50+ Class 5 Math Olympiad Questions with Answers

Logical Reasoning Topics

Class 5 Math Olympiad questions with answers and syllabus for IMO preparation

1. Patterns - Recognizing and continuing patterns in sequences of numbers, shapes, or letters.

2. Analogy and Classification - Finding relationships and categorizing items based on shared characteristics.

3. Mirror and Water Images - Identifying reflections and understanding symmetrical views.

4. Direction Sense - Understanding relative positioning and navigation (e.g., right, left, north, south).

5. Ranking Test - Determining the order or rank based on conditions provided.

6. Alphabet Test - Identifying letter positions, sequences, and coded patterns using alphabetical order.

7. Coding-Decoding - Solving coded messages using logic and alphabetical/numerical patterns.

8. Logical Sequence of Words - Arranging words in logical order based on criteria (e.g., size, alphabetical order).

9. Puzzle Test - Solving problems that involve logical placement and reasoning.

10. Direction Sense Test - Navigational challenges involving understanding of cardinal directions.

11. Alphabetical Test - Arranging and sequencing letters of the alphabet and recognizing letter positions.

12. Puzzle and Ranking Test - Mixed problems requiring ranking and arrangement based on given clues

Logical Reasoning

1.Find the next number in the sequence: 5, 10, 15, 20, ___

(A) 22

(B) 25

(D) 30

2.If you arrange the letters of the word "TABLE" in alphabetical order, which letter comes first?

(A) T

(B) A

(D) L

3.In a code, "CAT" is written as "DBU." How would you write "DOG" in the same code?

(A) EPF

(B) EPH

(D) EPG

4.Rina is shorter than Anil, but taller than Mita. Who is the tallest?

(A) Rina

(B) Anil

(D) Cannot be determined

5.If 3 pens cost Rs. 15, how much will 9 pens cost?

(A) Rs. 30

(B) Rs. 40

(D) Rs. 50

6. A family has a father, mother, and two children. Each child has two siblings. How many members are in the family?

(A) 2

(B) 3

(D) 5

7.Find the odd one out: 18, 27, 36, 54, 72

(A) 27

(B) 36

(D) 72

8.If today is Tuesday, what day will it be 8 days from now?

(A) Monday

(B) Wednesday

(D) Friday

8.Which shape has 4 equal sides and 4 right angles?

(A) Rectangle

(B) Triangle

(D) Square

9.50, 40, 30, ___, 10. What is the missing number?

(A) 15

(B) 20

(D) 35

10.Arrange the numbers in descending order: 93, 59, 27, 84, 75

(A) 93, 84, 75, 59, 27

(B) 93, 75, 84, 59, 27

(D) 27, 59, 75, 84, 93

11. If "APPLE" is coded as "CRRNF," how is "BANANA" coded?

(A) CTPCPC

(B) CRTPCP

(D) CBTQDB

12.There are 6 red balls and 4 blue balls in a bag. If you pick one ball without looking, what is the probability it is red?

(A) 1/2

(B) 2/5

(D) 4/5

13.Mary is older than Peter. Peter is younger than Anna. Who is the youngest?

(A) Mary

(B) Peter

(D) Cannot be determined

15.In a code language, "SCHOOL" is written as "TDIPPM." What will be the code for "TEACH"? (A) UFBJD

(B) UBFCJ

(D) TEBIC

16. How many 5s are there in 550 divided by 5?

(A) 100

(B) 110

(D) 125

17.If the following pattern continues, what is the next letter? A, C, E, G, ___

(A) H

(B) I

(D) K

18.Sarah has Rs. 100 and spends Rs. 45. How much is left?

(A) Rs. 40

(B) Rs. 45

(D) Rs. 60

19. Find the missing number in the pattern: 2, 4, 8, 16, ___

(A) 18

(B) 20

(D) 32

20.Which number is exactly in the middle when the following are arranged in descending order: 127, 89, 93, 75, 103?

