20 Maths Olympiad Questions for Class 6 with Answers

Are you preparing for a Class 6 Maths Olympiad? Regular practice with conceptual and logical questions can help you improve your mathematical thinking, accuracy and problem-solving skills.

Class 6 Maths Olympiad preparation commonly includes topics such as numbers, fractions, decimals, integers, geometry, data handling, mensuration, algebra, ratio and proportion, along with reasoning and higher-order thinking questions. The exact topics and examination pattern depend on the Olympiad organiser.

In this article, Olympiad Digital presents 20 carefully designed Class 6 Maths Olympiad practice questions with answers.

Try to solve each question yourself before checking the answer.

Question 1: Number Pattern

Find the next number:

4, 9, 16, 25, 36, ?

A. 42
B. 45
C. 49
D. 54

Answer: C. 49

Explanation:
The numbers are:

2², 3², 4², 5², 6²

Therefore, the next number is:

7² = 49

Question 2: Divisibility

Which of the following numbers is divisible by both 3 and 5?

A. 125
B. 135
C. 142
D. 154

Answer: B. 135

Explanation:
135 ends in 5, so it is divisible by 5.

The sum of its digits is:

1 + 3 + 5 = 9

Since 9 is divisible by 3, 135 is divisible by both 3 and 5.

Question 3: Fractions

Which fraction is the greatest?

A. 3/4
B. 5/8
C. 7/10
D. 2/3

Answer: A. 3/4

Explanation:

3/4 = 0.75
5/8 = 0.625
7/10 = 0.70
2/3 ≈ 0.67

Therefore, 3/4 is the greatest.

Question 4: Decimals

A student has ₹100. He spends ₹37.50 on a book and ₹12.75 on stationery.

How much money is left?

A. ₹49.25
B. ₹50.25
C. ₹49.75
D. ₹48.75

Answer: A. ₹49.75

Explanation:

Total spent:

₹37.50 + ₹12.75 = ₹50.25

Money left:

₹100 − ₹50.25 = ₹49.75

Question 5: Integers

Calculate:

−8 + 15 − 6

A. −1
B. 1
C. 11
D. 13

Answer: B. 1

Explanation:

−8 + 15 = 7

7 − 6 = 1

Question 6: Geometry

A rectangle has a length of 12 cm and a width of 7 cm.

What is its perimeter?

A. 19 cm
B. 38 cm
C. 42 cm
D. 84 cm

Answer: B. 38 cm

Explanation:

Perimeter of rectangle:

2 × (Length + Width)

= 2 × (12 + 7)

= 2 × 19

= 38 cm

Question 7: Area

A square has a side of 9 cm.

What is its area?

A. 18 cm²
B. 36 cm²
C. 72 cm²
D. 81 cm²

Answer: D. 81 cm²

Explanation:

Area of square = side × side

= 9 × 9

= 81 cm²

Question 8: Ratio

The ratio of boys to girls in a class is 3 : 2.

If there are 15 boys, how many girls are there?

A. 8
B. 10
C. 12
D. 15

Answer: B. 10

Explanation:

3 parts = 15 boys

1 part = 5

Girls = 2 parts

= 2 × 5

= 10

Question 9: Algebra

If:

x + 17 = 35

what is the value of x?

A. 12
B. 17
C. 18
D. 52

Answer: C. 18

Explanation:

x = 35 − 17

Therefore:

x = 18

Question 10: Average

The marks obtained by a student in three tests are:

18, 24 and 30

What is the average?

A. 20
B. 22
C. 24
D. 26

Answer: C. 24

Explanation:

Average = Total marks ÷ Number of tests

= (18 + 24 + 30) ÷ 3

= 72 ÷ 3

= 24

Challenge Questions

Now let's try some questions that require a little more thinking.

Question 11: Missing Number

Find the missing number:

2, 6, 12, 20, 30, ?

A. 36
B. 40
C. 42
D. 44

Answer: C. 42

Explanation:

The pattern is:

1 × 2 = 2
2 × 3 = 6
3 × 4 = 12
4 × 5 = 20
5 × 6 = 30

Therefore:

6 × 7 = 42

Question 12: Fractions

Riya ate 2/5 of a cake and her brother ate 1/4 of the cake.

