150 sample questions for Class 2 math Olympiad

IMO Maths Olympiad Sample Questions  For class 2 2024-25


Welcome to Math Olympiads  a blog designed to inspire young minds with 150 unique math Olympiad questions tailored for Class 2 students. These questions aim to build a strong foundation in math through engaging and age-appropriate challenges. Covering key concepts like basic arithmetic, logical reasoning, and problem-solving, this collection encourages children to think critically and develop essential math skills early on. 

Perfect for parents, teachers, and students, this set of sample questions offers a fun and structured way to prepare for math competitions or simply boost classroom learning. Each question is designed to foster confidence, curiosity, and a love for math in young learners, making it an invaluable resource for those looking to excel in early math skills. Dive into the blog to support your child’s learning journey and empower them to tackle math with confidence.





Class 2 Math Olympiad Syllabus Overview


Boost math skills in young learners with our structured syllabus for the Class 2 International Math Olympiad. This guide covers patterns, computation, reasoning, and higher-level thinking to support early math mastery.



 Section 1: Basic Logical Reasoning
Start with topics that build logical reasoning, pattern recognition, and shape identification skills. This section is designed to develop critical thinking in young learners:

Patterns: Understanding and creating sequences.

Odd One Out: Identifying items that differ in a set.

Measuring Units: Familiarization with units for length, weight, and volume.

Geometrical Shapes: Recognizing and naming basic shapes.

Analogy: Identifying relationships between objects.

Ranking Test: Learning about order and positions.

Grouping of Figures: Finding similarities in sets.

Embedded Figures: Locating shapes within larger designs.

Coding-Decoding: Basic exercises in symbol replacement and logic.

Section 2: Core Mathematics Concepts
This section covers essential arithmetic and number skills, aimed at developing a solid foundation in basic math operations:

Numerals and Number Names: Understanding and writing 3-digit numbers.

Number Sense: Gaining intuition about quantity and comparisons.

Computation Operations: Addition, subtraction, and other primary operations.

Measurement: Concepts of length, weight, capacity, and time.

Temperature: Introduction to temperature measurement.

Money: Basic transactions, identifying currency.

Lines, Shapes, and Solids: Introduction to geometry basics.

Pictographs: Reading and interpreting simple visual data.

Patterns: Continuation from Section 1, exploring complex sequences.

Section 3: Advanced Practice
This section serves as an extension of Section 2, reinforcing core mathematical skills with additional practice. Topics include:

  • Numerals and Number Sense
  • Computation Operations
  • Measurement, Money, and Time
  • Geometric Figures and Solids
  • Pictographs and Patterns

 Section 4: Higher-Order Thinking Skills (HOTS)
Develop problem-solving abilities through challenging questions that require creative thinking. This section is based on concepts in Section 2 but involves deeper analysis and application:

  • Advanced Patterns and Sequences
  • Complex Computation Scenarios
  • Analytical Questions on Shapes and Figures








150 questions for International Mathematical Olympiad Practice 


1. Which shape comes next in the pattern? Triangle, Circle, Triangle, Circle, ___ 
a) Square 
b) Triangle
 c) Circle
 d) Rectangle


2. If a cat has 4 legs, how many legs do 3 cats have?
 a) 8
 b) 10
 c) 12
 d) 16


3. Arrange the numbers 8, 3, 15, 10 in ascending order.
 a) 8, 10, 15, 3 
 b) 3, 8, 10, 15
 c) 15, 10, 8, 3
 d) 10, 8, 3, 15


