Bittoo is usi ng three cards shown below below to make a three three-digit -digit number. number. Which Which list shows all the possible three-digit numbers Bittoo can make using each card if repetition of cards is not allowed ? (A) (A) 367, 673, 736 (B) 367, 376, 673, 736 673, 736, 763 (C) 367, 376, 637, 673, 673, 736, 763, 777, 333, 333, 666 (D) 367, 376, 637, 673,

7.

7 3 6

Given map is showing the dist ances between Rehaan's house, his school and shopping mall. Which of the following statements is CORRECT ? house and his (A) The distance between Rehaan’s house school is 1600 m. house and his (B) The distance between Rehaan’s house school is greater than the distance between his school and the shopping mall. (C) (C) The distance between the shopping mall and Rehaan’s house is 3535 m. (D) The distance between the shopping mall and Rehaan’s house is shorter than the distance between his school and the shopping mall.

8.

How many many people in the pict ure are are wit hout spectacles? (A) 14 (B) 15 (C) 16 (D) 17 SPACE FOR ROUGH WORK


4

5th IMO - 2011

4 9.

5th IMO - 2011 Shapes

Preeti Pree ti is selecting a bead bead for a necklace. He Herr

Colours Gold

choices of shape shapes s and colours of bea bead d are shown

Star

here. Which tree diagram shows all the possible

Silver Purple

combinations of 1 shape and 1 colour?

eart

Orange White

(A )

(B )

(C)

(D)

one o t ese

10. Every class that visits Life Science Museum is divided into groups of 4 students for each tour guide. Which of the following classes would not be able to form groups of 4 students with none left over? c ass o stu ents (A) (B) c ass o stu ents (C) (D)

SECTION II :

c ass o c ass o

stu ents stu ents

MATHEMA MATH EMATICAL TICAL REASONING

11. It is now 11:30 a.m. Where will the hour hand be pointing 1 hour later ? (A) Between 11 and 12 (B) Between 12 and 1 (C At 12 (D) At 1 12. Which pair of lines resembles a railway track? (A )

(B )

13.. Ea 13 Each ch (A) (C)

(C

(D)

stands for 10 g. Find the mass of thr ee g g

(B) (D)

ot

an

. g g



5th IMO - 2011

5

5th IMO - 2011

5

14. The given list shows the number of cars of each colour in a parking lot. •

There are are 18 red cars.

•

There are 16 blue cars.

•

There are 6 white cars.

•

There are 10 green cars.

Which key correctly completes the pictograph? (A) Each

means 5 cars.

(B) Each

means 4 cars.

(C) Each

means 2 cars.

(D) Each

means 3 cars.

15. Veena wanted to take the bus at 5:10 p.m. She arrived at the bus stop 25 minutes before 5 : 10 p.m. W What hat time did Veena Veena arrive at at the bus stop? (A) (A) 5:35 p.m. (B) (B) 4:45 p.m. (C) (C) 4:40 p.m. (D) (D) 4:25 p.m. 16. The models given below are shaded to show 3 fractions.

7/8

7/10

7/9

Which list shows these fractions in order from the grea greatest test to the lea least? st? (A)

7 10

>

7 9

>

7 8

(B)

7 9

>

7 8

>

7 10

(C)

7 8

>

7 9

>

7 10

(D)

7 10

>

7 8

>

7 9

17. Which of the following gures correctly shows a line of symmetry? (A)

(B)

(C)

(D)



6

5th IMO - 2011

6

5th IMO - 2011

18. The given table shows the number of buttons that were made at a butt on factor y ea each ch week for thr ee weeks. wee ks. Which Which of the followin g shows c orrect order of the week with the greatest number of buttons made to the week week wit h the least number of b uttons made? (A) Week 1, Week 3, Week 2 (C) Week 2, Week 1, Week 3

Buttons Made Week Nu m b er of o f Bu Bu t t o ns Week 1 84 , 5 03 Week 2 80 , 9 68 Week 3 84 , 5 51

(B) Week 2, Week 3, Week 1 (D) Week 3, Week 1, Week 2

19. I am thinking of a number. If I add 85 to the number and then subtract 150 from the result, the answer is 130. What is the number I am thinking of ? (A) 20 (B) (B) 105 (C) (C) 195 (D) 365 20. What is the place value of 7 in the number given below ? 32,074 (A) (A) 7 ones (B) (B) 7 tens (C) (C) 7 hundreds

(D) (D) 7 thousands

21. Which number is a common factor of 42 and 70? (A) 7 (B) 10 (C) 21

(D) 8

22. Mohit placed points that represent the vertices of a gure on the grid. Which gure can be made by conn ecting th ese vertic es alph alph abe abetic tic ally, starti ng and ending with point (A) (A) Pentagon (B) (B) Hexagon (C) (C) Triangle (D) (D) Square

P?

23. Anjali put 50 pickles on 10 sandwiches. She put the same number of pickles on each sandwich. Which of the following number sentences can be used to nd how many pickles Anjali put on each sandwich? (A) 50 – 10 =

(B) 50 × 10 =

(C) (C) 50 + 10 =

(D) 50

÷

10 =



5th IMO - 2011

7

5th IMO - 2011

7

24. Jamal's clues about his mystery number are shown in the box. What is Jamal's mystery number? •

(A) (A) 58,260

•

(B) (B) 62,850

•

•

(C) (C) 68,052

•

My number has 5 tens 8 thousands 2 ones 6 ten thousands 0 hundreds

(D) (D) 86,520 25. Look at the numbers shown below. Subtract 2 from the 3 rd number from the left. The answer is the same as the ______ number from the right. (A) 1st (B) 2nd (C) 3rd (D) 4th

SECTION III :

EVERYDAY EVERYDA Y MATHEMATICS

26. Nihal rode his bike on two days. He rode a total of 12 kilometres in two days. On 7

the rst day, Nihal rode the second day ? (A)

19

1 2

kilometres

(B)

5

1 2

1 2

kilometres. How many kilometres did Nihal ride on

kilometres

(C)

4

1

kilometres

2

(D)

3

1

kilometres

2

27. Tanmay ordered 18 boxes of shirts for his store. Each box had 12 shirts. What was the total number of shirts in these boxes? (A) 54

(B) (B) 216

(C) (C) 378

(D) 30

28. There are a total of 516 trees in 6 parks. There are an equal number of trees in each park. Exactly how many trees are there in each park? (A) 96

(B) 86

(C) 81

(D) 68



8

5th IMO - 2011

8

5th IMO - 2011

29.. The stud ents at a scho ol col lected cans of food. The fou rth -grade stud ents coll ected 29 564 cans. The fth-grade students collected 2 times of fourth-grade students. What was the total number of cans collected by these students? What (A) (A) 1,692 (B) (B) 1,293 (C) (C) 175 (D) (D) 1,801 30. Mrs. Gupta is buying pencils for the students in her class. There are 23 students in the class. Each students will receive 2 pencils. Pencils are sold in a packet of 6. What is the least numb er of packets Mrs. Gupta needs to buy? (A) 4 (B) 7 (C) 8 (D) 9 31. Samrat spent

`

8,762 to paint his house. He also spent

`

987 to repair the roof.