What fraction of the cake did they eat altogether?

A. 3/9
B. 8/20
C. 13/20
D. 3/20

Answer: C. 13/20

Explanation:

LCM of 5 and 4 = 20

2/5 = 8/20

1/4 = 5/20

Total:

8/20 + 5/20 = 13/20

Question 13: Time

A movie starts at 4:35 PM and lasts for 1 hour 45 minutes.

At what time will it finish?

A. 5:50 PM
B. 6:10 PM
C. 6:20 PM
D. 6:30 PM

Answer: B. 6:20 PM

Explanation:

4:35 PM + 1 hour = 5:35 PM

5:35 PM + 45 minutes = 6:20 PM

Question 14: Factors

Which number has exactly four factors?

A. 8
B. 10
C. 12
D. 16

Answer: B. 10

Explanation:

Factors of 10 are:

1, 2, 5, 10

Therefore, 10 has exactly four factors.

Question 15: Logical Reasoning

If:

3 → 12

5 → 30

7 → 56

Then:

9 → ?

A. 72
B. 81
C. 90
D. 99

Answer: C. 90

Explanation:

3 × 4 = 12

5 × 6 = 30

7 × 8 = 56

Therefore:

9 × 10 = 90

Higher-Order Thinking Questions

Question 16: Number Puzzle

I am a two-digit number.

My tens digit is 3 more than my units digit.

The sum of my digits is 11.

What number am I?

A. 47
B. 56
C. 65
D. 74

Answer: D. 74

Explanation:

Let the units digit be x.

Tens digit = x + 3

Their sum:

x + (x + 3) = 11

2x + 3 = 11

2x = 8

x = 4

Tens digit = 7

Therefore, the number is 74.

Question 17: Perimeter Challenge

A rectangular garden has a perimeter of 50 metres.

Its length is 15 metres.

What is its width?

A. 8 m
B. 10 m
C. 12 m
D. 20 m

Answer: B. 10 m

Explanation:

Perimeter = 2 × (Length + Width)

50 = 2 × (15 + Width)

25 = 15 + Width

Width = 10 m

Question 18: Ratio Challenge

A box contains red and blue balls in the ratio 2 : 3.

There are 25 balls altogether.

How many blue balls are there?

A. 10
B. 12
C. 15
D. 18

Answer: C. 15

Explanation:

Total parts:

2 + 3 = 5

One part:

25 ÷ 5 = 5

Blue balls:

3 × 5 = 15

Question 19: Thinking Question

A number is divisible by 2, 3 and 5.

Which of the following could be the number?

A. 45
B. 50
C. 60
D. 75

Answer: C. 60

Explanation:

The number must be divisible by:

2 × 3 × 5 = 30

60 is divisible by 30.

Therefore, the correct answer is 60.

Question 20: Olympiad Challenge

A shopkeeper has 48 pencils.

He wants to put them equally into boxes.

Which of the following cannot be the number of pencils in each box?

A. 2
B. 4
C. 6
D. 7

Answer: D. 7

Explanation:

48 is divisible by:

2, 4 and 6.

But 48 is not exactly divisible by 7.

Therefore, 7 pencils per box is not possible if every box must contain the same number of pencils.

Answer Key

How to Improve Your Maths Olympiad Preparation

Do not simply look at the answers after every question.

Try this method:

Step 1: Solve the question yourself.

Step 2: Give yourself a reasonable time limit.

Step 3: Check your answer.

Step 4: If your answer is wrong, understand the mistake.

Step 5: Try a similar question again without looking at the solution.

Regular practice with different types of questions can help develop speed, accuracy and mathematical reasoning.

Final Challenge for Students

How many of the 20 questions did you solve correctly without looking at the answers?

18–20: Excellent! 🏆

15–17: Very Good! Keep practising. ⭐

10–14: Good effort! Focus on your weaker topics.

Below 10: Don't worry. Start with basic concepts and practise regularly.

Remember:

Understand → Practise → Think → Improve → Repeat.

More Olympiad Practice

Looking for more Class 6 Olympiad practice material?

Explore Olympiad Digital for Olympiad books and learning resources for students from Classes 1–12.

