i
1
By Mahabir Singh
MTG Learning Media (P) Ltd. New Delhi | Gurgaon
ii
Revised Edition : 2017 ISBN 978–93–86379–83–2
Corporate Ofce : Plot 99, Sector 44 Institutional area, area, Gurgaon -122 003 (HR) Telefax : 0124-6601200 Regd. Ofce : 406, Taj Apt., Ring Road, Adjacent Safdarjung Hospital, New Delhi - 110 029. Web: mtg.in Email:
[email protected]
© Copyright reserved. All the the rights reserved. No part of this publication publication may be reproduced, stored in a retrieval system system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the Publisher.
For CLASS 1 Olympiads must read...
Last 5 years’ papers of IMO Level 1 and level 2 preparation material
iii
Chapter 1 : Number Sense
5
Chapter 2 : Addition
12
Chapter 3 : Subtraction
18
Chapter 4 : Lengths, Weights and Comparisons
24
Chapter 5 : Time
31
Chapter 6 : Money
37
Chapter 7 : Geometrical Shapes
44
Chapter 8 : Logical Reasoning
51
10th S F Interna Internatio tional nal Mathemat Mathematics ics Oly Olympia mpiad d - 2016
57
Hints & Explanations
66
iv
CHAPTER
1
NUMBER SENSE Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Identify numbers and their names up to 100.
What comes before, after and in between the numbers.
Compare numbers.
Identify numbers and their names using abacus and place values.
Arrange numbers in ascending or descending order.
Skip counting, expanded form.
Count and write the number of objects given.
MATHEMATICAL REASONING
1. What will come in place of (?)? (A) Seventy (B) Seventy three (C) Seventy one (D) Seventy ve
72
?
74
2. Which number line shows counting by 2’s? (A)
(B)
(C)
(D)
CLASS 1
5
3. ______ is holding the largest number. (A) Rohan (B) Meeku (C) Latika (D) Priya
2 tens 3 ones
2 tens 4 ones
Latika
Rohan
4. There are 9 ones and 2 tens in _____. (A) 92 (B) 29 (C) 32
3 tens 2 ones
3 tens 0 ones
Meeku
Priya
(D) 20
5. Which of the following is NOT a correct match ? (A)
62
Sixty two
(B)
32
Thirty two
(C)
81
Eighty one
(D)
43
Thirty four
6. What is the descending order of 40, 30, 10, 20? (A) 10, 20, 30, 40 (B) 40, 30, 20, 10 (C) 40, 10, 20, 30 (D) 10, 30, 40, 20 7. Which of the following abacuses shows the number of given balloons?
(A)
(B)
(C)
8. What comes before 58 and after 56? (A) 59 (B) 57 (C) 60
(D)
(D) 55
9. Which of the following numbers is on the tree? (A) Forty four (B) Ninety ve (C) Fifty two (D) Thirty nine 6
12 49
92 30
40 39 45
82
IMO WORKBOOK
10. The number on the given abacus is ________. (A) 7 tens 4 ones (B) 4 tens 6 ones (C) 6 tens 4 ones (D) 4 tens 7 ones 11. The given number line shows ________.
14
(A) Counting by 2’s (C) Counting by 3’s
(B) Counting by 4’s (D) Counting by 1’s
12. Which of the following jars has the least number of candies?
(A)
(B)
(C)
(D)
13. Select the INCORRECT match. (A)
— Sixteen
(B)
— Twelve
(C)
— Fourteen
(D)
— Eighteen
CLASS 1
7
14. Which of the following sets has more objects than the given set of dots? (A)
(B)
(C)
(D)
15. Six rabbits are numbered as follows. 7
27
37
32
57
67
Which rabbit shows the number lying between 30 and 40 and also having 7 at ones place? (A)
17
(B)
32
(C)
37
(D)
67
EVERYDAY MATHEMATICS
16. Which tree has mangoes more than 5 but less than 7? (A)
(B)
(C)
(D)
17. Sneha has following owers and ice-creams.
Which statement is true? (A) Flowers are more than ice-creams. (B) Flowers are less than ice-creams. (C) Flowers are equal to ice-creams. (D) Ice-creams are 1 more than owers. 8
IMO WORKBOOK
18. How many birds are there in the given picture?
(A) 7
(B) 8
(C) 4
(D) 12
19. Which bucket has the least quantity of liquid in it? (A)
(B)
(C)
(D)
20. Who has maximum number of apples? Ria
(A) Radhika
Radhika
(B) Ria
Rupal
(C) Rupali
Rupali
(D) Rupal
ACHIEVERS SECTION (HOTS)
21. Select the INCORRECT match. (A)
(C)
CLASS 1
– 10
– 13
(B)
– 13
(D)
– 16
9
22. P
Q
R
S
T
Cap (1) is before cap Q. Cap (2) is after the cap S. Cap R is (3) the cap Q and cap S. Cap S is (4) the cap T. (1) (2) (3) (4) (A) P T between after (B) P T between before (C) P R after after (D) R T before before 23. Match the following. P. 2 tens 6 ones Q. 3 tens 4 ones R. 4 tens 3 ones A. B. C. D.
P P P P
→ → → →
(3); (1); (2); (2);
Q Q Q Q
→ → → →
(1) 43 (2) 26 (3) 34
(1); (3); (1); (3);
R R R R
→ → → →
(2) (2) (3) (1)
24. Which number line shows jumps of frog by 3’s? (A)
0
1
2
3
4
5
6
0
1
2
3
4
5
6
0
1
2
3
4
5
6
0
1
2
3
4
5
6
(B)
(C)
(D)
10
IMO WORKBOOK
25. Which abacus shows 1 more than 56? (A)
(B)
(C)
(D)
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
OSDS
Downloadable test series consisting of 8 test papers Each question paper is parallel to the actual Olympiad exam in pattern and level of difficulty
OLYMPIAD SKILL DEVELOPMENT SYSTEM
APPRECIATED AND
Each question paper is accompanied by OMR sheet and detailed solutions.
RECOMMENDED
Helpful in developing your skills like t ime management, OMR filling, calculation tricks, etc.
BY THOUSANDS OF
PARENTS / TEACHERS
Available for class 1-8 CLASS 1
|
For more details visit www.mtg.in 11
CHAPTER
2
ADDITION Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Adding one digit and two digit numbers.
Adding numbers given in form of their names, tens and ones.
Solve word problems on addition. Addition on number line. Properties of ‘zero’ in addition.
MATHEMATICAL REASONING
1. Arrange the rabbits from the greatest to the smallest. (A) P, S, R, Q (B) S, R, Q, P 8 + 9 20 + 2 12 + 7 (C) Q, S, R, P P Q R (D) Q, R, S, P
13 + 5 S
2. +
(A) 73 + 12 = 85 (C) 71 + 13 = 84 12
=
shows
(B) 74 + 11 = 85 (D) 70 + 8 = 78 IMO WORKBOOK
3. If I add a number to 10, I will get 10. What number am I adding? 10 + = 10 (A) 1 (B) 0 (C) 10 (D) 11 4. Which of the following options will complete the given number bond ? (A) 20 ones + 3 tens (B) 2 tens + 3 tens (C) 2 tens + 3 ones (D) 2 ones + 3 tens
? 23
+ ?
5. Number of owers in both the boxes is _____________. Box Q
Box P
(A) 8 + 5 = 13
(B) 8 + 5 = 10
(C) 8 + 6 = 14
(D) 8 + 4 = 12
(C) 82
(D) 79
6.
43
36
(A) 80
(B) 89
7. Which of the following options has the smallest value? (A)
50 + 6
(B)
50 + 9
(C)
60 + 12
(D)
50 + 3
8. A boy jumps 3 steps from 0 and then 2 steps. Where will he reach?
(A) 5th point CLASS 1
(B) 6th point
(C) 7th point
(D) 4th point 13
9. 11 + 3 is shown by which abacus? (A)
(B)
(C)
(D)
10. Add the numbers on the given abacuses. (A) 76 (B) 78 (C) 87 (D) 70 11. Find the missing number, 8+ ? = 15. (A) 8 (B) 7 (C) 5
(D) 6
DIRECTION (12-13): Study the given sets and answer the following questions.