What was the total amount Samrat spent to paint his house and repair the roof? (A) ` 7,775 (B) ` 9,749 (C) ` 9,750 (D) ` 18,632 32. All the students in Mr. Kapoor’s class are working in groups. There are 6 groups of 4 students and 1 group of 3 students. What is the total number of students in Mr. Kapoor’s class? (A) 18 (B) 24

(C) 26

33. At a local fair in Delhi, Katrina had games,

` 45

on large popcorn and

left with Katrina ? (A) ` 300

(B)

` 150

`

`

(D) 27

500 to spend. She spent

`

140 on video

15 on small lemonade. How much money is (C)

` 200

(D)

`

130

34. There are 48 scouts in a training camp. Initially 6 scouts were sharing a tent. How many more tents are needed if 4 scouts are to share a tent ? (A) 2 (B) 4 (C) 6 (D) 12 35. There are 140 tricycles and 276 bicycles in a park. How many wheels are there in all ? (A) (A) 416

(B) (B) 832

(C) (C) 972 SPACE FOR ROUGH WORK


(D) (D) 1248

Class 4 6th

SET A Year 2012


2

6th IMO - SET A


Which of the given rectangle has has the largest

P

perimeter? (A) P

Q

(B) Q

R S

(C) R (D) S 2.

0

(B)

(A) (A) 13400, 14400

4

5

(C)

(D)

10200

P

(B) (B) 12600, 14800

13000

Q

15800

(C) (C) 10600, 15000

(D) (D) 11600, 14400

(C)

(D)

Which house has the largest value value ?

(A)

5.

3

Find the values of P and Q respectiv ely ely.. 8800

4.

2

Which one of the follow ing has NO line of symmetry symmetry ? (A)

3.

1

5 thousands

(B)

7 thousands

7 hundreds

72 tens

25 ones

115 ones

50 tens 99 ones

12 fri ends met at a party. Ea Each ch fri end shook hands with each other exactly once. Number of handshakes took place is _____. (A) 66

(B) 50

(C) 45

(D) 40



th

-

3

th

6.

3

-

Riya is 17th from the front in a queue. She is 19th from the end. Then how many students are there in the queue? (A )

7.

(B )

(C

(D)

Removing Re moving which of the follow ing square square will result no change in the perimeter of the given gure?

8.

(A)

(B)

(C)

(D)

If there are 6 cells around one cell, 8 cells around two cells in a row, then then number of cells around a row of th ree 1

cells is _____.

9.

(A)

(B)

(C)

(D)

2

Rohan Roha n wants to move just one matchsti matchsti ck to make the equation equation correct. Which Which part will he take out ? (A) Q (B) (C) (D)

P

Q

R

S

10. Find the missing number in Fig. (X). (A)

40 5

(B) (C)

64 8 8 4 32

?

56

Fig. (X)

(D) SPACE FOR ROUGH WORK


4

6th IMO - SET A

SECTION II : MATHEMATICAL REASONING

4

6th IMO - SET A

SECTION II : MATHEMATICAL REASONING 11. Which of the following is equivalent to "ve lakhs one hundred and nine"? 501009

50109

(A)

500109

(B)

510090

(C)

(D)

12. The given bar graph shows the height of ve chil dren. What What is the diff erence betwee between n the height of the tallest child and the shortest child ? (A) (A) 45 cm (B) (B) 30 cm (C) (C) 60 cm (D) (D) 105 cm 13.. The perimeter of the star equals t he perimeter of t he hexagon (all 13 (all s ides are equal). equal). If each side of the hexagon is 20 cm long, then each side of the star is ____. (A) 12 cm (B) (B) 10 cm (C) 8 cm (D) 9 cm 14. If

+

(A) 15

+

= 120 and (B) (B) 110

×

= 100, th en

–

(C) 45

=

?

(D) 65

15. Which of the following shows all the factors of 30? (A) 1, 2, 3, 5, 6, 10, 15, 30 (B) 2, 3, 5, 6, 15, 30 (C) 1, 2, 3, 5, 6 (D) 1, 2, 5, 6, 15, 30, 30, 60 SPACE FOR ROUGH WORK


6th IMO - SET A

5

5

6th IMO - SET A 16. Find the value of Y to make the expression true. 8000 = 50 (A) 2

(B) 10

×

80

Y

×

(C) 20

(D) 100

17. Arr ange the boxes in order, beginnin g from the heaviest to lightest. (A) P, Q, R, S (B) (B) Q, R, S, P (C) (C) R, P, S, Q (D) (D) S, Q, R, P 18.. How much does the 18

cost ?

+

(A) ` 100 (B) ` 320 (C) ` 200 (D) ` 240

+

+

= ` 720

+

= ` 960

19. Which fraction of the given gure is unshaded? (A)

2 3 1

(C)

4

(B) (D)

3 4 1 3

20.. Where will the minute hand point afte 20 afterr 1 hour 45 minutes fr om th e time shown o n the (A) (B) (C) (D)

clock ? 9 1 6 12

11

12

1 2

10

3

9

4

8 7

6

5



6

6th IMO - SET A

6

6th IMO - SET A

21. Roman numeral equivalent to 89 is ______. (A) (A) LXIL (B) (B) IXC (C) (C) XIC

(D) (D) LXXXIX

22. What is the weight of each box? (A) 40 g (B) (B) 60 g (C) (C) 240 g (D) 90 g 23. In which of the following dotted lines shows a line of symmetry? R P

S

Q

(A) P

(B) Q

(C) R

(D) S

24. The product X = 2 × 2 × 3 × 5 × 7 × 7 × 11 × 13 × 17 × 19 is NOT divisible by a number. Which is the number? (A) (A) 220 (B) 51 25. Find the value of

(C) 65

(D) 54

X.

(A) 0 (B) 3 (C) 5 (D) 4

SECTION III : EVERYDAY MATHEMATICS 26.. J enny and Henry 26 Henry sold t ogether 90 choc olates duri ng a sales sales prom oti on. Henry Henry so ld twice as many chocolates than Jenny. How many chocolates did Jenny sell? (A) 30 (B) 60 (C) 46 (D) 23 SPACE FOR ROUGH WORK


6th IMO - SET A

7

7

6th IMO - SET A

27. The capacity of a small container is 380 mL and the capacity of a big container is 1250 mL. If Aakash uses 8 small containers and 1 big container of water to ll up an empty tank, then what is the capacity of the tank? (A) 3750 mL (B) (B) 4290 mL (C) (C) 3040 mL (D) (D) 4190 mL 28. Priya is practicing for a race. She uses the

2 km

given map to nd the possible routes. The

Home

Club

route must start from her home and and end at

m m k k 2 2

the park. She wants to run exactly 7 km.