4. What is the missing number in the sequence? 2, 4, 6, ___, 10
 a) 7
 b) 8 
 c) 9
 d) 11



5.The sum of 7 and 8 is: 
 a) 12
 b) 15 
 c) 14
 d) 16


6.What is the difference between 14 and 9?
 a) 5 
 b) 3 
 c) 4
 d) 6

7. If you have 10 apples and you give 3 to your friend, how many apples do you have left?
 a) 5 
 b) 6 
 c) 7
 d) 8

8. Which number is greater: 56 or 65? 
 a) 56
 b) 65
 c) Both are equal
 d) Cannot say


9.What is the value of 5 tens and 3 ones?
 a) 35
 b) 53
 c) 45 
 d) 50



10. A pencil costs ₹2. How much will 5 pencils cost?
 a) ₹5
 b) ₹7
 c) ₹10
 d) ₹12


11. Rina has 12 chocolates. She gives 4 to her brother and 3 to her friend. How many chocolates does she have left?
 a) 4 
 b) 5 
 c) 7 
 d) 3

12. How many days are there in a week?
 a) 5
 b) 6 
 c) 7 
 d) 8

13. If one bus can carry 40 passengers, how many passengers can 3 such buses carry? 
 a) 80
 b) 100 
 c) 120
 d) 140

14. If a toy costs ₹20 and you have ₹50, how much money will you have left after buying the toy?
 a) ₹30
 b) ₹20
 c) ₹15 
 d) ₹10


15. Numerals, Number Names, and Number Sense (3-Digit Numbers) What number comes after 299?
 a) 298 
 b) 300
 c) 301
 d) 310


16. Write the number name for 235.
 a) Two hundred thirty-five
 b) Two hundred fifty-three
 c) Two hundred thirty-seven 
 d) Two hundred thirty-three


17. Which number is smaller: 412 or 421?
 a) 412
 b) 421
 c) Both are equal
 d) Cannot say

18.What is the place value of 5 in 357? 
 a) 5
 b) 50
 c) 500
 d) 5,000

19. Which number is between 124 and 126? 
 a) 122
 b) 125
 c) 127
 d) 128


20. What is 45 + 26?
 a) 60
 b) 71
 c) 69
 d) 72

21. Subtract 29 from 54.
 a) 15
 b) 25
 c) 27 
 d) 35

22. If you add 22 and 18, what do you get? 
 a) 30
 b) 40
 c) 45 
 d) 50

23. What is 12 × 3? 
 a) 24 
 b) 36
 c) 48
 d) 30

24. Divide 24 by 6. 
 a) 4
 b) 5
 c) 6
 d) 7



25. How many centimeters are there in a meter?
 a) 10
 b) 50
 c) 100 
 d) 1000

26. Which is heavier: 1 kg of rice or 500 grams of sugar? 
 a) 1 kg of rice
 b) 500 grams of sugar
 c) Both are equal 
 d) Cannot say


27. A jug can hold 2 liters of water. How many liters will 3 such jugs hold?
 a) 3 liters
 b) 5 liters
 c) 6 liters 
 d) 8 liters

28. What is the length of a pencil if it measures 10 cm? 
 a) 5 cm
 b) 8 cm
 c) 10 cm 
 d) 15 cm

29. Which unit is used to measure the capacity of a water bottle? 
 a) Kilograms
 b) Liters
 c) Meters 
 d) Grams



30. How many minutes are there in an hour?   a) 30
 b) 45
 c) 50
 d) 60


31. If the clock shows 3:00, what time will it be 2 hours later? 
a) 4:00
 b) 5:00 
 c) 6:00
 d) 7:00

32. What time is shown on the clock if the hour hand is on 6 and the minute hand is on 12?
 a) 5:00 
 b) 6:00
 c) 7:00
 d) 8:00

33. How many days are there in the month of February in a leap year?
 a) 28
 b) 29
 c) 30 
 d) 31

34. What is the next day after Thursday? 
a) Wednesday
 b) Friday c)
 Saturday 
d) Sunday



35. What is the unit used to measure temperature?
 a) Kilograms
 b) Liters
 c) Degrees Celsius
 d) Meters


36.Which temperature is colder: 10°C or 15°C? a) 10°C 
b) 15°C 
 c) Both are equal
 d) Cannot say