P Q R 12. Find the total number of owers in set Q and set R. (A) 25 (B) 45 (C) 30 (D) 35 13. Find the total number of owers in set P, set Q and set R. (A) 49 (B) 39 (C) 59 (D) 40
14. Select the INCORRECT match.
14
(A) 42 + 56
—
98
(B) 39 + 20
—
59
(C) 73 + 22
—
91
(D) 51 + 48
—
99 IMO WORKBOOK
15. Which of the following options gives the answer greater than 35?
(A)
13+16
(B)
17+11
(C)
23+12
(D)
24+20
EVERYDAY MATHEMATICS
16. In a jungle, there are only 5
20 (A) 25
, 4
and
. How many animals are there in the jungle? (B) 22
(C) 30
(D) 29
17. Rahul has 34 candies. He buys 5 more candies. How many candies does he have altogether? (A) 35 (B) 30 (C) 42 (D) 39 18. There are 13 boys and 42 girls in a class. How many children are there in the class? (A) 55 (B) 45 (C) 52 (D) 58 19. There are only 8 hens and 4 chicks in a farm. How many total birds are there in the farm? (A) 14 (B) 12 (C) 9 (D) 10 20. Shreya bought 12 cupcakes on Monday, 10 cupcakes on Tuesday and 34 cupcakes on Wednesday. How many cupcakes did she buy altogether? (A) 58 (B) 54 (C) 56 (D) 48 CLASS 1
15
ACHIEVERS SECTION (HOTS)
21. Richa and her 3 friends shared 48 stickers. Each child received ____ stickers.
(A) 4
(B) 16
(C) 9
22. Find the value of P and Q respectively. (A) 1, 3 (B) 3, 1 (C) 4, 0 (D) 3, 3
(D) 12 1 + 2 Q
P 3 4
23. 7 more than 10 is represented by which number line? (A) 0
1
2
3
4
5
6 7
8
9 10 11 12 13 14 15 16 17 18
0
1
2
3
4
5
6 7
8
9 10 11 12 13 14 15 16 17 18
0
1
2
3
4
5
6 7
8
9 10 11 12 13 14 15 16 17 18
0
1
2
3
4
5
6 7
8
9 10 11 12 13 14 15 16 17 18
(B)
(C)
(D) 16
IMO WORKBOOK
24. Which of the following options is CORRECT ? (A)
8 Tens
(C)
14 Ones
+
+
= 28 (B)
2 Ones
= 10 (D)
5 Ones
+
3 Tens
22 Ones
4 Ones
+
6 Ones
= 34
= 26
25. Riya has different types of fruits. She has 3 more apples than oranges. She has 6 more oranges than bananas. If she has 4 bananas, then the total number of fruits she has is (A) 13 (B) 27 (C) 40 (D) 15 JJJ Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
Do you want to Master Reasoning Questions ? Must Read !
Concise Theory Chapterwise Questions Hints and Explanations Tips and Tricks to solve questions quickly
Contents Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter
1 2 3 4 5 6 7 8
Patterns Measuring Units Geometrical Shapes Odd One Out Spatial Understanding Grouping Analogy Ranking Test
Logical questions are part of NCO,NSO, IMO and IGKO exams.
CLASS 1
17
CHAPTER
3
SUBTRACTION Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Subtract by taking away.
Subtract one digit and two digit numbers.
Subtract numbers given in the form of number names and place values.
Subtraction on number line.
Solve word problems on subtraction.
MATHEMATICAL REASONING
1.
shows _______ . (A) 8 – 6 = 2
(B) 8 – 5 = 3
(C) 8 – 3 = 5
(D) 8 + 5 = 13
2. Which of the following number sentences represents the given picture?
(A) 22 – 9 = 15 (B) 22 – 9 = 13 (C) 20 – 9 = 11 (D) 20 - 9 = 13 18
IMO WORKBOOK
3. 2 tens 4 ones – 1 ten 2 ones = (A) 12
(B) 14
(C) 13
(D) 15
4. Which abacus shows 25 – 12 = 13? (A)
(B)
(C)
(D)
5. The difference between the greatest and the smallest number shown in the cellphone is _____. (A) 64 (B) 84 (C) 81 (D) 28 6. Which of the following is the CORRECT way of writing 7 less than 12? (A) 12 – 7 = 5 (B) 7 – 5 = 2 (C) 12 – 5 = 7 (D) 12 + 5 = 17 7. How many ice-creams should be crossed ‘ ’ to show 8 ice-creams uncrossed?
(A) 14
8.
78
(A) 15 CLASS 1
(B) 6
(C) 4
(D) 8
(C) 11
(D) 6
63
(B) 10
19
9. Choose the CORRECT subtraction sentence for the given picture.
(A) 2 tens 3 ones – 4 ones (C) 2 tens 7 ones – 5 ones
(B) 2 tens 4 ones – 5 ones (D) 2 tens 4 ones – 4 ones
10. Which of the following number lines shows “7-4 = 3”? (A)
(B)
(C)
(D)
11.
? = ____
—
(A) 24
(B) 23
(C) 20
(D) 32
12. Which of the following options is INCORRECT? (A) 14 – 14 = 0 (B) 28 – 12 = 16 (C) 73 – 21 = 42 (D) 84 – 22 = 62 13. How many more balloons should be crossed ‘ ’ to show the given subtraction sentence? ‘18 – 9’ (A) 3 (B) 2 20
(C) 1
(D) 4 IMO WORKBOOK
14. Which of the following has the value less than ‘27‘?
(A)
62 ones – 20 ones
(B)
4 tens 2 ones – 3 tens
(C)
3 tens 2 ones – 2 ones
(D)
5 tens 9 ones – 3 tens 2 ones
15. Which subtraction sentence gives same value as (A)
(B)
(C)
(D)
?
EVERYDAY MATHEMATICS
16. Akansha bought 35 cookies. She gave 12 cookies to her brother. How many cookies are left with her? (A) 32 (B) 33 (C) 22 (D) 23 17. Some buttons are shown below. Blue buttons Yellow buttons How many more yellow buttons are needed so that yellow buttons are equal to blue buttons? (A) 4 (B) 3 (C) 7 (D) 8 CLASS 1
21
18. There are
in a pond. jumped off. How many frogs are left in the pond?
(A) 7 – 2 = 4 (C) 7 – 2 = 3
(B) 7 – 2 = 5 (D) 7 – 2 = 1
19. Tanmay eats 8 candies from a box of 12 candies. How many candies are left in the box? (A) 4 (B) 6 (C) 12 (D) 8 20. Sonia has 90 marbles. She gave 25 marbles to Sneha and 15 marbles to Tanu. How many marbles are left with her ? (A) 50 (B) 30 (C) 60 (D) 40 ACHIEVERS SECTION (HOTS)
21. Find the value of X and Y respectively. (A) 9, 8 (B) 8, 9 (C) 7, 6 (D) 6, 7 22. Match the following. Column-1 (1)
(a)
Column-2 7 – 3
(2)
(b)
9 – 5
(3)
(c)
8 – 3
(4)
(d)
9 – 2
(A) (1) (B) (1) (C) (1) (D) (1) 22
X – 5 3
a, → c, → b, → c, →
(2) (2) (2) (2)
d, → d, → c, → d, →
(3) (3) (3) (3)
c, → b, → d, → a, →
(4) (4) (4) (4)
Y 3 6
b → a → a → b →
IMO WORKBOOK
23.
= 10 and
= 5, then which of the following is CORRECT?
(A)
+
=
–
(B)
+
=
(C)
+
=
–
(D)
+
=
–
–
24. Which abacus represents 49-10?
(A)
T
(B)
T
O
(C)
O
T
(D)
O
T
O
25. Replace P and Q with appropriate signs respectively. 7 P 3 = 3 Q 1
(A) +, +
(B) +, –
(C) –, +
(D) –, –
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
CLASS 1
23
CHAPTER
4
LENGTHS, WEIGHTS AND COMPARISONS Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Comparing lengths and weights.
Measuring lengths using : span, feet, unit, a palm, a cubit, a pace.
Measuring weights using weighing scale and lengths using ruler or measuring tape.
Identification of ‘tallest, shortest’; ‘farther, nearer’; ‘thicker, thinner’; ‘heaviest, lightest’; ‘bigger, smaller’.
Measuring distance between two objects.
MATHEMATICAL REASONING
1. Balloon _______ has the longest string. (A) P (B) Q (C) R (D) S 2. Which of the following jugs holds the maximum quantity of water?
(A)
24
10 litres
(B)
12 litres
(C)
9 litres
(D)
11 litres IMO WORKBOOK
3. Which of the following is thinner than
(A)
4. If each units. (A) 15 (B) 13 (C) 12 (D) 11
(B)
?
(C)
(D)
stands for 1 unit, the weight of clown is _____
5. Strip ______ is the longest. (A) Q (B) P (C) S (D) R
P Q R S
6. Distance between two trees is _______. (A) 10 feet (B) 8 feet (C) 7 feet 1 foot (D) 6 feet 7. The length of Penguin is equal to ___ (A) 7 (B) 12 (C) 13 (D) 14 CLASS 1
.
25
8. Strip ____ is as long as pencil. (A) P (B) Q (C) R (D) S 9. Match the objects given in column-1 with their units of measurements given in column-2 Column-1 Column-2
P.
(1)
Litres
Q.
(2)
Kilograms
R.
(3)
Metres
(A) P (B) P (C) P (D) P
10. If 1 (A) 17 (B) 7 (C) 12 (D) 8 26
(1); (3); (2); (2);
Q Q Q Q
(3); (2); (3); (1);
R R R R
(2) (1) (1) (3)
means 1 unit, then the axe is _____ units long.