1 k m 1 km

Which of the following is the best route? (A) Home - Bank Bank - Museum - Park (B) Home - Museum Museum - Park (C) Home - Club - School School - Lake - Park (D) Home - Bank - School School - Lake - Park

3 k m

m k 2

2 km Bank 2 k m k m

1 km

School

1 k m

Museum

1

Lake 2 km

Park

29. The length of a square eld is 480 m. Vishal runs 5 rounds around the eld. Find the total distance ran by Vishal. (A) 2400 m (B) (B) 960 m

(C) (C) 9600 m

(D) (D) 4800 m

30. Looking at the adjoining gure, how many

Garima

ancestor ance stor s did Garima had four generations generations ago? (A) 64 (B) 16 (C) 32

Father

Grand father

Mother

Grand mother

Grand father

Grand mother

(D) 20 31. Arshan packed 726 burgers into packets of 3. He sold them at much did he get in all? (A) ` 7542 (B)

`

484

(C)

`

242

` 2

(D)

per packet. How `

712



8

6th IMO - SET A

8

6th IMO - SET A

32.. There are 200 32 200 people in a hall. They are divi ded equally in to 7 gro ups o f adult s and 3 groups of children. If there are 2 adults in each group, then how many children are there in each group ? (A) 30 (B) 60

(C) 70

(D) 62

33. Three friends, Payal, Latika and Megha are at the corners of a rectangular eld. Att w h i c h p o i n t s h o u l d t h ey m eet s o t h at t h e d i s t an c es t h ey w al k t o t h at p o i n t i s A minimized?

Payal E

4 km

P

m k 3

Q

R D (A) Q

F Meg h a

L at i k a

(B) P

(C) D

(D) R

34. Prerna bought 80 peaches. She found out that out of every 10 peaches, 2 are rotten and had to be thrown away. How many peaches in the end are left with her ? (A) 70

(B) 56

(C) 60

(D) 64

35. In a grazing eld there are 60 goats, 30 deers and 10 children. How many legs are there in the eld ? (A) (A) 200

(B) (B) 360

(C) (C) 380 SPACE FOR ROUGH WORK


(D) 400

Class 4 6th

SET B Year 2012


2

6th IMO - SET B


Which of the followi ng parts parts must be shade shaded d so that line PQ becomes the line of symmetry? (A) I (A) I and II (B) I (B) I and III (C) I (C) I and IV (D) (D) II and III

2.

Which of the answer gure gure is the mirror image of g. (X), if the mirror is placed along PQ?

(A)

3.

(B)

(C)

(D)

Study the adjoini ng diagram to answer answer the question given below. Grape tree is south-east of _______. (A) Mango (A) Mango tree (B) Peach (B) Peach tree (C) Apple (C) Apple tree (D) (D) Banana tree SPACE FOR ROUGH WORK


6th IMO - SET B

3

3

6th IMO - SET B 4.

Look the alphabet series below : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Which of the follow ing is 9th to the left of 3rd alphabet from right end? (A) P (B) O (C) N (D) M

5.

Find the next gure gure in the gure gure pattern pattern below. below.

(A)

6.

(B)

(C)

(D)

Complete the pattern in the Fig. (X) by selecting a gure from the four options.

7.

(A)

(B)

(C)

(D)

Which of the followi ng parts parts is NOT NOT embedded in the Fig. (X)?

(A) 8.

(B)

(C)

(D)

If in a month of 30 days, third Tuesday Tuesday falls on 17th , what will be the last day of the month? (A) 5th Tuesday

(B) 4th Sunday

(C) 5th Monday

(D) 4th Wednesday



4

6th IMO - SET B

4 9.

6th IMO - SET B How many possib le comb inatio ns of one day and one mont h are are there wit h 5 days and 5 months? (A) 20

(B) 25

(C) 10

(D) 22

10. Find the value of 15 × 50 × 80 × 40 × 20 × 10 × 10 × 100 × 0 × 100 × 20 × 100. (A) (A) 15800

(B) (B) 15000

(C) (C) 168000

(D) (D) 0000

SECTION II : MATHEMATICAL REASONING 11. I am a four digit number. Sum of my digits is 28. My thousand's digits is twice of my ten's digit. Who am I? (A) (A) 8947

(B) (B) 6835

(C) (C) 4687

(D) (D) 3869

12. The ______ value of a digit is the digit itself, whereas the ______ value of a digit is determined by the place it occupies in the numeral. (A) (A) Face, Face

(B) (B) Place, Face

(C) (C) Face, Place

(D) (D) Place, Place

13. Find the value of expression P + Q ÷ R × S, where P, Q, R, S are to be found from given division problem. (A) 10 (B) 8 (C) 6 (D) 4 14. Which of the following gures has fraction of shaded part more than fraction of unshaded part of the g. (X)? (A)

(B)

(C)

(D)



6th IMO - SET B

5

5

6th IMO - SET B 15. If

+

+

+

Find th e valu e of (A) (A) 4560

+

= 2780 and

+ + (B) (B) 4650

+

+

+

+

= 1960.

+ = ? (C) (C) 4950

(D) 410

16. Find the value of X, if the perimeter of the gure below (not drawn to scale) is 50 cm.

(A) (A) 10 cm

(B) (B) 5 cm

(C) (C) 15 cm

(D) 6 cm

17. The number bond below shows the common factors of 36 and 54. Find the sum of P, Q and R.

(A) 16

(B) 15

(C) 20

(D) 18

18. Which of the following statements is CORRECT? (A) There (A) There are seven basic symbols of the Roman numerals. (B) A (B) A symbol of greater value is written to the right of a symbol of smaller value, the smaller value is added to the larger value. (C) A (C) A symbol of smaller value is written to the right of a symbol of greater value, the smaller value is subtracted from the larger value. (D) V is never written on the right of X. SPACE FOR ROUGH WORK


6

6th IMO - SET B

6

6th IMO - SET B

19. Study the given bar graph carefully and answer the question that follows. Find the difference in the highest and the lowest score. (A) 80 (B) 64 (C) 32 (D) 72 20. Add 936 to the product of 343 and 76. Round off the answer to the nearest ten. (A) (A) 27004 (B) (B) 27010 (C) (C) 28004 (D) (D) 27000 21. T h e d i f f e r e n c e b e t w e en en e i g h t t h o u s a n d s s i x h u n d r e d s f i v e o n e s a n d six thousands seventy seven ones is _______. (A) (A) 1880

(B) (B) 2880

(C) (C) 2528

(D) (D) 1528

22. The sixth mult ipl e of a num ber is the quo tient of 378 and and 9. What is t he number? (A) 9

(B) 6

(C) 8

(D) 7

23. Four small squares of side 5 cm are cut from each of the corners of a big square with side 20 cm. The perimeter of remaining gure is _______. (A) (A) 80 m

(B) 8 m

(C) (C) 80 cm

(D) 8 cm

24. Which sign belongs in the empty box? 29 × 0 (A) < (C) >

7 × 10 × 0 (B) = (D) (D) Can't be determined



6th IMO - SET B

7

7

6th IMO - SET B

25. The gure shows the weight of different groups of objects. What is the total weight of a ball, a teddy, and a gift box?