37. If the temperature rises from 20°C to 25°C, by how many degrees has it increased?
 a) 3°C 
 b) 5°C
 c) 7°C 
 d) 10°C

38. What is the freezing point of water?
 a) 0°C
 b) 10°C
 c) 20°C
 d) 32°C

39. On a sunny day, the temperature is 35°C. Is this: 
 a) Cold 
 b) Warm
 c) Hot
 d) Freezing

40. If a toy costs ₹50 and you have ₹80, how much money will you have left after buying the toy? 
a) ₹20 
b) ₹30 
c) ₹40 
d) ₹50

41.Ria has ₹100. She buys 3 pens for ₹15 each. How much money does she have left?   a) ₹55
 b) ₹45
 c) ₹40
 d) ₹35

42.Which coin has the highest value?
 a) ₹1 coin
 b) ₹2 coin
 c) ₹5 coin
 d) ₹10 coin

43.How much do 2 notes of ₹20 and 1 note of ₹50 add up to?
 a) ₹70
 b) ₹80
 c) ₹90
 d) ₹100

44. If a chocolate costs ₹15, how many can you buy with ₹60?
a) 2
b) 3 
c) 4 
d) 5


45. How many sides does a triangle have?
 a) 2 
 b) 3 
c) 4 
d) 5

46. What shape is a basketball?
 a) Circle
 b) Sphere
 c) Cylinder
 d) Cube

47. How many corners does a square have?
 a) 3
 b) 4 
 c) 5
 d) 6

48. Which of these shapes is flat? 
 a) Cube
 b) Sphere 
c) Square 
d) Cylinder

49. How many edges does a cube have?
 a) 6 
b) 8 
c) 10
 d) 12



50. What comes next in the pattern? 5, 10, 15, 20, ___ 
 a) 22
 b) 24 
 c) 25
 d) 30

51. Complete the pattern: ◻️, ◼️, ◻️, ◼️, ___ 
 a) ◻️
 b) ◼️
 c) ⬤ 
 d) △

52. What is the missing number in the pattern? 1, 3, 6, 10, ___
 a) 12 
b) 13 
c) 15 
d) 16

53. Continue the pattern: A, C, E, G, ___
 a) I 
 b) H
 c) J
d) K

54. Find the next shape in the pattern: △, ◯, ◻️, △, ___ 
 a) ◯
 b) ◻️
 c) △ 
 d) ⬤





55. What is the 3-digit number where the digit in the tens place is 1 more than the digit in the ones place and the digit in the hundreds place is 2 more than the tens place?
a) 321 
b) 231 
c) 312 
d) 213

56. The sum of two numbers is 18, and one of the numbers is 7. What is the other number?   a) 9 
 b) 10
 c) 11
 d) 12

57.A train leaves the station at 8:00 AM and reaches its destination at 1:00 PM. How many hours did the journey take?
 a) 3 hours
 b) 4 hours
 c) 5 hours 
 d) 6 hours

58.If Ravi reads 3 pages of a book each day, how many pages will he read in 5 days? 
 a) 10
 b) 12
 c) 15
 d) 18

59. A shop sells 5 pencils for ₹10. How much will 10 pencils cost? 
 a) ₹15
 b) ₹20
 c) ₹25
 d) ₹30


60.A farmer has 4 baskets. Each basket contains 6 apples. If he gives 5 apples to his friend, how many apples are left? 
 a) 19
 b) 20
 c) 21 
 d) 23

61. A train is 12 meters long. If it crosses a bridge that is 48 meters long, what is the total distance the train covers while crossing the bridge? 
 a) 48 m
 b) 60 m
 c) 56 m
 d) 72 m

62. A box contains 10 red balls and 15 blue balls. If 5 blue balls are taken out, how many balls are left in the box? 
 a) 15
 b) 20
 c) 25
 d) 30

63. If 7 balloons are tied to each chair, how many balloons will there be if there are 6 chairs? 
 a) 42
 b) 36
 c) 49
 d) 48

64.Tim has 20 marbles. He gives 7 to his friend and buys 5 more. How many marbles does he have now? 
 a) 17 
 b) 18
 c) 20
 d) 15