IMO WORKBOOK
11. Cup ______ is the shortest. (A) P (B) Q (C) R (D) S 12. Which of the following options shows ball 1 is lighter than ball 2? (A)
(B)
(C)
(D) None of these
13. Who is taller than Ali and shorter than Ella?
Rat
(A) Rat
Ella
Ali
(B) Ridhi
Dog
(C) Dog
Mona
Ridhi
(D) Mona
14. Tape is ________ span long. (A) 10 (B) 12 (C) 13 (D) 14 CLASS 1
27
15. Which of the following is the heaviest? (A)
(B)
(C)
(D)
EVERYDAY MATHEMATICS
16. Tarun‘s weight is 26 kg. Kirti‘s weight is 5 kg less than Tarun’s weight. What is the weight of Kirti? (A) 31 kg (B) 25 kg (C) 13 kg (D) 21 kg
17. Sonam has following two combs.
1
= 1 unit
Find the total length of both the combs. (A) 9 units (B) 8 units (C) 10 units
(D) 7 units
18. A bag of our weighs 2 kg. How much do 5 bags of our weigh? (A) 10 kg (B) 12 kg (C) 8 kg (D) 7 kg
19. Amit wants to buy a cricket bat which is 30 cm shorter than his height. His height is 120 cm. What will be the length of the bat? (A) 80 cm (B) 60 cm (C) 100 cm (D) 90 cm 20. The weight of Aastha’s doll is equal to 10 marbles. What will be the weight of two such dolls? (A) 5 marbles (B) 2 marbles (C) 20 marbles (D) 10 marbles 28
IMO WORKBOOK
ACHIEVERS SECTION (HOTS)
21. Fill in the blanks. Tree _____ is taller than tree R but shorter than tree P. Tree _____ is the shortest and tree _____ is the tallest. (A) S, R, Q (B) Q, S, R (C) R, S, P 22. Each
(A) 5
(D) Q, R, S
stands for 1 unit. The weight of
(B) 3
is ____ units.
(C) 1
(D) 2
23. Look at the following wires.
Wire ______ is the shortest and ______ is the longest. (A) P, S (B) S, P (C) R, S (D) P, R 24. If a mango is also placed on machine B, then which of the following statements is CORRECT? (A) Weight on machine A is the greatest. (B) Weight on machine C is the least. (C) Weight on machine B is the greatest. (D) Both (B) and (C) CLASS 1
0 grams 300
100
0 grams 300
100
0 grams 300
100
200
200
200
A
B
C 29
25. Paritosh’s height is 130 cm. He needs to reach the total height of 150 cm to reach the top of an almirah. The height of which stool will be most suitable for him? (A)
5 cm
(B)
10 cm
(C)
15 cm
(D)
20 cm
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
30
IMO WORKBOOK
CHAPTER
5
TIME Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Tell the time by the sequence of a day.
Name of days in a week in order.
Name of months in a year in order.
Number of days in each month.
Calendar reading.
MATHEMATICAL REASONING
1. You wake up to go to school in the __________. (A) Evening (B) Night (C) Morning (D) Afternoon 2. How many days are there in 3 weeks? (A) 14 (B) 7 (C) 21 3. If only all Saturdays and Sundays are holidays, then in the month of July 2013 how many holidays will we get? (A) 9
(B) 7
(C) 13
(D) 8
(D) 28 July 2013
Sun
Mon
Tue
Wed
Thu
Fri
Sat
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
4. If today is Monday, then day before yesterday was ______. (A) Sunday (B) Saturday (C) Tuesday (D) Friday CLASS 1
31
5. In the year 2012, February had ______ days. (A) 30 (B) 31 (C) 29 (D) 28 6. Which activity do you do in the morning?
(A)
(B)
Sleeping
Bathing School
(C)
Playing
(D) Coming to home from school
7. Which day of the week is always a holiday? (A) Tuesday (B) Sunday (C) Friday (D) Thursday 8. How many months of a year have 30 days? (A) 4 (B) 6 (C) 5 (D) 8 9. What is the 10th month of a year ? (A) July (B) October (C) August (D) September 10. If Kartik’s birthday is just before fourth Sunday of March 20XX, then when will Kartik celebrate his birthday? (A) March 28 (B) March 27 (C) March 26 (D) March 29 32
March 20XX S
M
T
W
Th
F
S
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
IMO WORKBOOK
11. _____ comes after July and before November. (A) January (B) December (C) June (D) September 12. Which of the following months comes just before the ninth month of a year? (A) August (B) September (C) October (D) July 13. Which month has neither 31 days nor 30 days? (A) March (B) May (C) June (D) February 14. How many months lie between second and tenth month of a year? (A) 6 (B) 5 (C) 4 (D) 7 15. Which activity do you do at night?
(A)
(B)
Sleeping
(C)
Going to school
Playing
(D)
Picnic EVERYDAY MATHEMATICS
16. Which date is just after the third Tuesday of October 20XX? (A) October 19 (B) October 18 (C) October 20 (D) October 27 CLASS 1
October 20XX S
M
T
W
Th
F
S
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
33
17. We go to bed when stars are shining in the sky. It must be ______. (A) Evening (B) Night (C) Afternoon (D) Morning 18. The minute hand is pointing at _____ minutes. (A) 7 (B) 35 (C) 70 (D) 20 19. Which activity can be done in 1 minute? (A) Painting a wall (B) Sharpening a pencil (C) Playing football (D) Going to school 20. Which activity do you do in the evening?
(A)
(B)
Bathing
Playing
(C)
(D)
Going to school
Lunch
ACHIEVERS SECTION (HOTS)
21. If Varun’s birthday is 3 days before third Friday of August 20XX, then on which day will he celebrate his birthday? (A) 12th August (B) 11th August (C) 5th August (D) 4th August 34
August 20XX Sun
Mon
Tue
Wed
Thu
Fri
Sat
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
IMO WORKBOOK
22. If day before yesterday was Thursday, then day after tomorrow will be ______. (A) Friday (B) Monday (C) Saturday (D) Sunday 23. Which of the following images shows CORRECT sequence of activities in a day?
(A)
(B)
(C)
(D) Eating
Playing
Going to bed
Brushing
24. If a month has 28 days, then how many weeks will be there in that month? (A) 2 (B) 3 (C) 5 (D) 4 CLASS 1
35
25. Sonika’s examination started on second of this month and lasted for 14 days excluding Sundays. Her examination nished on ______. (A) Sunday (B) Monday (C) Saturday (D) Friday
December 20XX Sun
Mon
Tue
Wed
Thu
Fri
Sat
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
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
SOF OLYMPIAD TRAINER ONLINE PREPARATION FOR OLYMPIADS
SOF OLYMPIAD TRAINER OFFERS
Now Available On
Free Sample Papers Chapterwise Question Bank Previous Years’ Papers Mock Test for 1st Level and 2 nd Level
Crosswords Quizzes Trivia All India Test Series
SOF OLYMPIAD TRAINER BENEFITS
Real time testing Time management Complete analysis Performance report Improves speed and accuracy
Forum to discuss your queries Same level of questions Leader board to compete with peer group and much more
visit www.sofolympiadtrainer.com
36
IMO WORKBOOK
CHAPTER
6
MONEY Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Identification of coins and notes.
Count the money shown.
Use of money in simple shopping activities.
MATHEMATICAL REASONING
1. Amount shown here is ______. (A) ` 20 (B) ` 50 (C) ` 35 (D) ` 55 SPECIMEN
SPECIMEN
SPECIMEN
SPECIMEN
2. Which one of the following sets of coins/notes is worth 75 rupees? (A) (B) (C)
CLASS 1
SPECIMEN
SPECIMEN
SPECIMEN
20
50
50
SPECIMEN
20
SPECIMEN
10
SPECIMEN
20
20
5
(D)
SPECIMEN
50
37
3. _______ is enough to buy this toy. (A) ` 10 (B) ` 20 (C) ` 100 (D) ` 25 4. Mehul wants to exchange his ` 10 with some coins. Which set of coins can he take? (A)
1
5
1
5
(B)
1 2
2
(C)
1
5
(D)
2
2
2
2
1
5. How much amount is shown below? SPECIMEN
(A) ` 155
SPECIMEN
(B)
`
150
(C)
SPECIMEN
`
160
(D)
`
170
6. Which toy has the maximum cost? (A)
(B)
(C)
7. Which amount is less than (A)
SPECIMEN
`
(D)
50? (B)
SPECIMEN
100
SPECIMEN
(C)
(D)
SPECIMEN
50
500
N I M E E C S P
8. Amount shown here is ______. (A) ` 72 (B) ` 82 (C) ` 12 (D) ` 62 SPECIMEN
38
SPECIMEN
IMO WORKBOOK
9. Joy pays
`
70 for the
and _________ .
(A)
(B)
(C)
(D)
` 55
10. Hridaan wants to buy
. He has
more money does he need to buy the toy? (A) ` 15 (B) ` 10 (C) ` 5
`
40. How much
(D)
`
12
DIRECTION (11-12) : Look at the price of each article and answer the following questions.