(A) (A) 137 kg

(B) (B) 147 kg

(C) (C) 150 kg

(D) (D) 117 kg

SECTION III : EVERYDAY MATHEMATICS 26. At a grocery store, there were 350 cereal boxes on shelves. shelves. There were 10 different brands of cereals, and there were an equal number of boxes of each brand. What is the way of determining the number of cereal boxes of each brand on these shelves ? (A) (A) Subtract 10 from 350 (B) Add (B) Add 10 and 350 (C) (C) Multiply 350 by 10 (D) Divide (D) Divide 350 by 10 27. Neha's room has two chairs of 4 legs each, one table of 4 legs each and three stools of 3 legs each. How many legs are there altogether of the furniture in her room ? (A) 20

(B) 21

(C) 16

(D) 13

28. Javed has 21 comics. He got two more from his aunt, 12 more on his birthday and bought 3 more with his pocket money. How many comics does he have now? (A) 38 (B) 40 (C) 36 (D) 28 29. Mohit went for a walk and returned home at 7:00 a.m. If it took him 1 hour and 30 minutes, at what time did he start to walk ? (A) (A) 8:30 a.m.

(B) (B) 4:30 a.m.

(C) (C) 5:30 a.m.

(D) (D) 6:30 a.m.



8

6th IMO - SET B

8

6th IMO - SET B

30. Suman uses 15 tomatoes to make half a litre of tomato sauce. How much sauce can she make from 45 tomatoes? (A) One and a half litres

(B) (B) Two litres

(C) Three litres

(D) Two (D) Two and a half litres

31. There are 54 marbles and they are put into 6 bags, so that the number of marbles in each bag is same. How many marbles would 2 bags contain? (A) (A) 9 marbles 32. 1 kg of potato cost

(B) (B) 108 marbles ` 25.

(C) (C) 18 marbles

(D) (D) 12 marbles

If 3 kg of potatoes cost as much as 5 kg of carrots, how

much will it cost to buy 12 kg each of potatoes and carrots? (A) ` 400 (B) ` 180 (C) ` 480 (D)

` 300

33. Garima and Latika had an equal number of marbles. Garima gave 35 marbles to Latika. How many fewer marbles did Garima have than Latika now? (A) 35 (B) 76 (C) (C) 105 (D) 70 34. Ms. Megha needs 96 eggs for cake. In shop A, the cost of a carton of 12 eggs is ` 18

while in shop B, cost of 12 eggs is

the eggs and how much will she save? (A) (A) Shop A and ` 18 (B) (B) Shop B and ` 24 35. A toy soldier costs ` 1290,

(A)

`

` 28

` 15.

From which shop should she buy

(C) (C) Shop B and

`

26 (D) (D) Shop A and

(B)

15

more than a toy policeman. If the cost of the two toys is

how much does the toy policeman cost?

539

`

`

659

(C)

`

631



(D)

`

531

Class 4 7th

SET A Year 2013


7th IMO - Set A

2

LOGICAL REASONING

1.

Which word word CANNOT be made from the letters of the given word? EXPERIMENTAL A.

2.

B. RELAX

ACE

B. DFH

A.

C. IKM

D. NPS

9000

10000

B. 9100

10100

?

C. 10000

9200

D. 11100

If in a certain code '97452' is written as 'PRIME', '503' is written as 'MUG' and '6813' is written as 'TANG', then how will '304687' be written in the same code? A.

5.

D. METHANE

Complete the number pattern given below.

11000

4.

C. METER

Three of the following four are alike in a certain way and so form a group. group. Choose the odd one out. A.

3.

PARENT

GUTIAR

B. GUIATR GUIATR

C. GUITAR

D. GUITRA

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

A.

B.

C.

D.

Space for Rough Work


7th IMO - Set A

3

3

7th IMO - Set A

6.

7.

Select a gure gure from the the options in which Fig. (X) is embedded as one of its part. A.

B.

C.

D.

Riya scored more than Mohit. Yash Yash scored as much as Tarun. Anjali scored less than Priti. Mohit scored more than Yash. Priti scored less than Tarun. Who scored the highest? A.

8.

Anjali

B. Riya

C. Yash

D. Mohit

Look at the given gure. Which Which point is to the South of Point Q? A.

Point P

B. Point S C. Point F D. Point B 9.

Which line is the line of symmetry of the given gure? gure? A. B. C. D.

AB CD EF GH

10. If the given matrix follows a certain rule row-wise or column-wise, then nd the missing number. A. B. C. D.

112 82 14 31

8

4

12

10

15

1

74

?

14 5



4

7th IMO - Set A

7th IMO - Set A

4

MATHEMATICAL MA THEMATICAL REASONING REASON ING

11. The given gure is obtained by removing removing some small squares from a big rectangle. The length of one side of a small square is 2 cm. Find the perimeter of the gure. A. B. C. D.

28 cm 42 cm 56 cm 160 cm

12. The smallest number of squares that must be shaded so that the gure has a line of symmetry is _____. A. B. C. D.

2 3 4 5

DIRECTION (13-14) : The given graph shows the number of boys and girls enrolled in four tuition centres. Study it carefully and answer the following questions.

13. Which tuition centre has the highest enrollment of students? A.

P

B. Q

C. R

D. S

14. What would be the total number of students at tuition centre P, if another 46 students want to enrol in it? A.

256

B. 296

C. 346

D. 356



7th IMO - Set A

5

5

7th IMO - Set A

15. What fraction of the given gure is shaded? A. B. C. D.

1/2 3/7 4/7 5/7

16. How many times must 40 be added to itself to get 200000? A.

100000

B. 80000

C. 40000

D. 5000

17. What is the missing number in the number line?

52134

52534

52934

53334

53734

? A.

53049

B. 53490

C. 53094

D. 50934

C. 48713

D. 48731

18. Find the sum of 408, 9010 and 38413. A.

43781

B. 47831

19. There are _______ symmetrical gures and _______ non-symmetrical gures.

A.

2, 4

20. Express A.

B. 4, 2

C. 5, 1

D. 3, 3

C. 12 hours

D. 22 hours

5 of a day in hours. 12

2 hours

B. 10 hours

EVERYDAY MATHEMATICS

21. A box contains 86 compact discs. A factory shipped out 12 boxes of compact discs. Find the total number of compact discs shipped out. A.

1302

B. 1032

C. 1023

D. 1320



6

7th IMO - Set A

7th IMO - Set A

6

22. Mohit has 245 more marbles than Rohit. If Rohit has 1429 marbles, how many marbles do they have altogether? A.

3116

B. 2874

C. 1345

23. 120 adults and 345 children went to a concert. If each person paid they pay altogether? A.

`

162750

B.

`

162780

C.

`

106278

D. 3103 `

350, how much did

D.

`

160275

1 1 of it to her neighbour and ate of it. 2 4 What fraction of the cake is left with Mrs. Priya?

24. Mrs. Priya baked a chocolate cake. She gave

A.

1 2

B.

1 7

C.

1 4

D.

1 8

25. Garima had ` 42700 in the bank. She put in another ` 250. How much more money must she put in, if she wants to have a sum of ` 60000? A.

`

17800

B.

`

17050

C.

`

14080

D.

`

10480

1 26. Anuj's weight is 64 kg and his sister is 1 times to his weight. What is the total weight 4 of both of them? A.