65. A rectangle has a length of 8 units and a width of 3 units. What is the perimeter of the rectangle?
 a) 22 units
 b) 24 units
c) 26 units 
d) 30 units

66. There are 5 baskets with 4 oranges in each. How many oranges are there in total?
 a) 15
 b) 20
 c) 25
 d) 30

67.If it takes 5 minutes to wash 1 plate, how many minutes will it take to wash 7 plates? 
 a) 25 minutes
 b) 30 minutes
 c) 35 minutes
 d) 40 minutes

68.The sum of two numbers is 50. One of the numbers is 18. What is the other number?
 a) 32
 b) 28
 c) 33
 d) 34

69.In a park, there are 15 benches. Each bench can seat 3 people. How many people can sit on all the benches? 
 a) 45
 b) 50
 c) 55
 d) 60

70.A flower has 5 petals. How many petals are there in 8 flowers? 
 a) 35
 b) 40
 c) 45
 d) 50

71.Emma has 16 candies. She gives half of them to her brother. How many candies does she have left? 
 a) 8 
 b) 12
 c) 6 
 d) 4

72.If today is Wednesday, what day will it be 4 days from now? 
a) Saturday
 b) Sunday 
c) Monday 
d) Tuesday

73.What is the missing number in the sequence: 3, 6, 9, __, 15? 
 a) 10
 b) 11
 c) 12
 d) 13

74.A pencil costs ₹4, and a notebook costs ₹12. How much will 2 pencils and 3 notebooks cost? 
a) ₹36 
b) ₹40 
c) ₹44 
d) ₹48

75.Which number is one less than 100? 
 a) 99
 b) 98
 c) 101
 d) 95

76. If a clock shows 4:45, how many minutes are left until 5:00?
 a) 10 minutes
 b) 15 minutes 
 c) 20 minutes
 d) 25 minutes

77. There are 24 students in a class. If 4 students are absent, how many students are present? 
 a) 18 
 b) 19
 c) 20
 d) 21

78.How many sides do 3 triangles have in total? 
a) 6 
b) 9 
c) 12 
d) 15

79.A bakery sells 12 cupcakes in a box. How many cupcakes are there in 3 boxes? 
 a) 24
 b) 30 
 c) 32
 d) 36

80. If a car travels 60 km in 1 hour, how far will it travel in 3 hours? 
a) 120 km
 b) 150 km
c) 180 km 
d) 200 km

81.Sarah has 5 books and each book has 20 pages. How many pages does she have in total? 
a) 80
b) 90 
c) 100 
d) 110

82. What is the sum of 25 and 35?
a) 50 
b) 55 
c) 60 
d) 65

83. A cube has how many vertices? 
 a) 6
 b) 8
 c) 10
 d) 12

84.If it takes 2 minutes to draw 1 shape, how long will it take to draw 9 shapes? 
 a) 16 minutes
 b) 18 minutes
 c) 20 minutes
 d) 22 minutes




86. Which of these is the greatest number?
    a) 345
    b) 453
    c) 234
    d) 342

87. What number comes before 500?
    a) 501
    b) 499
    c) 498
    d) 502

88. Write the number name for 420.
    a) Four hundred twenty
    b) Four hundred twelve
    c) Forty-two
    d) Four hundred two

89. Which number is greater: 213 or 312?
    a) 213
    b) 312
    c) Both are equal
    d) Cannot say

90. What is the sum of the digits in the number 357?
    a) 10
    b) 11
    c) 13
    d) 15



91. What is 90 – 33?
    a) 57
    b) 55
    c) 63
    d) 60

92. Add 124 and 76.
    a) 180
    b) 190
    c) 200
    d) 210

93. What is the product of 5 and 8?
    a) 30
    b) 35
    c) 40
    d) 45

94. Divide 81 by 9.
    a) 7
    b) 8
    c) 9
    d) 10

95. Subtract 250 from 500.
    a) 100
    b) 150
    c) 200
    d) 250



96. How many meters are there in 3 kilometers?
    a) 300
    b) 3000
    c) 30000
    d) 30

97. Which is heavier: 1 kg of apples or 1 kg of feathers?
    a) Apples
    b) Feathers
    c) Both are the same
    d) Cannot say