` 2
` 5
` 1
` 3
` 1
` 2
11. How much do you have to pay to buy an ice-cream and two toffees? (A) ` 5 (B) ` 3 (C) ` 7 (D) ` 6
12. How much do you have to pay to buy three pencils and a sharpener? (A) ` 6 (B) ` 4 (C) ` 3 (D) ` 5 CLASS 1
39
13. Which one of the following shows the greatest amount? (A)
SPECIMEN
(B)
SPECIMEN
(C)
5
1
5
5
SPECIMEN
N E M I C E P S
SPECIMEN
10
SPECIMEN
N E M I C E P S
2
5
2
1
(D) N E M I C E P S
N E M I C E P S
2
2
14. How many 10-rupee notes make ` 80? (A) 8 (B) 80 (C) 10
(D) 4
15. Which of the following items can be bought from the given amount of money? SPECIMEN
50
SPECIMEN
50
(B) ` 200
` 125
(C)
40
20
` 105
` 150
(A)
SPECIMEN
(D)
IMO WORKBOOK
EVERYDAY MATHEMATICS
16. Aditya has ` 20 with him. He gives ` 5 to Aastha and another ` 5 to Atharva. How much money is left with Aditya now? (A) ` 10 (B) ` 15 (C) ` 5 (D) ` 20 17. Mona’s father gave her ` 100 as a birthday gift. Which of the following toys can she buy? (B)
(A)
` 120
(C)
(D)
18. If one pencil costs ` 20, how much money does Riya need to pay for 2 pencils? (A) ` 35 (B) ` 30 (C) ` 40 (D) ` 20 19. Mohan gave ` 20 to buy this toy. How much money will he get back? (A) ` 2 (B) ` 10 (C) ` 5 (D) ` 1 20. If Rahul has
`
20, then he cannot buy
` 25
(A)
(B)
(C)
(D)
CLASS 1
41
ACHIEVERS SECTION (HOTS)
21. Sheetal has a
`
35 with her. She wants to buy a
and a packet of
,
. After shopping, money left with
her is ____.
(A) ` 10
(B)
`
15
`
5
`
10
(C)
`
`
5
`
10
15
(D)
`
3
22. Which of the following sets with least number of coins/notes will make up ` 85? (A) 8 ten-rupees coins and 1 ve-rupees coin (B) 1 fty-rupees note, 1 twenty-rupees note, 1 ten-rupees note and 1 ve-rupees coin (C) 4 twenty-rupees notes and 1 ve-rupees coin (D) 1 fty-rupees note, 3 ten-rupee notes 23. One doll costs ` 20. Find the maximum number of dolls Mitali can buy for ` 90. (A) 2 (B) 3 (C) 4 (D) 5 24. Study the following currency and select the INCORRECT statement. SPECIMEN
100
SPECIMEN
20
SPECIMEN
10
(A) ` 100 is the bigger currency note. (B) Total amount shown here is ` 130. (C) ` 10 is the smallest currency note. (D) ` 20 is three times bigger than ` 10. 42
IMO WORKBOOK
25. Aditya has ` 200. He wants to purchase four similar items. Which item can he purchase from this shop, so that he has no money left with him? (A) Car (B) Bat (C) Ball (D) Doll
Toy shop `
0
` 65
` 9
5 0 5
` 5
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
CLASS 1
43
CHAPTER
7
GEOMETRICAL SHAPES Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Identify the shapes and solids by their names and drawings.
Properties of shapes ‘rolling, sliding’.
Identify the solid objects used to draw a shape.
Identify the shape to be used in the formation of a solid.
Counting the shapes and solids in a figure.
MATHEMATICAL REASONING
1. The name of shape of the shaded part is _____. (A) Rectangle (B) Triangle (C) Circle (D) Square 2. There are ____ more circles than the triangles. (A) 2 (B) 3 (C) 4 (D) 0 3. Arrange the given balls from the biggest to the smallest. (A) P, Q, R, S (B) Q, R, P, S (C) S, P, R, Q (D) Q, R, S, P 44
IMO WORKBOOK
4. Total number of circles in the given gure is ______. (A) 12 (B) 11 (C) 16 (D) 15
5. Objects _______ are outside the box.
(A)
(B)
(C)
(D)
6. ______ shape is a triangle. (A)
(B)
(C)
(D)
7. The gure is made up of how many circles?
(A) 7 CLASS 1
(B) 8
(C) 9
(D) 10 45
8.
can be traced using _______. (A)
(B)
(C)
(D)
9. Which of the following looks like a cylinder? (A)
(B)
(C)
(D)
10. Which gure is not shown here? (A) Cone (B) Cylinder (C) Sphere (D) Cuboid
11. Name the shape which is unshaded below?
(A) Triangle
(B) Square
(C) Rectangle
(D) Circle
12. ______ is on the table. (A) (B) (C)
(D)
46
IMO WORKBOOK
13. _______ looks like a cube. (A)
(B)
(C)
(D)
14. Which shape is not shown here?
(A) Rectangle
(B) Circle
(C) Triangle
(D) Square
15. Which shapes make up this arrow? (A) Triangle, Rectangle (C) Rectangle, Circle
(B) Circle, Oval (D) Oval, Triangle
EVERYDAY MATHEMATICS
16. A square has _______ number of curved lines. (A) 4 (B) 3 (C) 5 (D) 0 17. The classroom board shown in the gure is used by teachers to write. The shape of the board is _______. (A) Triangular (B) Rectangular (C) Star (D) Diamond 18. The false statement is(A) Shape of chalk piece is cylindrical (B) Birthday party caps are cone-shaped (C) A door is mostly rectangular in shape (D) A window is always curved. 19. There are 5 squares, 4 triangles and 2 rectangles in Sonu’s drawing. Which of the following could be Sonu’s drawing? CLASS 1
47
(A)
(B)
(C)
(D)
20. John has 4 groups of shapes.
In which group will he put a ring? (A) P (B) Q (C) R
(D) S
ACHIEVERS SECTION (HOTS)
21. Total number of triangles and squares in the boxes are _______. (A) 13 (B) 9 (C) 15 (D) 18 48
IMO WORKBOOK
22. In which of the following groups the shape Group P
Group Q
(A) Both P and Q (C) P, Q and S
can be placed?
Group R
Group S
(B) Only P (D) P, Q, R and S
23. Select the CORRECT match of the shape that can be drawn, using the given solid object. (A)
–
(B)
(C)
–
(D)
–
–
24. There are _______ straight and _______ curved lines in the given gure.
(A) 34, 9 CLASS 1
(B) 35, 9
(C) 34, 10
(D) 35, 10 49
25. Match the shapes in column-1 with their names in column-2. Column-1
Column-2
P.
(1) Triangle
Q.
(2) Square
R.
(3) Circle
S.
(4) Rectangle
(A) P (B) P (C) P (D) P
(3); (2); (2); (3);
Q Q Q Q
(2); (3); (3); (2);
R R R R
(1); (1); (4); (4);
S S S S
(4) (4) (1) (1)
JJJ
Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
50
IMO WORKBOOK
CHAPTER
8
LOGICAL REASONING Do You Know What topics we will cover in this chapter?
Yes! The topics are :
Number pattern
Next term in the number pattern Missing term in the number pattern
Figure pattern
Comparison
Next figure in the figure pattern Missing figure in the figure pattern
Inside/outside; Rolling/sliding; on/under; above/below; top/bottom etc.
Measuring units.
Finding the odd term/figure.
Identifying the shape to complete the given figure pattern.
Ranking test : Left/right/first/last
Analogy : Finding the relation between given pair of figures or terms to find the missing figure or term.
Grouping : Making the groups of objects, Identifying the group in which given shape lies.
1. Find the next gures in the gure pattern given below.
(A)
(B)
(C)
(D)
CLASS 1
51
2. If Sonu’s summer holidays started from 2nd Friday of June 20XX, then on which date did Sonu’s summer holidays start? (A) 10th June (B) 11th June (C) 17th June (D) 16th June
June 20XX S
M
T
W
Th
F
S
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
3. 6th ice-cream is before ice-cream ____________. (A) E (B) D (C) G (D) B 1 ice-cream st
4. Shape missing in the given gure is ____________. (A) Triangle (B) Circle (C) Rectangle (D) Square 5. Select the gure that is same as the given Figure (X). (A)
(B)
(C)
(D)
6. Priya needs ________ 5 rupees and ________ 1 rupee coin to buy the chocolate. (A) One, Four 1 2 (B) Two, Two ` (C) Three, Two (D) Two, Four 52
IMO WORKBOOK
7. Which gure will complete the given gure? (A)
(B)
(C)
(D)
8. Which number comes next in the given number pattern? 10
(A) 45
15
20
(B) 50
25
30
?