109 kg

B. 102 kg

C. 112 kg

D. 144 kg

27. Latika started her part time job at 9:30 and nished at 17:45. Her tea break was 45 minutes long. How much time did she spend doing her job? A.

7 hrs 45 mins

B. 7 hrs 30 mins

C. 8 hrs 15 mins

D. 8 hrs 30 mins

28. There are 18 pupils in a queue. If the distance between two pupils is 80 cm, how long is the queue? A.

1063 cm

B. 1036 cm

C. 1630 cm

D. 1360 cm

29. Raj scored a total of 267 marks for three subjects in the Mid-year Examination. He obtained 80 marks for English and 94 marks for Science. How many marks did he score for Mathematics? A.

80

B. 93

C. 89

D. 94

30. Mrs. Beena had 4 kg of our. She used 3 kg 60 g our to bake some cakes. How much our had she left? A.

930 g

B. 940 g

C. 40 g

D. 960 g



7th IMO - Set A

7

7

7th IMO - Set A

ACHIEVERS SECTION

31. What is the number represented by

28

?

40

A. B. C. D.

6 8 10 16

30 30

48

20

32. What is the weight of marble P?

A.

300 g

B. 250 g

C. 240 g

D. 350 g

33. Find the sum of the shaded parts below and express the answer as a mixed number. +

A.

3

1

B.

2

3

+

1

+

C.

8

2

3 4

=

?

D.

2

1 2

34. Which of the following statements is CORRECT? A.

3965

÷

8 leaves a remainder of 5.

C. Sum of 1

3 3 1 + 2 is 2 + 1 . 4 8 8

B.

3 1 is greater than but less than 1 . 4 5 3

D. There are 86 hundreds in 86439.

35. Which of the following is the greatest 1-digit number that has 4 factors? A.

6

B. 7

C. 8 Space for Rough Work


D. 9

Class 4 7th

SET B Year 2013


7th IMO - Set B

2

LOGICAL REASONING

1.

How many unit cubes are there there in the given gure? A. B. C. D.

2.

3.

18 19 20 17

Find the odd one out. A. BCDE B. PQRS

C. WXYZ

D. STUW

Look at the given number-letter number-letter codes. N um b e r

5

1

3

0

2

4

7

L e tt e r c o d e s

X

L

M

D

P

B

F

The code for 430521 is ______. A. 4.

C. BMDXLP

1, 4, 5, 2, 3, 6

P

I

G

R

S

N

1

2

3

4

5

6

B. 5, 1, 4, 2, 3, 6

C. 5, 1, 4, 2, 6, 3

Find the missing number, number, if a matrix follows certain trend row-wise or column-wise. A. B. C. D.

6.

B. BMDXPL

D. BMXPDL

Select the combination of numbers so that that letters arranged accordingly accordingly form a meaningful meaningful word.

A. 5.

BDFMXP

10 5 6 3

D. 5, 1, 2, 4, 3, 6

18

4

11

16

18

17

8

2

?

How many 6's 6's are there there in the given series, series, each of which is immediately immediately followed by 3 but not preceded by 7? 1 2 6 3 5 9 8 6 7 6 3 4 8 5 1 6 3 4 5 6 7 3 6 5 3 4 A. None B. One C. Two D. Three Space for Rough Work


7th IMO - Set B

3

7th IMO - Set B

7.

3

Which of the following shapes is NOT embedded in Fig. (X)?

Fig. (X) A.

8.

B.

C.

D.

Which of the following numbers is the wrong wrong term in the given series? A.

15389

B. 16489 1 438 9

C. 17589 D. 18989 9.

1 538 9

1 64 89

1 75 89

189 89

There is a denite relationship between gures P and Q. Establish a similar relationship between gures R and S by selecting a suitable gure from the options that would replace the (?) in Fig. (S).

? P A.

Q

R

B.

S

C.

D.

10. If Mohit is facing north-east and he makes an anti-clockwise facing now? A.

3 4

Library

-turn, where will he be

Park

Swimming Pool

Bus S top

Post Ofce

Bank Petrol

B. Petrol Pump

Post Ofce

C. Park

P ump ump Shopping Mall

D. Shopping Mall Space for Rough Work


4

7th IMO - Set B

7th IMO - Set B

4

MATHEMA MA THEMATICAL TICAL REASONI REASONING NG

11. What is the sum of the rst and second common multiple of 4 and 6 ? A.

36

B. 144

C. 72

D. 288 8 cm

12. Rohit used a piece of wire to form the given shape. What was the length of wire that he had used? A. B. C. D.

23 25 32 34

2 cm

cm cm cm cm

2 cm 2 cm

7 cm

13. Which of the following squares must be shaded so that the given gure is symmetrical? A. B. C. D.

P

P Q R S

Q

R

S

DIRECTION (14-15) : Study the given table carefully and answer the following questions. N um b e r o f b o o k s b o r ro w e d b y ea c h pu p i l N um b e r o f p up i l s

0

1

2

3

4

98

1 36

184

95

28

14. What is the total number of books borrowed during the week? A. B. C. D.

443 901 541 999

15. How many pupils borrowed more than 2 books? A. B. C. D.

307 123 418 320 Space for Rough Work


7th IMO - Set B

5

7th IMO - Set B

5

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

LVIII = 58 CII = 102 XCVIII = 108 LXII = 62

17. Sheela reached the library at 12 : 05. The bus ride to the Library lasted 45 minutes. At what time tim e did she board boar d the bus ? A. B. C. D.

11 12 11 12

: : : :

20 50 20 50

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

18. 43 thousands less than 473743 is _____. A. B. C. D.

43000 430743 443074 437430

19. Find the value of P – Q + R in the number line shown below. P 5 A.

6

2 5

R 6

B.

7

3 5

Q

7 C.

8 2

4 5

D.

7

2 5

20. There is a number between 80 and 90. When the number is divided by 7, it leaves a remainder of 5. What is the twice of that number among the given options? A. B. C. D.

162 166 176 178 Space for Rough Work


6

7th IMO - Set B

7th IMO - Set B

6


21. There were 180 apples in a box. 15 of them were rotten and the rest were packed into packets of 8. How many packets of apples were there in the end? A.

20

B. 21

C. 22

D. 23

22. Sarah bought 6 boxes of muffins. There were a dozen muffins in each box. Her friends ate some and there were 5 muffins left. How many muffins were eaten by her friends? A.

18

B. 31

C. 67

D. 77

23. Harsh placed 14 chairs in a row at equal distances. The distance between the first and fourth chair was 6 m. What was the distance between the fourth chair and fourteenth chair? A.

20 m

B. 26 m

C. 22 m

D. 24 m

24. Akshat needs 72 ice-creams for a party. For every 5 ice-creams he buys, he gets one free. How many ice-creams will he need to buy for? A.

70

B. 55

25. In a race, Mohit ran he covered? A.

3 5

km

1 5

C. 65

km, jogged

B.

4 5

1 10

D. 60 2

km and walked

5

km. What was the total dist ance

7

km

C.

10

4

km

D.