98. What is the capacity of a container that holds 4 liters of water?
    a) 2 liters
    b) 3 liters
    c) 4 liters
    d) 5 liters

99. Which tool is used to measure length?
    a) Scale
    b) Weighing scale
    c) Thermometer
    d) Stopwatch

100. How many grams are there in 1 kilogram?
    a) 100
    b) 500
    c) 1000
    d) 1500


101. What time is it when the clock shows 12 hours and 30 minutes?
    a) 12:00
    b) 12:30
    c) 1:00
    d) 1:30

102. How many days are there in a year?
    a) 360
    b) 365
    c) 366
    d) 370

103. If the clock shows 7:15, what is it in 24-hour format?
    a) 0715
    b) 1915
    c) 715
    d) 2015

104. How many months have 31 days?
    a) 5
    b) 6
    c) 7
    d) 8

105. Which month comes after May?
    a) April
    b) June
    c) July
    d) August


106. On a cold day, the temperature is likely to be:
    a) 0°C
    b) 25°C
    c) 35°C
    d) 100°C

107. If today’s temperature is 30°C and tomorrow’s forecast is 5°C higher, what will be tomorrow’s temperature?
    a) 25°C
    b) 30°C
    c) 35°C
    d) 40°C

108. Which is the hottest temperature?
    a) 20°C
    b) 25°C
    c) 15°C
    d) 35°C

109. Water boils at:
    a) 0°C
    b) 50°C
    c) 100°C
    d) 150°C

110. The temperature shown on the thermometer is 10°C. Is this likely to be:
    a) A warm day
    b) A cold day
    c) A hot day
    d) A freezing day


111. How much change will you get if you pay ₹100 for an item costing ₹65?
    a) ₹35
    b) ₹40
    c) ₹45
    d) ₹50

112. If 1 chocolate costs ₹8, how much do 6 chocolates cost?
    a) ₹40
    b) ₹42
    c) ₹48
    d) ₹50

113. What is the least number of ₹10 notes needed to make ₹100?
    a) 5
    b) 8
    c) 10
    d) 12

114. Which coin combination equals ₹15?
    a) Three ₹5 coins
    b) One ₹10 coin and one ₹2 coin
    c) Two ₹5 coins
    d) One ₹10 coin and one ₹5 coin


115. If a toy costs ₹25 and a book costs ₹30, how much money is needed to buy both?
    a) ₹50
    b) ₹55
    c) ₹60
    d) ₹65


116. Which shape has 4 equal sides?
    a) Triangle
    b) Square
    c) Rectangle
    d) Circle

117. How many faces does a cube have?
    a) 4
    b) 5
    c) 6
    d) 8

118. What shape is the face of a coin?
    a) Square
    b) Rectangle
    c) Circle
    d) Triangle

119. Which shape is a 3D object?
    a) Circle
    b) Square
    c) Cube
    d) Triangle

120. How many corners does a pentagon have?
    a) 4
    b) 5
    c) 6
    d) 7


121. If each star in a pictograph represents 2 items and there are 10 stars, how many items are there?
    a) 15
    b) 20
    c) 25
    d) 30

122. In a pictograph, each smiley face represents 4 people. If there are 5 smiley faces, how many people are represented?
    a) 10
    b) 15
    c) 20
    d) 25

123. How many objects are shown if each picture in a pictograph represents 3 and there are 7 pictures?
    a) 18
    b) 20
    c) 21
    d) 24

124. If 1 tree represents 5 trees in a pictograph and there are 8 pictures of trees, how many trees are represented?
    a) 30
    b) 35
    c) 40
    d) 45

125. Each picture of a ball in a pictograph shows 2 balls. How many balls are shown if there are 12 pictures?
    a) 20
    b) 22
    c) 24
    d) 26