35
(C) 55
(D) 40
9. Which shape can be put together with shape R to make a rectangle? (A)
(B)
(C)
(D)
Shape R
10. Which of the following gifts is the rst gift? P
Q
R
S
LAST
(A) S
(B) R
(C) Q
(D) P
11. Identify the object which is under the table and can slide also. (A) (B) (C) (D) CLASS 1
53
12. Complete the number pattern.
(A)
(B)
(C)
(D)
13. How many total number of squares and circles are there in the given gure? (A) 29 (B) 26 (C) 25 (D) 27
14. There are ____________ groups of 3 strawberries.
(A) 5
(B) 3
(C) 4
(D) 6
15. Which ball is the lightest? Q R
P P
P (A) P (C) R 54
(B) Q (D) Can’t be determined IMO WORKBOOK
16. Find the odd one out. (A)
(B)
(C)
(D)
17. How many balls are outside the basket? (A) 8 (B) 6 (C) 7 (D) 5 18. If (A)
is to
, then (B)
is to ____________. (C)
(D)
19. Which letter is fourth from the left end in the given word?
Right (A)
(B)
(C)
(D)
20. If yesterday was Monday, then tomorrow will be ________. (A) Tuesday (B) Wednesday (C) Thursday (D) Sunday 21. ______ is the thickest brick and ______ is the thinnest brick.
P
(A) Q, R CLASS 1
(B) P, R
Q
R
(C) P, Q
S
(D) S, P 55
22. Select the odd one out. (A)
7+2
(B)
4+5
(C)
2+8
(D)
6+3
23. There are _____ birds sitting on the branch. (A) 9 (B) 3 (C) 7 (D) 6 24. To which group does the shape
belong?
Group P Group Q Group R (A) P and Q (B) Q and R (C) P and R (D) P, Q and R 25. If
is related to
, then
(A)
(B)
(C)
(D)
is related to ______.
JJJ Darken your choice with HB Pencil 1.
A
B
C
D
8.
A
B
C
D
15.
A
B
C
D
22.
A
B
C
D
2.
A
B
C
D
9.
A
B
C
D
16.
A
B
C
D
23.
A
B
C
D
3.
A
B
C
D
10.
A
B
C
D
17.
A
B
C
D
24.
A
B
C
D
4.
A
B
C
D
11.
A
B
C
D
18.
A
B
C
D
25.
A
B
C
D
5.
A
B
C
D
12.
A
B
C
D
19.
A
B
C
D
6.
A
B
C
D
13.
A
B
C
D
20.
A
B
C
D
7.
A
B
C
D
14.
A
B
C
D
21.
A
B
C
D
56
IMO WORKBOOK
2016 PAPER
S F INTERNATIONAL MATHEMATICS OLYMPIAD Each question in Achievers Section carries 2 marks, whereas all other questions carry one mark each.
LOGICAL REASONING
1. Identify the pattern followed in the given gure pattern.
A. Shape pattern C. Growing pattern
B. Colour pattern D. Repeating pattern
2. Select the odd one out.
A.
B.
C.
D.
3. The candle is kept ________ the birthday cake. A. On B. Above C. Under D. Below 4. There are ________ more circles than triangles in the adjoining gure. A. 0 B. 3 C. 2 D. 1 CLASS 1
Copyright © Science Olympiad Foundation. Printed with the permission of SOF.
57
5. Which of the following letters is second from the left end in the given word?
OLYMPIAD Right A.
A
B.
L
C.
I
D.
P
6. Which number will complete the given number pattern?
5
A. 25
10
15
20
B. 21
C.
?
30
29
D. 35
7. _________ is taller than Sidak but shorter than Latika.
Sidak
Rinki
Sanchi
Garima
Latika
A. Rinki
B. Garima
C.
D.
Sanchi
Can’t be determined
8. Which shape is NOT present in the given gure?
A. Rectangle 58
B. Square
C.
Triangle
D. Circle IMO WORKBOOK
9. Arrange the following activities in the order in which they should be followed during a day.
(1) A. (2) C. (2)
(4) → (3) →
(2) (1) → (1) →
→ →
(3) (4)
(3)
(4)
B. (1) → (2) → (3) → (4) D. (3) → (4) → (2) → (1)
10. If Amit’s birthday falls on 4 th Wednesday of September 20XX, then on which date will he celebrate his birthday? A. 23rd September B. 29th September C. 28th September D. 21st September
september 20XX s
4
m
5
t
6
W
7
th
F
s
1
2
3
8
9 10
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
MATHEMATICAL REASONING
11. Which of the following parts gives the answer greater than 20?
A. Q
B. P
12+10 P
8+9 Q
R 14+5
S 8+8
C.
R
D. S
12. Which of the following options is correct? A. 14 – 3 = 1 B. 9 – 0 = 0 C. 12 – 12 = 0 D. 7 – 1 = 8 CLASS 1
59
13.
0
1
2
3
A. 8 – 6 = 2
4
5
6
7
B. 8 – 7 = 1
8
9
C.
10
11
shows _______ .
8–2=6
D. 8 + 6 = 14
14. How many stones are there in the given gure? A. Sixteen B. Seventeen C. Eighteen D. Fifteen ) are needed to measure 5 such
15. How many paper clips ( pens? A. 50 B. 10 C. 20 D. 25
16. Which abacus shows 1 more than 76?
A.
B. T
O
C. T
O
D. T
O
T
O
17. Select the correct match.
A. B. C. D. 60
IMO WORKBOOK
18. How many more owers should be ‘ ’ to show the given subtraction sentence? ‘22 – 16’
A. 3
B. 4
C.
19. Arrange the given balloons in ascending order. A. R, P, Q, S B. P, Q, R, S C. S, Q, P, R D. S, R, Q, P
36
2
D. 1
45
P
26
Q
55
R
S
20. Which of the following options will balance the given scale? 1 kg 2 kg
5 kg
A.
2 kg
?
5 kg
B. 18 kg
C. 15 kg
D. 12 kg
10 kg
EVERYDAY MATHEMATICS
21. Priya’s weight is 5 kg more than the weight of Nitika. If Nitika’s weight is 53 kg, then nd the weight of Priya. A. 58 kg B. 48 kg C. 55 kg D. 60 kg CLASS 1
61
22. If Rajeev removes 4 bottles from the given bottles, then the remaining number of bottles will be _________.
A. 28
B. 22
C.
16
D. 24
23. Samaksh had 12 toffees.
His mother gave him 6 more toffees.
How many toffees does he have now? A. 18 B. 6 C. 16 D. 17 24. There were 12 birds sitting on the branch of a tree. How many ew away, if 4 birds are left on the branch?
A. 9
B. 7
C.
8
D. 6
25. The lengths of Sam’s and Trishu’s pencils are shown here. Find the total length of their pencils. Trishu's pencil Sam's pencil 1
A. 10 units C. 12 units 62
= 1 unit
B. 14 units D. 13 units IMO WORKBOOK
26. Bunny sells 4 oranges on Monday and 5 oranges on Tuesday. Nidhi sells 12 oranges on Monday and 5 oranges on Tuesday. How many oranges do they sell altogether on Monday? A. 16 B. 26 C. 17 D. 25 27. Manya has ` 90. Which of the following things can she buy, if she spends all her money? `
40
+
A.
`
C.
`
`
20
50
B.
`
70
`
+
20
D.
`
+
20
60 `
20
+
28. Rinki wants to tie the given crayons in groups of 4. How many equal groups can be formed?
A. 5 C. 4
B. 6 D. 7
29. Mini bought 16 books. Kavleen bought 48 books. How many less books did Mini buy than Kavleen? A. 29 B. 48 C. 64 D. 32 30. Aman scored 16 runs. Mihir scored 12 runs more than Aman. How many runs did they score altogether? A. 28 B. 26 C. 30 D. 44 CLASS 1
63
ACHIEVERS SECTION
31. Select the correct statement. A. The difference between the number of apples of Reeti and Reetu is 8. Reeti Reetu Reeta Reema B. The difference between the number of apples of Reetu and Reeta is 4. C. The difference between the number of apples of Reema and Reetu is 7. D. The difference between the number of apples of Reeti and Reeta is 2. 32. Mohit had 20 candies. He gave 10 candies to Samrath and ate 4 candies. How many candies are left with him now?
A. 6
B. 16
C.