10

km

26. An aeroplane took off at 10 : 20 p.m. It flew for 1 hour and 35 minutes. At what time did the aeroplane arrive at its destination? A.

11 : 55 p.m.

B. 1 : 55 p.m.

C. 11 : 55 a.m.

D. 1 : 55 a.m.

27. Ajay buys a piggy bank. He has 52 one rupee coins, 26 fifty paise coins and 32 twenty-five paise coins. How much money does he have? A.

`

74

B.

`

73

C.

`

68

D.

`

80



7th IMO - Set B

7

7th IMO - Set B

7

28. Of his collection of books, Sandeep gave 350 books to the local library and 25 books to each of his 7 grandchildren. How many books did Sandeep had in his collection? A.

530

B. 425

C. 525

D. 500

29. Shruti had 526 stamps in her collection. If each page in her album can hold 25 stamps, how many pages has she used if all the stamps are pasted in the album? A.

20

B. 23

C. 21

D. 22

30. A school field measures 42 m by 36 m. How far does Latika run if she runs 4 times round the field? A.

624 m

B. 524 m

C. 182 m

D. 156 m

ACHIEVERS SECTION

31. Find the perimeter of the given figure, if all the sides are of length 3 tens – (10 ones + 4 ones) cm. A.

110 cm

B. 128 cm C. 138 cm D. 150 cm

32.

2 3

A. B.

of 6 m is same as ______. 2 3 1 3 2

C. D.

× 1m +

3 2 3

×

5m+

m×

m+

2 3 2 3

2 3 1 3

×

5m

× 1m

m×

m+

2 3 2 3

m×

m+

2 3 2 3

m×

m+

2 3 2 3

m×

m+

2

m

3 2

m

3



8

7th IMO - Set B

7th IMO - Set B

8

33. A number that is less than 100 is a common multiple of 6 and 8. The sum of its digit is 9 but the difference between them is 5. What is the number? A.

45

B. 72

C. 84

D. 94

34. Which of the following statements is INCORRECT? A.

8/12 lies between 1/12 and 3/4.

B. 5 ten thousands, 48 tens, 16 ones written in numerals is 50496. C. 56 × 36 is same as 50 × 36 + 6. D. A square has 4 lines of symmetry. 35. Aarav started working in the morning morning as shown on the clock. He stopped working after A.

9

3 4

hours. When did Aarav stopped working?

4 : 55 p.m.

B. 5 : 12 p.m. C. 4 : 58 p.m. D. 5 : 02 p.m. Space for Rough Work


Class 4 8th

SET A Year 2014


8th I IM MO - SET A

1

LOGICAL REASONING 1.

Mohit was facing the library. library. He made a 3/4 turn turn anticlockwise. Where would he be facing?

School

Library

Ofce

L i b r a r y

O f  c e

A.

Park House

B. Home C. Hospital

Park

D. Ofce 2.

Hospital Police station

Given below is the folded form of paper. paper. Which of the following is the the correct gure gure when the paper is unfolded along the dotted line?

A.

3.

Post ofce

Mohit

B.

C.

D.

Which of the following gures will continue the given gure gure pattern? ___ ?__ A.

4.

B.

C.

Find the missing number, number, if a certain rule is followed in the given gure. A. 342 C. 456

5.

D. 25 26

B. 339 D. 135

24

27

?

318 332 325

Find the mirror mirror image of gure (X), if the mirror mirror is placed along the dotted line MN. MN. Figure (X)

M

N

A.

B.

C.

D.



2

8th IMO - SET A

8th IMO - SET A

2

6.

In a play competition, there are 5 nalists. Priya : She has only one girl behind her. her. Beena : She is not the rst. Garima : She is just after Latika. Megha : She is just before Priya. _____ and ____ stood at rst and last positions respectively. respectively. A.

7.

Garima, Latika

C. Garima, Megha

D. Megha, Beena

Which of the following gures is symmetrical along the dotted line?

A.

8.

B. Latika, Beena

B.

C.

D.

Select a gure gure in which shape (X) is exactly embedded embedded as one of its part.

(X) A.

9.

B.

C.

D.

Varun, Tarun and Akash are standing in a queue. ● Varun is standing at one of the ends. ● There are ve persons between Varun and Akash. ● Tarun is standing midway between Varun and Akash. How many people are standing in a queue? A.

5

B. 6

C. 7

D. 8

10. 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. A U I G R T 1 2 3 4 5 6 A.

4, 3, 5, 6, 1, 2

B. 4, 3, 2, 1, 5, 6

C. 4, 2, 3, 1, 6, 5

D. 4, 2, 3, 6, 1, 5



8th I IM MO - SET A

3

MATHEMATICAL REASONING

8th I IM MO - SET A

3

MATHEMATICAL REASONING 1

11. How many more squares must be shaded so that

A.

1

B. 2

3

of the gure is shaded?

C. 3

D. 4

12. The difference between (eighty six thousand and forty) and (seven thousand nine hundred and sixty four) is _______. A.

80686

B. 78076

C. 67607

D. 70976

13. The common factors of 40 and 96 which are also multiples of 4 are ______. A.

4, 8, 12, 16

B. 4, 8

C. 1, 4, 8

D. 1, 4, 40, 96

14. Find the values of X, Y and Z respectively in the given multiplication problem. A. B. C. D.

2, 7, 2, 7,

7, 3, 7, 4,

3 X

8 9

1 Y Z

4 6 0

2 0 2

×

9 6 8 6

2 4 6

+

20 cm

15. Find the perimeter of the given gure (not drawn to scale). A.

2

5 cm

88 cm

13 cm

24 cm

B. 93 cm

16 cm

C. 98 cm D. 103 cm

8 cm

16. Which of the following gures has only two lines of symmetry?

A.

B.

C.

D.



4

8th IMO - SET A

8th IMO - SET A

4

17. Latika is practicing for a race. She uses the given map to nd the possible routes. The route must start from her school and end at home. She wants to run the shortest route. Which of the following is the best route? A. School – Park – Bank – Home B. School – Lake – Home C. School – Library – Lake – Home D. School – Library – Museum – Home

nk Ba

2 km

Park

Home

3 km

Bank

Lake

m 6 k

1 km

4 km School

Museum m 5 k

m k 3 Library

2 km L i b r a r y

4 k m m

3 km

18. The number shown in the abacus is read as __________.

HTh TT TTh

A. B. C. D.

Th

H

T

O

Five hundred forty two thousand seven hundred and ninety six. Five ten thousand forty two hundred thousand seven hundred ninety six. Five lakhs forty two thousand seven hundred ninety six. Fifty four thousand two thousand seven hundred ninety six.

19. Which of the following statements is INCORRECT? A. V, L, D can never be subtracted while writing roman numerals. B. Symbol I can be subtracted from V and X only once. C. X cannot be subtracted from L. D. None of these 20. The weight of each of the 6 identical balls is ____. 5 0 00 g 0 5 0 0 0 0 g

A.