126. What comes next in the pattern? 2, 4, 6, 8, ___
    a) 9
    b) 10
    c) 12
    d) 14

127. Complete the pattern: ▲, ▼, ▲, ▼, ___
    a) ▲
    b) ▼
    c) ◼️
    d) ⬤


128. What is the missing number in the pattern? 5, 10, 15, ___, 25
    a) 18
    b) 19
    c) 20
    d) 22


129. Continue the pattern: A, B, C, D, ___
    a) E
    b) F
    c) G
    d) H


130. Find the next number in the sequence: 1, 4, 9, 16, ___
    a) 20
    b) 24
    c) 25
    d) 30


131. If you have 2 apples and you take away 1, how many do you have left?
    a) 0
    b) 1
    c) 2
    d) 3


132. A rectangle is cut in half. What shape is each half?
    a) Circle
    b) Triangle
    c) Square
    d) Rectangle


133. If you add two odd numbers, the result is:
    a) Even
    b) Odd
    c) Prime
    d) Cannot say


134. A jar contains 15 red marbles and 10 blue marbles. If you take out 7 red marbles, how many marbles are left in the jar? 
a) 15 
b) 18 
c) 20 
d) 22


135. Rihana has 25 stickers. She gives 4 stickers to each of her 5 friends. How many stickers does she have left? 
a) 3 
b) 5 
c) 7
 d) 9


136.What is the missing number in the sequence: 2, 4, 6, __, 10? 
 a) 7
 b) 8 
 c) 9
 d) 11


137. A pizza is cut into 8 equal slices. If Emma eats 3 slices and her brother eats 2, how many slices are left? 
 a) 2 
 b) 3
 c) 5
 d) 6


138. Sam has 12 candies. He gives 3 to Mike and 4 to Alice. How many candies does Sam have left? 
 a) 4 
 b) 5
 c) 6
 d) 7


139. If it takes 3 minutes to paint one picture, how long will it take to paint 5 pictures? 
 a) 10 minutes
 b) 12 minutes
 c) 15 minutes 
 d) 18 minutes


140.A box holds 30 chocolates. If you take out 8 chocolates and put 5 more in, how many chocolates are in the box now? 
 a) 25 
 b) 27
 c) 30
 d) 33


141.Jenny has 5 pencils, and each pencil is 10 cm long. How long are all the pencils when placed end to end? 
 a) 40 cm
 b) 45 cm
 c) 50 cm 
 d) 55 cm


142. What is the total number of sides in 3 hexagons?
 a) 12
 b) 15
 c) 18 
 d) 21


143.If you have 9 apples and you want to divide them equally among 3 friends, how many apples will each friend get? 
 a) 2 
 b) 3
 c) 4
 d) 5


144. A toy car travels 4 meters in one minute. How far will it travel in 5 minutes?
 a) 15 m
 b) 18 m 
 c) 20 m 
 d) 24 m


145. The sum of two numbers is 30. If one of the numbers is 12, what is the other number?   a) 15
 b) 16
 c) 18
 d) 20


146.Sahil has a rope that is 100 cm long. He cuts it into two pieces: one piece is 35 cm. How long is the other piece? 
a) 55 cm
 b) 60 cm 
c) 65 cm 
d) 70 cm


147.In a class, there are 18 boys and 14 girls. How many students are there in total? 
 a) 30 
 b) 32
 c) 34
 d) 36


148.A rectangle has a length of 9 units and a width of 4 units. What is the area of the rectangle? 
a) 32 units² 
b) 35 units² 
c) 36 units²
 d) 45 units²


149.A bus arrives at the station every 20 minutes. If the first bus arrives at 9:00 AM, at what time will the next bus arrive? 
 a) 9:10 AM 
 b) 9:15 AM
 c) 9:20 AM 
 d) 9:30 AM


150.If there are 6 rows of chairs with 4 chairs in each row, how many chairs are there in total?
 a) 20
 b) 22 
 c) 24
 d) 26.

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