8
D. 10
33. One teddy bear costs ` 30. How many such teddy bears can Trishika buy for ` 100? A. 5 B. 3 C. 4 D. 6 34. Match the following: Column 1
64
Column 2
(a) 34 + 53
p. 47
(b) 12 + 25
q. 57
(c) 21 + 36
r. 37
(d) 22 + 25
s. 87 IMO WORKBOOK
A. B. C. D.
(a) (a) (a) (a)
q, → s, → s, → q, →
(b) (b) (b) (b)
p, (c) → r, → r, (c) → q, → q, (c) → r, → s, (c) → r, →
(d) (d) (d) (d)
→ → → →
s p p p
35. Fill in the blanks. Bird (1) is before the bird Q, bird (2) bird R and bird R is (3) the bird S.
P
A. B. C. D.
(1) Q P P Q
(2) R S S R
Q
R
is after the
S
(3) Before After Before After JJJ
Darken your choice with HB Pencil
CLASS 1
65
HINTS & EXPLANATIONS 1
Number Sense
1. (B) : The number which comes in between 72 and 74 is 73 2. (D) : Counting by 2’s means adding 2 to the previous number. So, if we start from number 0, then +2
+2
+2
3. (B) : The number that Latika holds = 2 tens 3 ones = 23 The number that Rohan holds = 2 tens 4 ones = 24 The number that Meeku holds = 3 tens 2 ones = 32 The number that Priya holds = 3 tens 0 ones = 30 Largest number = 32 So, Meeku holds the largest number. 4. (B) : Place 9 beads at ones place and 2 beads at tens place as shown. So, the number comes to be 29
5. (D) : The correct match for option (D) is 6. (B) : Descending order of 40, 30, 10, 20 is 40, 30, 20, 10 7. (D) : Number of balloons = 8 So, the abacus which shows 0 beads at tens place and 8 beads at ones place is the answer. 8. (B) : The number which comes before 58 and after 56 is 57 9. (D) : The number on the tree is Thirty nine. 10. (D) : The abacus has 4 beads at tens place and 7 beads at ones place. Hence, the number has 4 tens 7 ones. 11. (B) : The number line represents counting by 4’s, since 4 is being added to the previous number. +4
0 1 9 8 7 6 5 4 3 2 1
2 1 T
66
O
Forty three.
43
+4
+4
2 3 4 5 6 7 8 9 10 11 12 13 14
12. (A) : Jar in option (A) has 4 candies. Jar in option (B) has 6 candies. Jar in option (C) has 8 candies. Jar in option (D) has 5 candies. So, Jar in option (A) has least number of candies. IMO WORKBOOK
13. (C) : Option (C) shows Fifteen marbles. So, option (C) is INCORRECT. 14. (D) : The given set has six dots. Option (A) contains 5 owers. Option (B) contains 6 stars. Option (C) contains 6 marbles. Option (D) contains 7 balls. So, option (D) has more objects than the given set of dots. 15. (C) : The number lying between 30 and 40 and having 7 at ones place is 37 So, rabbit in option (C) represents 37. 16. (B) : Number greater than 5 but less than 7 is 6. Tree in option (B) has 6 mangoes. 17. (A) : She has 4 flowers and 3 ice-creams. So, owers are more than ice-creams. 18. (B) : There are 8 birds in the given picture. 19. (B) : Bucket in option (B) has least quantity of liquid. 20. (D) : Ria has 4 apples. Radhika has 6 apples. Rupal has 8 apples. Rupali has 6 apples. So, Rupal has the maximum number of apples. 21. (D) : Option (D) has 19 cookies. So, option (D) is INCORRECT. 22. (B) : Cap P is before cap Q. Cap T is after cap S. Cap R is between the cap Q and cap S . Cap S is before the cap T. CLASS 1
23. (D) : P. 2 tens 6 ones = 26 Q. 3 tens 4 ones = 34 R. 4 tens 3 ones = 43 So, P → (2); Q → (3); R → (1). 24. (D) : Jumps by 3’s means adding 3 to the previous number. So, if the frog starts from number 0, then +3
0
1
+3
2
3
4
5
6
25. (C) : 1 more than 56 means 1 + 56 = 57 So, abacus which shows 5 beads at tens place and 7 beads at ones place is the answer. Hence, option (C) shows the number 57. 2
Addition
1. (D) : P. 8 +9 17
Q. 20 R. 12 S.13 +2 +7 +5 22 19 18 So, the order is 22, 19, 18, 17 or Q, R, S, P. 2. (A) : 7 6 5 4 3 2 1
3 2 1
= 73,
= 12 1
2 1
So, 73 + 12 = 85 3. (B) : 10 +0 10 Addition of zero does not change the number. 67
4. (C) : ( A ) 2 0 o n e s + 3 t e n s = 20 + 30 = 50 (B) 2 tens + 3 tens = 20 + 30 = 50 (C) 2 tens + 3 ones = 20 + 3 = 23 (D) 2 ones + 3 tens = 2 + 30 = 32 Hence, option (C) complete the given number bond. 5. (A) : Number of owers in box P =8 Number of owers in box Q = 5 Total number of owers = 8 + 5 = 13 6. (D) : 43 + 36 = 79 7. (D) : (A) 50 (B)50 (C)60 (D)50 +6 +9 +12 +3 56 59 72 53 The smallest number among 56, 59, 72 and 53 is 53 So, 50+3 is the smallest value. 8. (A) :
0
Ist jump (3 steps)
1
2
IInd jump (2 steps)
3
4
5
6
7
So, boy reaches at 5th point. 9. (C) : 11 +3 14 To represent 14, we should have 4 beads in ones place and 1 bead in tens place in the abacus. So, abacus in option (C) shows 14 10. (B) : = 35
= 43, T
O
So, 43 + 35 = 78 68
T
O
11. (B) :
8 + 7 15 So, the missing number is 7
12. (D) : Number of owers in set Q = 12 Number of owers in set R = 23 Total number of owers in set Q and set R = 12 + 23 = 35 13. (A) : Number of owers in set P = 14 Number of owers in set Q and set R = 35 Total number of owers in set P, set Q and set R = 14 + 35 = 49 14. (C) : 73 + 22 = 95
So, option (C) is Incorrect. 15. (D) : (A) 13 + 16 = 29 (B) 17 + 11 = 28 (C) 23 + 12 = 35 (D) 24 + 20 = 44 44 is greater than 35. Hence, option (D) is correct. 16. (D) : Number of
Number of Number of
= 5 = 4 = 20
Total number of animals = 5 + 4 + 20 = 29 17. (D) : Number of candies Rahul has = 34 Number of candies Rahul bought =5 IMO WORKBOOK
Total number of candies = 34 + 5 = 39 18. (A) : Number of boys = 13 Number of girls = 42 So, total number of children = 13 + 42 = 55 19. (B) : Number of hens = 8 Number of chicks = 4 Total number of birds = 8 + 4 = 12 20. (C) : Number of cupcakes bought on Monday = 12 Number of cupcakes bought on Tuesday = 10 Number of cupcakes bought on Wednesday = 34 Total number of cupcakes bought = 12 + 10 + 34 = 56 21. (D) : Number of stickers = 48 Number of children = 4
So, each child receive 12 stickers. 22. (A) :
1 +2 3 Hence, P
1 3 4 = 1 and Q = 3
23. (B) : 7 more than 10 is, 10 + 7 = 17
(B) 3 tens + 4 ones = 30 + 4 = 34 (Correct) (C) 14 ones + 5 ones = 14 + 5 = 19 (Incorrect) (D) 22 ones + 6 ones = 22 + 6 = 28 (Incorrect) 25. (B) : Number of bananas Riya has =4 Number of oranges Riya has = 6 + 4 = 10 Number of apples Riya has = 3 + 10 = 13 Total number of fruits Riya has = 4 + 10 + 13 = 27 3
Subtraction
1. (C) : 8 – 3 = 5 2. (B) : Total number of apples = 22 Number of apples crossed = 9 So, given picture represents 22 – 9 = 13 3. (A) : 2 tens 4 ones = 24 1 ten 2 ones = 12 So, 24 – 12 = 12 4. (D) : 25 – 12 = 13 Abacus in option (D) shows 25 – 12 = 13 5. (C) : Greatest number = 98 Smallest number = 17 So, required difference = 98 – 17 = 81 6. (A) : 7 less than 12 is 12 – 7 = 5 7. (B) :
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18
24. (B) : (A) 8 tens + 2 ones = 80 + 2 = 82 (Incorrect) CLASS 1
69
Hence, 6 ice-creams should be crossed to show 8 ice-creams uncrossed. 8. (A) : 78 -63 15 9. (C) : Total number of flowers = 27 = 2 tens 7 ones Number of flowers crossed = 5 = 5 ones So, 2 tens 7 ones – 5 ones is the correct subtraction sentence. 10. (D) 11. (B) : 47 – 24 = 23 12. (C) : Option (C) is incorrect because 73 – 21 = 52 13. (A) : For subtraction sentence “18 – 9”, 9 balloons should be crossed. 6 balloons are already crossed. So, 3 more balloons should be crossed. 14. (B) : (A) 62 ones – 20 ones = 62 – 20 = 42 (B) 4 tens 2 ones – 3 tens = 42 – 30 = 12 (C) 3 tens 2 ones – 2 ones = 32 – 2 = 30 (D) 5 tens 9 ones – 3 tens 2 ones = 59 – 32 = 27 So, option (B) has the value less than '27' 15. (B) : We have, 10 – 2 = 8 (A) 12 – 2 = 10 (B) 12 – 4 = 8 (C) 10 – 4 = 6 (D) 15 – 5 =10 70
So, option (B) gives same value as 10 – 2 16. (D) : Number of cookies Akansha bought = 35 Number of cookies she gave to her brother = 12 Number of cookies left with her = 35 – 12 = 23 17. (C) : Number of blue buttons = 12 Number of yellow buttons = 5 Number of yellow buttons required = 12 – 5 = 7 18. (B) : Number of frogs in the pond = 7 Number of frogs jumped out from the pond = 2 Number of frogs left in the pond =7–2=5 19. (A) : Number of candies in the box = 12 Number of candies Tanmay ate = 8 Number of candies left = 12 – 8 =4 20. (A) : Number of marbles Sonia has = 90 Total number of marbles she gave to Sneha and Tanu = 25 + 15 = 40 Number of marbles left with Sonia = 90 – 40 = 50 21. (B) :
8 -5 3 So, X = 8
9 3 6 and Y = 9
22. (D) : (1) represents 8 – 3 (2) represents 9 – 2 (3) represent 7 – 3 IMO WORKBOOK
(4) represents 9 – 5 (1) → c, (2) → d, (3) → a, (4)
b
→
23. (C) : (A) represents 10 + 5 = 20 – 10 which shows 15 = 10 (Incorrect) (B) represents 10 + 5 = 10 – 10 which shows 15 = 0 (Incorrect) (C) represents 10 + 5 = 20 – 5 which shows 15 = 15 (Correct) (D) represents 10 + 5 = 20 – 15 which shows 15 = 5 (Incorrect) 24. (B) : 49 – 10 = 39 Abacus (B) represents 3 tens 9 ones = 39 So, option (B) is correct. 25. (C) : 7 P 3 3 Q 1 7–3=3+1 4=4 So, option (C) is correct. =
4
Lengths, Weights and Comparisons
1. (D) : Balloon S has the longest string. 2. (B) 3. (A) : Nail is thinner than pen.