250 grams

B. 350 grams

5 0 00 g 0

C. 450 grams

D. 500 grams



8th I IM MO - SET A

5

8th I IM MO - SET A

5

EVERYDAY MATHEMATICS 21. Shonali started playing the piano at 14:45. She played for 45 minutes before starting her homework. If Shonali nished doing her homework at 5:30 pm, how long did she take to nish her homework? A. 2 hours C. 3 hours

B. 2 hours 30 minutes D. 3 hours 30 minutes

22. There were 160 balls in a box. 50 of the balls were red. There were 5 more red balls than green balls. The rest of the balls were blue. How many blue balls were there? A.

44

B. 52

23. There are

5

1 4

C. 55

m red cloth in the shop and

2

2 3

D. 65

m red cloth is sold. How much cloth

is left? A.

3

1 2

m

B.

2

8 9

m

C.

3

1 3

m

D.

2

7 12

m

24. On Friday, 6759 people watched the football match. On Saturday, the attendance was 8513 and on Sunday, the attendance was 9876. How many people in all watched the match on three days? A.

25184

B. 25148

C. 21548

D. 21584

25. Two candidates contested an election. 83,457 votes were polled in all. 49,682 votes were polled in favour of one candidate and 2,974 votes were found invalid. How many votes were polled in favour of the other candidate? A.

30,711

B. 30,811

C. 30,801

D. 38,001

26. Each day 31 airplanes depart from an airport. If same number of planes depart on each day, then how many planes depart in a year (365 days)? A.

11315

B. 13115

C. 15131

D. 18132

27. The book store-keeper orders 25 books of Mathematics for ` 90 each and 32 books of Hindi for ` 80 each. How much does he have to pay in all? A.

`

4830

B.

`

8480

C.

`

4810

D.

` 5210



6

8th IMO - SET A

8th IMO - SET A

6

28. Sneha has 4 m 30 cm of cloth. If she needs only 2 m 70 cm of cloth to make a dress, then how much cloth will remain after making the dress? A.

2 m 60 cm

B. 1 m 60 cm

C. 1 m 30 cm

D. 5 m 60 cm

29. A train leaves Delhi at 11:00 a.m. and reaches Ambala at 2:20 p.m. How long is the journe jou rney? y? A.

3 hrs 20 mins

B. 4 hrs 40 mins

C. 4 hrs 10 mins

D. 4 hrs 20 mins

30. Neha spent her holidays of 6 weeks 2 days in Kerala, Jaipur and Goa altogether. She stayed in Kerala for 1 week 3 days and in Jaipur for 2 weeks 6 days. How much time did she spend in Goa? A.

2 weeks

B. 14 days

C. 1 week 5 days

D. Both A and B

ACHIEVERS SECTION 31. Sanchi thinks of two numbers. • The difference between the numbers is 8. • The product of the numbers is 128. • Both the numbers are even numbers. What is the sum of the value of numbers and value of smaller number? A.

28, 4

B. 24, 8

C. 32, 8

D. 24, 16

32. The given table shows the amount spent by Vansh and Veer in a month. Items

Vansh (in ` )

Veer (in ` )

Foo d

2450

2560

Transport

1120

1160

Shopping

?

?

Insurance

300

250

Miscellaneous

1450

1850

Total

6000

6200

Who spent more on shopping and by how much? A.

Veer, ` 300

B. Vansh,

`

380

C. Veer, Veer,

`

250

D. Vansh,

`

300



8th I IM MO - SET A

7

8th I IM MO - SET A

7

33. Two rectangles and a square form the given gure. The length of rectangle P is thrice that of square R. Find the perimeter of the entire gure. A. B. C. D.

100 cm 25 cm 50 cm 40 cm

R

m c P Q 5 1

34. 64 thousands 80 hundreds 75 tens – 17 thousands 92 hundreds 68 tens 19 ones = ____. A.

45831

B. 45841

C. 45851

35. Read the given clues and nd out the answer. As I was passing by, I saw four men walking together having 2 kids. Each kid had two bags. In each bag, there were four dogs. Every dog had four puppies. How many eyes were there altogether? A. 174 B. 108 C. 178 Space for Rough Work


D. 45861

D. 184

Class 4 8th

SET B Year 2014


8th I IM MO - SET B

1

LOGICAL REASONING

1.

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

A. 2.

B.

C.

D.

How many triangles are are there there in the given given gure? gure? A.

11

B. 12 C. 10 D. 14 3.

If Nisha is 2nd from the left end and Preeti is 3 rd from the right end, and 4 girls are standing between them, then number of girls in the row is ________. A.

4.

10

B. 11

C. 8

D. 9

Which of the following shows the correct gure gure when the paper given below is unfolded along the dotted line?

A.

5.

B.

C.

D.

Latika is facing towards her home. How many turns she she must move in the clockwise direction to face the school? A.

5/4

B. 3/8 C. 5/8 D. 3/4 Space for Rough Work


2

8th IMO - SET B

8th IMO - SET B

2

6.

Which of the following gures has exactly exactly four lines of symmetry?

A. 7.

Only (v)

B. Both (ii) and (iv)

C. Both (iii) and (iv)

D. Only (ii)

There is a denite relationship relationship between Fig. (i) and (ii). Establish a similar relationship between Fig. (iii) and (iv) by selecting a suitable gure from the o ptions which will replace the (?) in g. (iv).

A.

8.

B.

C.

D.

Study the given arrangement carefully. carefully.

Which ower is second to the right of sixth ower from the left end? A.

9.

B.

C.

D.

Select the gure gure from the the options which when placed in blank space of Fig. (X) would complete the pattern.

Fig. (X) A.

B.

C.

D.



8th I IM MO - SET B

3

8th I IM MO - SET B

3

10. In which of the following options, Shape (X) is exactly embedded as one of its part?

Shape (X) A.

B.

C.

D.

MATHEMATICAL MA THEMATICAL REASONING REAS ONING

11. What fraction of the gure is unshaded ? A.

3/8

B. 1/4 C. 1/2 D. 1/3

12. Weight of a pineapple is ______ g. A.

33

B. 22 C. 28 D. 9 13. Mohit went for swimming at 2:30 pm and returned back home he came back home is ______.

A.

B.

C.

3

1 2

hours later. The time

D.

14. The perimeter of the given gure (not drawn to scale) is 65 A. 3 B. 4 C. 5 D. 2

cm. Find the length of PY. cm cm cm cm Space for Rough Work


4

8th IMO - SET B

8th IMO - SET B

4

15. Fill in the correct sign. LXXVI + XLIII – XV A.

LXXXVII – LIV + X

>

B. <

C. =

D. Can't be determined

16. 12 thousands + 12 hundreds + 12 tens + 12 = _________. A.

12228

B. 12252

C. 13308

D. 13332

17. Which of the following numbers has the least number of factors? A.

12

B. 15

C. 13

D. 20

18. In 46832, the place value of the digit '6' is how many times as much as the place value of the digit '3'? A.

2

B. 20

C. 200

D. 2000

19. Which of the following is NOT equal NOT equal to 84 × 47? A.

80 × 47 + 4 × 47 B. 84 × 40 × 7

C. 84 × 40 + 84 × 7 D. 82 × 47 + 2 × 47

20. The given table shows the number of chairs sold by 2 factories over a period of 4 months. Months

Factory P

Factory Q

September

2545

1389

October

1864

1354

November

900

1268

December

1217

2513

How many more chairs did factory Q sell than factory P in December? A.