(A) 103

(B) 93

(D) 127

Mathematical Reasoning Topics

1. Numerals, Number Names, and Number Sense (7 and 8-digit numbers) - Identifying, reading, and interpreting large numbers

2. Computation Operations - Basic operations: addition, subtraction, multiplication, and division

3. Fractions and Decimals - Basic operations and conversions between fractions and decimals

4. Measurement

- Length, Weight, and Capacity - Understanding units and conversions

- Time and Temperature - Reading clocks and thermometers, basic calculations

- Money - Calculating totals and making change, understanding currency

5. Conversions - Converting between units within and across measurement systems

6. Geometrical Shapes and Solids -

Recognizing, classifying, and understanding 2D and 3D shapes

7. Angles - Basics of angles, types (acute, obtuse, right), and simple measurements

8. Perimeter and Area

- Perimeter of Various Shapes - Calculating perimeter for rectangles, squares, triangles, etc.

- Area of Rectangle and Square - Calculating area of basic geometric shapes

9. Symmetry - Recognizing symmetrical shapes and lines of symmetry

10. Data Handling - Reading and interpreting charts, tables, and basic data sets

21.Arrange the following numbers in ascending order: 234, 567, 123, 789, 456. Which number will be exactly in the middle? (A) 123

(B) 234

(D) 567

22.If 5 birds are sitting on a wire and 2 fly away, how many birds are left on the wire?

(A) 3

(B) 2

(D) 5

23. If the pattern continues, what will be the next shape in the sequence: Triangle, Square, Circle, Triangle, Square?

(A) Circle

(B) Triangle

(D) Rectangle

24. What is the missing number in the sequence: 5, 10, 15, __, 25?

(A) 18

(B) 20

(D) 30

25.In a code language, if CAT is written as XZG, how will DOG be written?

(A) WLH

(B) LWH

(D) XZJ

26.There are 4 apples and 3 oranges in a basket. If you take 2 fruits out, what is the probability of both being apples?

(A) 1/2

(B) 1/4

(D) 2/5

27. If Ravi is taller than Mohan, and Mohan is taller than Suresh, who is the tallest?

(A) Mohan

(B) Suresh

(D) Cannot be determined

28. What will be the next number in the pattern: 2, 6, 12, 20, ___?

(A) 28

(B) 30

(D) 24

29. If a bus travels 20 km in 30 minutes, how much distance will it cover in 1 hour?

(A) 20 km

(B) 30 km

(D) 50 km

30.Which number will replace the question mark in the series: 3, 6, 9, 12, ?, 18?

(A) 15

(B) 13

(D) 14

31.A clock shows the time as 3:45. How many minutes are there to 5:00?

(A) 60

(B) 45

(D) 90

32.If all squares are rectangles, but not all rectangles are squares, which of the following is true?

(A) All rectangles are squares

(B) All squares are rectangles

(D) Some rectangles are squares

33. If each side of a square is increased by 2 cm, how much will its area increase?

(A) 4 cm²

(B) 8 cm²

(D) 16 cm²

34.Which of the following numbers is a prime number?

(A) 15

(B) 21

(D) 35

35.How many edges does a cube have?

(A) 6

(B) 8

(D) 10

36. If a triangle has two equal sides, what type of triangle is it?

(A) Scalene

(B) Equilateral

(D) Right-angle

37.If 8 + 3 = 27 and 6 + 2 = 16, then what is 9 + 5?

(A) 35

(B) 40

(D) 50

38.Ravi’s father is twice as old as Ravi. If Ravi is 15 years old, how old is his father?

(A) 30

(B) 25

(D) 35

39.A book has 100 pages, numbered from 1 to 100. How many times does the digit 1 appear?

(A) 9

(B) 10

(D) 20

40.In a sequence of letters, if A=1, B=2, C=3, ..., Z=26, then what is the sum of the letters in the word MATH?

(A) 34

(B) 45

(D) 58

41.What is the product of the numbers 15 and 8?

(A) 100

(B) 110

(D) 130

42. A rectangular garden has a length of 25 m and a width of 10 m. What is its perimeter? (A) 35 m

(B) 50 m

(D) 80 m

43.If the cost of 5 notebooks is Rs. 120, what is the cost of 3 notebooks?

(A) Rs. 60

(B) Rs. 72

(D) Rs. 100

44.Find the missing number in the equation: 7 x ? = 56

(A) 6

(B) 7

(D) 9

45.If 3/5 of a number is 24, what is the number?

(A) 40

(B) 45

(D) 60

46.In a sequence, each number increases by 6. If the first number is 5, what is the fifth number?

(A) 20

(B) 23

(D) 35

47.Convert 2.5 hours into minutes.