= 1 unit
4. (B) : +2
= 15
⇒
= 13 units
5. (C) : Length of strip P = 3 Length of strip Q = 3 Length of strip R = 4 Length of strip S = 5 So, strip S is the longest. 6. (B) : 1 represents 1 foot. Number of between two trees = 8 Therefore, distance between two trees is 8 feet. 7. (D) : 1 =2 . Therefore, height of Penguin =7 = 14 8. (D) : Length of pencil = (12 – 3) cm = 9 cm Length of strip P (9 – 1) cm = 8 cm Length of strip Q (11 – 4) cm = 7 cm Length of strip R (11 – 3) cm = 8 cm Length of strip S (11 – 2) cm = 9 cm So, strip S is as long as pencil. 9. (C) : P. Quantity of sugar is measured in Kilograms. Q. Length of door is measured in metres. R. Capacity of bucket is measured measured in litres. So, P → (2); Q → (3); R → (1) 10. (D) : 1 = 1 unit Hence, length of axe = 8 = 8 units 11. (A) : Cup P is the shortest.
⇒
CLASS 1
+ 2 units = 15 units
12. (C) : In option (C), the weighing balance is more downward for ball 71
2 than ball 1. Therefore, ball 1 is lighter than ball 2. 13. (D) : Mona is taller than Ali but shorter than Ella. 14. (C) : 1 rep resen ts 1 sp an . Hence, length of tape = 13 = 13 span 15. (C) 16. (D) : Weight of Tarun = 26 kg Kirti's weight is 5 kg less than Tarun's weight Hence, weight of Kirti = (26 – 5) kg = 21 kg 17. (A) : Length of rst comb =4 = 4 units Length of second comb =5 = 5 units Total length of both the combs = 4 units + 5 units = 9 units 18. (A) : Weight of 1 bag of our = 2kg Weight of 5 bags of our = (2 + 2 + 2 + 2 + 2) kg = 10kg 19. (D) : Height of Amit = 120 cm Bat should be 30 cm shorter than Amit's height. So, length of bat = (120 – 30) cm = 90 cm 20. (C) : Weight of one doll = 10 marbles Weight of two dolls = 10 marbles + 10 marbles = 20 marbles 21. (D) : Tree Q is taller than tree R and shorter than tree P. Tree R is the shortest and tree S is the tallest. 72
22. (D) : We have,
2
+2
So,
=4
+
=2
But weight of
= 1 unit
Hence, weight of
= 2 units
23. (A) : Wire P is the shortest and S is the longest. 24. (D) 25. (D) : Height of Paritosh = 130 cm Total height he needs to reach = 150 cm So, most suitable height for the stool = (150 – 130) = 20 cm 5
Time
1. (C) : We wake up to go to school in the morning. 2. (C) : Number of days in 1 week =7 So, number of days in 3 weeks = 7 + 7+ 7 = 21 3. (D) : Holidays in the month of July will fall on 6, 7, 13, 14, 20, 21, 27 and 28 Hence, number of holidays = 8 4. (B) :
T o day
Yesterday
Day before yesterday Mo nd ay Su nday Saturda y So, day before yesterday was Saturday. IMO WORKBOOK
5. (C) : 2012 was leap year. So, february had 29 days in year 2012.
17. (B)
6. (B)
18. (B)
7. (B) : Sunday is always a holiday. 8. (A) : 4 months of a year has 30 days. Which are April, June, September and November. 9. (B) : The 10th month of a year is October. 10. (B) : Fourth Sunday of March is on 28th March. Just before 28th March is 27 th March. So, Kartik will be celebrating his birthday on March 27. 11. (D) : September comes after July but before November. 12. (A) : Ninth month of a year is September. The month that comes just before September is August. 13. (D) : February has either 28 days or 29 days. So it has neither 30 days nor 31 days. 14. (D) : The second month of a year is February and the tenth month of a year is October. The months which lies between February and October are March, April, May, June, July, August and September. Which are 7 in number.
Date just after 19th October is 20 th October.
19. (B) : Sharpening a pencil can be done in 1 minute. 20. (B) : We play in the evening. 21. (A) : Third Friday is on 15th August. 3 Days before 15 th August is 12th August. So, Varun celebrates his birthday on 12th August. 22. (B) Day before Yesterday yesterday Thursday
Friday
Today
Tomorrow
Saturday Sunday
Day after tomorrow Monday
23. (A) 24. (D) : Number of days in 1 week =7 If a month has 28 days = (7 + 7 + 7 + 7) days = 4 weeks. So, there will be 4 weeks. 25. (B) : S o n i k a ' s e x a m i n a t i o n starts on 2 nd of December which is Friday. Her exams lasts for 14 days excluding Sundays. So, her examination finishes on 18th of December which is Monday. 6
Money
15. (A) : We sleep at night.
1. (D) : Amount shown = ` 20 + ` 20 + ` 10 +
16. (C) : Third Tuesday of October is on 19th October.
2. (B) : Amount shown in option (A) = ` 20 + ` 20 + ` 20 + ` 5 = `65
CLASS 1
`
5=
`
55
73
Amount shown in option (B) = ` 50 + ` 20 + ` 5 = ` 75 Amount shown in option (C) = ` 50 + ` 10 + ` 5 = ` 65 Amount shown in option (D) = ` 50 + ` 5 + ` 5 + ` 5 = ` 65 So, option (B) shows an amount worth ` 75 3. (C) : The cost of the toy is ` 50, so one should have money equal to or more than ` 50 to buy the toy. Therefore amount in option (C) is enough to buy the given toy. 4.
(B) : (A) ` 1 1 + ` 1 1 + ` 5 5 + ` 2 = ` 9. 9. (B) ` 5 + ` 2 + ` 2 + ` 1 = ` 10 (C) ` 5 + ` 2 + ` 1 = ` 8 (D) ` 2 + ` 2 + ` 1 = ` 5 Hence, option (B) is correct.