1864

B. 1183

C. 1296

D. 1543


21. Sanchi earned ` 1500 in 5 days. She spent 3/10 of it and saved the rest. If she earns equal amount of money everyday, then how much did she save in a day? A.

`

40

B.

`

210

C.

`

450

D.

` 1050



8th I IM MO - SET B

5

8th I IM MO - SET B

5

22. Mr. Mr. Kapoor lled 3L 500mL petrol in his car on 1st December, 2L 750 mL on 5 th December and 4L 250 mL on 9th December. How much petrol did he ll in his car in the rst week of December? A.

6 L 250 mL

B. 10 L 500 mL

C. 1 L 500 mL

D. 105000 mL

23. Last year, Mini celebrated her twelfth birthday. This year, her brother is twice as old as Mini. How old will be her brother in three years time? A.

26 years

B. 27 years

C. 29 years

D. 32 years

24. Varun has some stickers. He can share them equally with 6 friends. He can also share them equally with 8 friends. What is the fewest possible number of stickers he can have? A.

12

B. 32

25. Rohan's school is

2

1 2

C. 24

kilometres from his house. He cycles this distance daily. One day,

his cycle tyre got punctured after he had gone he had to walk? A.

1

3 4

km

D. 48

B.

2

1

C.

km

2

1

1 4

3

kilometres. What was the distance

3 4

km

D.

1

1

km

4

26. Saurabh bought 56 kg 500 g of rice from one shop and 48 kg 750 g of rice from another. How much rice did he buy? A. 105 kg 150 g

B. 105 kg 250 g

C. 250 kg 105 g

D. 1052500 1052500 g

27. In a farm, there are 9 hens and some cows. If there are 26 legs altogether, how many cows are there? A.

5

B. 6

C. 4

D. 2

28. If one notebook contains 260 pages, how many pages do 185 notebooks contain? A.

4450

B. 4810

C. 48100

D. 5100

29. 4600 people were to be transported in 100 buses. How many people could 1 bus carry, if each bus carry equal number of people? A.

46

B. 460

C. 4500

D. 200



6

8th IMO - SET B

8th IMO - SET B

6

30. Gautam wakes up at 6:15 a.m., takes 45 minutes to get dressed, 12 minutes to eat breakfast and 20 minutes to reach school. At what time does he reach the school? A.

7:30 a.m.

B. 7:32 a.m.

C. 7:28 a.m.

D. 7:35 a.m.

ACHIEVERS SECTION

31. The given bar graph shows the favourite ice-cream avours of a group of children. _____ of the children prefer strawberry avour.

A.

1/4

B. 1/5

C. 1/6

D. 4/15

32. Alia is thinking of a fraction. The numerator is 4 more than the denominator. denominator. The numerator and the denominator have only three common factors 1, 2 and 4. The denominator is a number greater than 4 but smaller than 10. What is the fraction Alia is thinking of? A.

4/8

33. Find the value of A.

B. 8/4 P

− Q + R

S

C. 12/8

D. 16/12 1P 19

.

)

38

3

72954

(

−38

349 −3 Q 2

B. 4

75 −

C. 6

38

3 R 4 −

D. 7

S 2

34. The movie tickets of 8 people cost A.

`

342

300

B.

`

5000

` 1000.

What will be the cost of 24 tickets? C.

`

3000

D.

`

4500



8th I IM MO - SET B

7

8th I IM MO - SET B

7

35. The given gure (not drawn to scale) is made up of square PQRS and a rectangle LMNO. LR is thrice the length of LQ. LM = RO. (a) Find the sum of PS and RO. (b) Find the length of LM. (a) (b)

A. B. C. D.

12 16 12 14

cm cm cm cm

6 8 8 6

cm cm cm cm Space for Rough Work


ANSWER KEYS 4th IMO (2010) 1. 11. 21. 31. 41.

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

2. 12. 22. 32. 42.

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

3. 13. 23. 33. 43.

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

4. 14. 24. 34. 44.

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

5. 15. 25. 35. 45.

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

6. 16. 26. 36. 46.

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

7. 17. 27. 37. 47.

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

8. 18. 28. 38. 48.

(B) (B) (B) (B) (B)

9. 19. 29. 39. 49.

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

10. 20. 30. 40. 50.

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

5th IMO (2011) 1. (B) 11. (B) 21. (A)

2. (D) 12. (D) 22. (A)

3. (B) 13. (B) 23. (D)

4. (D) 14. (B) 24. (C)

5. (B) 15. (B) 25. (A)

31. (B)

32. (D)

33. (A)

34. (B)

35. (C)

6. (C) 16. (C) 26. (C)

7. (C) 17. (D) 27. (B)

8. (B) 18. (D) 28. (B)

9. (B) 19. (C) 29. (A)

10. 20. 30.

(C) (B) (C)

7. (C) 17. (C) 27. (B)

8. (B) 18. (C) 28. (C)

9. (A) 19. (D) 29. (C)

10. 20. 30.

(C) (D) (B)

7. (D) 17. (A) 27. (B)

8. (C) 18. (A) 28. (A)

9. (B) 19. (C) 29. (C)

10. 20. 30.

(D) (D) (A)

7. (B) 17. (C) 27. (B)

8. (B) 18. (B) 28. (D)

9. (A) 19. (D) 29. (B)

10. 20. 30.

(D) (B) (B)

7. (A) 17. (A) 27. (B)

8. (C) 18. (B) 28. (C)

9. (A) 19. (A) 29. (D)

10. 20. 30.

(B) (D) (A)

7. (C) 17. (D) 27. (C)

8. (C) 18. (A) 28. (B)

9. (C) 19. (C) 29. (A)

10. 20. 30.

(D) (A) (D)

7. (D) 17. (C) 27. (D)

8. (D) 18. (C) 28. (C)

9. (B) 19. (B) 29. (A)

10. 20. 30.

(A) (C) (B)

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

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

2. 12. 22. 32.

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

3. 13. 23. 33.

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

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (A) 16. (A) 26. (A)

SET B 1. 11. 21. 31.

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

2. 12. 22. 32.

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

3. 13. 23. 33.

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

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (D) 16. (B) 26. (D)

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

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

2. 12. 22. 32.

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

3. 13. 23. 33.

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

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (B) 16. (D) 26. (D)

SET B 1. 11. 21. 31.

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

2. (D) 12. (D) 22. (C) 32. 32. (A,D)

3. (B) 13. 13. (A,C) 23. (A) 33. (B)

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (C) 16. (C) 26. (A)

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

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

2. 12. 22. 32.

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

3. 13. 23. 33.

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

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (B) 16. (D) 26. (A)

SET B 1. 11. 21. 31.

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

2. 12. 22. 32.

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

3. 13. 23. 33.

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

4. 14. 24. 34.

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

5. 15. 25. 35.

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

6. (B) 16. (D) 26. (B)


306722156-Class-4-Imo-5-Years-e-Book.pdf

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