(A) 120 minutes

(B) 135 minutes

(D) 180 minutes

48.If a rectangle has an area of 64 square cm and a length of 8 cm, what is its width?

(A) 4 cm

(B) 6 cm

(D) 10 cm

49.Divide 225 by 15.

(A) 10

(B) 12

(D) 18

50.The area of a square is 81 square cm. What is the length of each side?

(A) 8 cm

(B) 9 cm

(D) 11 cm

51.Simplify: 45 - (8 + 5) x 2.

(A) 22

(B) 24

(D) 28

52.If 0.75 is multiplied by 100, what is the result?

(A) 7.5

(B) 75

(D) 0.075

53. What is the least common multiple (LCM) of 4 and 6?

(A) 10

(B) 12

(D) 16

A bus can carry 50 people. How many buses are needed to carry 275 people?

(A) 4 (B) 5 (C) 6 (D) 7

Solve: 3^4

(A) 6 (B) 9 (C) 27 (D) 81

Convert 2.75 kg into grams.

(A) 275 g (B) 2750 g (C) 27500 g (D) 0.275 g

If a pack of 6 pencils costs Rs. 42, what is the cost of one pencil?

(A) Rs. 5 (B) Rs. 6 (C) Rs. 7 (D) Rs. 8

Rani has Rs. 75. She spends Rs. 28 on a book and Rs. 12 on a pen. How much money is left?

(A) Rs. 35 (B) Rs. 40 (C) Rs. 45 (D) Rs. 50

In a class of 30 students, if 3/5 of them are boys, how many girls are there?

(A) 10 (B) 12 (C) 15 (D) 18

Calculate: (15 + 25) / 5. (A) 6 (B) 8 (C) 10 (D) 12

Everyday Mathematics (Sample Set of 20 Questions)

A fruit vendor sells 5 kg of apples for Rs. 250. What is the cost per kg?

(A) Rs. 40 (B) Rs. 45 (C) Rs. 50 (D) Rs. 55

Rita bought a pen for Rs. 15 and a notebook for Rs. 25. How much did she spend in total?

(A) Rs. 30 (B) Rs. 35 (C) Rs. 40 (D) Rs. 45

If one chocolate costs Rs. 10, how many chocolates can you buy with Rs. 150?

(A) 10 (B) 12 (C) 15 (D) 18

The price of one pizza is Rs. 200. If you buy 3 pizzas, how much will it cost?

(A) Rs. 400 (B) Rs. 500 (C) Rs. 600 (D) Rs. 700

A bus ticket costs Rs. 35. What is the cost of 4 tickets?

(A) Rs. 120 (B) Rs. 130 (C) Rs. 140 (D) Rs. 150

If a car travels at a speed of 60 km/hr, how far will it travel in 3 hours?

(A) 120 km (B) 150 km (C) 180 km (D) 200 km

Aman has Rs. 50. He buys a chocolate for Rs. 20 and a biscuit for Rs. 15. How much money is left? (A) Rs. 10 (B) Rs. 15 (C) Rs. 20 (D) Rs. 25

If 1 dozen eggs cost Rs. 48, what is the cost of 3 dozen eggs?

(A) Rs. 96 (B) Rs. 120 (C) Rs. 144 (D) Rs. 156

Tina bought a dress for Rs. 450 and a pair of shoes for Rs. 350. How much did she spend in total?

(A) Rs. 750 (B) Rs. 800 (C) Rs. 850 (D) Rs. 900

The cost of 1 liter of milk is Rs. 42. How much will 5 liters cost?

(A) Rs. 180 (B) Rs. 200 (C) Rs. 210 (D) Rs. 220

If a shirt costs Rs. 150 and a trouser costs twice as much, what is the cost of both items?

(A) Rs. 300 (B) Rs. 450 (C) Rs. 400 (D) Rs. 500

A train ticket from City A to City B costs Rs. 120. What is the total cost for 5 people?

(A) Rs. 450 (B) Rs. 500 (C) Rs. 600 (D) Rs. 700

Rahul bought 4 notebooks at Rs. 12 each and a pen for Rs. 10. How much did he spend in total?

(A) Rs. 48 (B) Rs. 52 (C) Rs. 58 (D) Rs. 62

The price of a movie ticket is Rs. 80. How much will it cost for 6 tickets?