5. (A) : Amount shown = ` 5 + ` 50 50 + ` 100 100 = ` 155 6. (A) : Toy in option (A) costs the most. 7. (A) : ` 20 is less than 8. (D) : Amount shown = ` 50 + ` 10 + ` 2 =
`
50
62 9. (B) : Amount Joy pays = ` 70 Cost of doll = ` 50 Amount left with him = ` 70 – ` 50 = ` 20 He is left with ` 20. So, he can buy the pencil box. 10. (A) : Cost of the toy = ` 55 Amount of money Hridaan has = ` 40 So, amount of money Hridaan needed to buy the toy = ` 55 – ` 40 = ` 15 74
`
11. (C) : Cost of an ice-cream = ` 5 Cost of toffee = ` 1 Cost of 2 toffees = ` 1 + ` 1 = ` 2 So, total amount to pay to buy an ice-cream and 2 toffees =`5+`2=`7 12. (D) : Cost of 1 pencil = ` 1 Cost of 3 pencils = ` 1 + ` 1 ` 1 =`3 Cost of one sharpener = ` 2 Total amount to pay for buying 3 pencils penc ils and a sharpener sharpener =`3+`2=`5 13. (C) : (A) ` 5 + ` 5 + ` 1 = ` 11 (B) ` 5 (C) ` 10 + ` 5 + ` 2 = ` 17 (D) ` 2 + ` 2 + ` 2 + ` 2 + ` 1 = ` 9 So, option (C) shows the greatest amount. 14. (A) : ` 80 = ` 10 + ` 10 + ` 10 + ` 10 + ` 10 + ` 10 + ` 10 + ` 10 So, 8 ten-rupee notes makes ` 80 15. (B) : Given amount = ` 50 + ` 50 5 0 + ` 20 = ` 120 Among the options only toy car costs less than ` 120 So, toy car can be bought from the given amount of money. 16. (A) : Total amount Aditya had = ` 20 Total amount he gave to Aastha and Atharva = ` 5 + ` 5 = ` 10 So, amount left with Aditya = ` 20 – ` 10 = ` 10 17. (B) : Amount Mona's father gave her = ` 100 She can buy the toy which costs ` 100 or less than ` 100. So, she can buy the toy in option (B) IMO WORKBOOK
18. (C) : Cost of 1 pencil = ` 20 Hence, amount Riya needs to pay for 2 pencils = ` 20 + ` 20 = ` 40 19. (C) : Money given by Mohan to buy the toy = ` 20 Cost of toy = ` 15 Amount of money he gets back = ` 20 – ` 15 = ` 5 20. (A) : Amount Rahul has = ` 20 He cannot buy the toy costs more than ` 20 So, he cannot buy the toy in option (A) 21. (B) : Total amount Sheetal has = ` 35 Cost of pencil = ` 15 Cost of eraser = ` 5 Cost of packet of chips = ` 10 Amount spent by Sheetal = ` 15 + ` 5 + ` 10 = ` 30 So, money left with her = ` 35 – ` 30 = ` 5 22. (B) : Option (B) represents least number of coins/notes that will make up ` 85 23. (C) : Cost of 1 doll = ` 20 Amount of money Mitali has = ` 90 ` 90 = ` 20 + ` 20 + ` 20 + ` 20 + ` 10 So, Mitali can buy maximum 4 dolls in ` 90 24. (D) : Option (D) is incorrect because ` 20 is two times bigger than ` 10. 25. (A) : Total Amount Aditya has = ` 200 Cost of one car = ` 50 CLASS 1
Cost of 4 cars = ` 50 + ` 50 + ` 50 + ` 50 = ` 200 So, Aditya can purchase four cars, so, that he has no money left. 7
Geometrical Shapes
1. (C) : The shaded part in the gure is circle. 2. (D) : There are 3 circles in the clown’s cap and 1 circle in clown’s face. So, there are total 4 circles. And total number of triangles = 4 3. (B) : The order of balls from biggest to smallest is Q, R, P, S. 4. (C) Outside Inside
5. (C) :
6. (A) : Triangle is a plane gure with 3 straight lines. The only gure present in the question with 3
straight lines is 7. (B) :
2
. 3 4
1 5
6 7 8
The number of circles in the gure =8 8. (C) : Circle can be traced using Cylinder. 75
9. (D) : Cylinder is
similar to
which is
1
2
9
22. (C) Cone
Cylinder
Sphere
Cuboid
So, clearly cuboid is not shown in the given gure. 11. (C) : 'Rectangle' is unshaded . 12. (B) :
is on the table.
13. (B) 14. (A) : Rectangle is not shown in the given gures. 15. (A) : The arrow is made up of a triangle and a rectangle. 16. (D) 17. (B) : The shape of board shown in gure is rectangular. 18. (D) : The shape of window is not always curved. 19. (B) : Option (B) has 5 squares, 4 triangles and 2 rectangles. So, option (B) is Sonu's drawing. 20. (B) : Since, the shape of a ring is circle, so John will put the ring in group Q. 21. (A) :
is called a triangle and
is called a square. So, total number of triangles and squares in the boxes are 13 76
11
12
5
4
10. (D) :
13
7
6
3
.
10
8
23. (C)
24. (D) : Number of straight lines = 35 Number of curved lines = 10
Square
25. (C) : P.
Q.
Circle
R.
Rectangle
S.
Triangle 8
Logical Reasoning
1. (D) : The pattern repeat itself after 4 th figure. So, the next
gures are 2. (A) : 2nd friday is on 10 June. So, Sonu's summer holidays starts from 10 June. th
th
3. (C) : 6 ice-cream is ice-cream F and it is before ice-cream G. th
4. (D) : Rectangle Triangle Circle
Therefore, square is missing in the gure. IMO WORKBOOK
5. (B) : Figure in option (B) is same as Figure (X). 6. (B)
Total number of squares and circles = 17 + 10 = 27 14. (A) :
7. (B) :
8. (D) :
10
15
+5
20 +5
25 +5
30 +5
35 +5
40 +5
9. (B) :
15. (B) : The order of balls from heaviest to lightest is R, P and Q So, Q is the lightest.
R 10. (A) : Gift S is the rst gift.
is under the table and
11. (C) :
Hence, there are 5 groups of 3 strawberries in each.
sliding also.
16. (B) : Except option (B), number of lines inside the gure is equal to number of sides of the gure. 17. (B)
12. (C) : The pattern followed as
18. (A) : From 13. (D) :
C9
C8
S13
S10
S15 S C4 C5
S8
C3
S2
C6 C7
S3
C2
S6
Number of squares = 17 Number of circles = 10 CLASS 1
19. (C) : Left
S1
12
S9
S7
C1
S16 S17
S11
the
inner shape large and become outer shape, outer shape reduce in size and become inner shape.
C10
S14
to
Hence, left end. 20. (B) :
S4
S5
is the fourth from the
Yesterday Today Monday Tuesday
Tomorrow Wednesday
21. (D) : S is the thickest brick and P is the thinnest brick. 22. (C) : Except option (C) sum of numbers is 9. 77
23. (B) : There are 3 birds sitting on the branch.
7. (C) : Rinki, Sanchi, Garima, Latika all are taller than Sidak. But, Sanchi is taller than Sidak and shorter than Latika.
24. (C) :
8. (B) 9. (C) : Correct order of given activities is : (2) → (3) → (1) → (4)
Group P
10. (C) : 4 Wednesday of September 20XX is on 28 . So, Amit's birthday falls on 28 September. th
th
th
Group Q
Group R
25. (B) 10th S F International Mathematics Olympiad
1. (C) : Given figures shows the growth of insect. So, it is a growing pattern. 2. (D) : Alphabets in options A, B and C are made up of straight lines. 3. (A) : Candle is kept on the birthday cake. 4. (A) : Number of circles = 9 Number of triangles =–9 Number of circles more than triangle = 0 5. (B) : 6. (A) :
OLYMPIAD Left Right 5
10 +5
78
15 +5
20 +5
25 +5
30 +5
11. (B) : Part P = 12 + 10 = 22 Part Q = 8 + 9 = 17 Part R = 14 + 5 = 19 Part S = 8 + 8 = 16 Hence, Part P gives answer greater than 20. 12. (C) : A. 14 – 3 = 11 is not equal to 1 B. 9 – 0 = 9 is not equal to 0 C. 12 – 12 is equal to 0 D. 7 – 1 = 6 is not equal to 8 13. (C) : Given gure shows, 8 – 2 = 6 14. (B) 15. (A) : Number of paper clips needed to measure 1 pen = 10 Number of paper clips needed to measure 5 such pens = 10 + 10 + 10 + 10 + 10 = 50 16. (B) : 1 more than 76 is 77 Abacus in option B shows 77 17. (B) : A. 105 > 150 B. 200 = 200 C. 40 < 40 D. 100 = 90
(Incorrect) (Correct) (Incorrect) (Incorrect) IMO WORKBOOK
18. (C) : Total number of owers = 22 Number of owers to be crossed to show ‘22 – 16’ = 16 Number of owers already crossed = 14 Number of more owers to be crossed = 2
26. (A) : Number of oranges Bunny sells on Monday = 4 Number of oranges Nidhi sells on Monday = 12 Total number of oranges they sells altogether on Monday = 4 + 12 = 16
19. (A) : Ascending order of given balloons is 26, 36, 45, 55 or R, P, Q, S
27. (C) : A. ` 40 + ` 20 = ` 60 B. ` 50 + ` 20 = ` 70 C. ` 70 + ` 20 = ` 90 D. ` 60 + ` 20 = ` 80 So, Manya buys items given in option C.
20. (B) : Given scale shows = 5 + 5 + 2 + 2 + 1 = 15 kg Option B shows 15 kg weight. 21. (A) : Weight of Nitika = 53 kg Priya is 5 kg heavier than Nitika. So, weight of Priya = 53 + 5 = 58 kg
28. (A) : Total number of crayons = 20
22. (D) : Total number of bottles = 28 After removing 4 bottles Number of remaining bottles = 28 – 4 = 24 23. (A) : Number of toffees Samaksh had = 12 After his mother gave him 6 toffees, number of toffees he had = 12 + 6 = 18 24. (C) : Number of birds sitting on the branch = 12 Number of birds left after some ew = 4 Number of birds flew away = 12 – 4 = 8 25. (D) : Length of Sam's pencil =6 = 6 units Length of Trishu's pencil =7 = 7 units Total length of both pencils = (6 + 7) units = 13 units. CLASS 1
Hence, 5 groups of having 4 crayons in each are formed. 29. (D) : Number of books Kavleen bought = 48 Number of books Mini bought = 16 Number of less books Mini bought than Kavleen = 48 – 16 = 32 30. (D) : Number of runs Aman scored = 16 79