(A) Rs. 400 (B) Rs. 450 (C) Rs. 480 (D) Rs. 500

An orange costs Rs. 8. How many oranges can you buy with Rs. 100?

(A) 10 (B) 11 (C) 12 (D) 13

A school bus can carry 40 students. If there are 120 students, how many buses are required?

(A) 2 (B) 3 (C) 4 (D) 5

A farmer has 60 cows. If he sells 15 of them, how many cows will he have left?

(A) 30 (B) 35 (C) 40 (D) 45

The price of a cricket bat is Rs. 750 and a ball is Rs. 50. What is the total cost for both?

(A) Rs. 780 (B) Rs. 800 (C) Rs. 820 (D) Rs. 850

If Rohan travels 15 km every day, how far will he travel in 7 days? (

A) 90 km (B) 95 km (C) 100 km (D) 105 km

Sita bought 3 books for Rs. 40 each and a pen for Rs. 10. How much did she spend in total?

(A) Rs. 120 (B) Rs. 130 (C) Rs. 140 (D) Rs. 150

Higher Order Thinking (Sample Set of 20 Questions)

Ramesh has 50 marbles. He gives 1/5 of them to his friend. How many marbles does he have left?

(A) 30 (B) 35 (C) 40 (D) 45

A rectangle has an area of 80 square cm and one side is 8 cm. What is the length of the other side?

(A) 8 cm (B) 10 cm (C) 12 cm (D) 15 cm

The sum of two numbers is 100, and their difference is 20. What are the two numbers?

(A) 40 and 60 (B) 30 and 70 (C) 50 and 70 (D) 45 and 55

A bag contains 10 red balls, 12 blue balls, and 8 green balls. If a ball is drawn at random, what is the probability that it is a red ball?

(A) 1/3 (B) 2/5 (C) 1/5 (D) 1/2

If a cube has a volume of 64 cubic cm, what is the length of each edge?

(A) 4 cm (B) 6 cm (C) 8 cm (D) 10 cm

In a school, there are 240 students. If 3/8 of them are girls, how many are boys?

(A) 90 (B) 120 (C) 140 (D) 150

A car travels 90 km in 2 hours. At the same speed, how far will it travel in 3 hours?

(A) 100 km (B) 120 km (C) 135 km (D) 150 km

What is the largest three-digit number divisible by 7?

(A) 994 (B) 996 (C) 998 (D) 999

In a class of 60 students, 1/3 are wearing glasses. How many students are not wearing glasses?

(A) 20 (B) 30 (C) 40 (D) 45

A water tank has a capacity of 200 liters. If it is 3/4 full, how much water is in the tank?

(A) 100 L (B) 120 L (C) 150 L (D) 160 L

If a box contains 12 pencils, and each pencil costs Rs. 5, what is the total cost of all pencils?

(A) Rs. 50 (B) Rs. 55 (C) Rs. 60 (D) Rs. 65

What is the difference between the largest and smallest three-digit numbers divisible by 5?

(A) 895 (B) 900 (C) 905 (D) 990

The sum of four consecutive even numbers is 68. What is the smallest of these numbers?

(A) 14 (B) 16 (C) 18 (D) 20

If a train travels 60 km in 1 hour and 30 minutes, what is its average speed?

(A) 30 km/hr (B) 35 km/hr (C) 40 km/hr (D) 45 km/hr

A field has an area of 150 square meters. If the length is 15 meters, what is the width?

(A) 5 m (B) 10 m (C) 15 m (D) 20 m

A shopkeeper has 120 chocolates. He sold 3/4 of them. How many chocolates are left?

(A) 30 (B) 40 (C) 50 (D) 60

If x - y = 15 and x + y = 25, what is the value of x?

(A) 15 (B) 20 (C) 25 (D) 30

A man buys a pen for Rs. 18 and sells it at a profit of Rs. 7. What is the selling price?

(A) Rs. 22 (B) Rs. 25 (C) Rs. 27 (D) Rs. 30

The perimeter of a square is 48 cm. What is the area of the square?

(A) 144 sq. cm (B) 196 sq. cm (C) 256 sq. cm (D) 324 sq. cm

A jar has a mixture of milk and water in the ratio 3:2. If there are 15 liters of milk, how much water is there?

(A) 10 L (B) 12 L (C) 14 L (D) 18 L

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