Keep learning. Keep practising. Keep challenging yourself! 🚀📚

SEO Title:
20 Maths Olympiad Questions for Class 6 with Answers20 Maths Olympiad Questions for Class 6 with Answers

Are you preparing for a Class 6 Maths Olympiad? Regular practice with conceptual and logical questions can help you improve your mathematical thinking, accuracy and problem-solving skills.

Class 6 Maths Olympiad preparation commonly includes topics such as numbers, fractions, decimals, integers, geometry, data handling, mensuration, algebra, ratio and proportion, along with reasoning and higher-order thinking questions. The exact topics and examination pattern depend on the Olympiad organiser.

In this article, Olympiad Digital presents 20 carefully designed Class 6 Maths Olympiad practice questions with answers.

Try to solve each question yourself before checking the answer.

Question 1: Number Pattern

Find the next number:

4, 9, 16, 25, 36, ?

A. 42
B. 45
C. 49
D. 54

Answer: C. 49

Explanation:
The numbers are:

2², 3², 4², 5², 6²

Therefore, the next number is:

7² = 49

Question 2: Divisibility

Which of the following numbers is divisible by both 3 and 5?

A. 125
B. 135
C. 142
D. 154

Answer: B. 135

Explanation:
135 ends in 5, so it is divisible by 5.

The sum of its digits is:

1 + 3 + 5 = 9

Since 9 is divisible by 3, 135 is divisible by both 3 and 5.

Question 3: Fractions

Which fraction is the greatest?

A. 3/4
B. 5/8
C. 7/10
D. 2/3

Answer: A. 3/4

Explanation:

3/4 = 0.75
5/8 = 0.625
7/10 = 0.70
2/3 ≈ 0.67

Therefore, 3/4 is the greatest.

Question 4: Decimals

A student has ₹100. He spends ₹37.50 on a book and ₹12.75 on stationery.

How much money is left?

A. ₹49.25
B. ₹50.25
C. ₹49.75
D. ₹48.75

Answer: A. ₹49.75

Explanation:

Total spent:

₹37.50 + ₹12.75 = ₹50.25

Money left:

₹100 − ₹50.25 = ₹49.75

Question 5: Integers

Calculate:

−8 + 15 − 6

A. −1
B. 1
C. 11
D. 13

Answer: B. 1

Explanation:

−8 + 15 = 7

7 − 6 = 1

Question 6: Geometry

A rectangle has a length of 12 cm and a width of 7 cm.

What is its perimeter?

A. 19 cm
B. 38 cm
C. 42 cm
D. 84 cm

Answer: B. 38 cm

Explanation:

Perimeter of rectangle:

2 × (Length + Width)

= 2 × (12 + 7)

= 2 × 19

= 38 cm

Question 7: Area

A square has a side of 9 cm.

What is its area?

A. 18 cm²
B. 36 cm²
C. 72 cm²
D. 81 cm²

Answer: D. 81 cm²

Explanation:

Area of square = side × side

= 9 × 9

= 81 cm²

Question 8: Ratio

The ratio of boys to girls in a class is 3 : 2.

If there are 15 boys, how many girls are there?

A. 8
B. 10
C. 12
D. 15

Answer: B. 10

Explanation:

3 parts = 15 boys

1 part = 5

Girls = 2 parts

= 2 × 5

= 10

Question 9: Algebra

If:

x + 17 = 35

what is the value of x?

A. 12
B. 17
C. 18
D. 52

Answer: C. 18

Explanation:

x = 35 − 17

Therefore:

x = 18

Question 10: Average

The marks obtained by a student in three tests are:

18, 24 and 30

What is the average?

A. 20
B. 22
C. 24
D. 26

Answer: C. 24

Explanation:

Average = Total marks ÷ Number of tests

= (18 + 24 + 30) ÷ 3

= 72 ÷ 3

= 24

Challenge Questions

Now let's try some questions that require a little more thinking.

Question 11: Missing Number

Find the missing number:

2, 6, 12, 20, 30, ?

A. 36
B. 40
C. 42
D. 44

Answer: C. 42

Explanation:

The pattern is:

1 × 2 = 2
2 × 3 = 6
3 × 4 = 12
4 × 5 = 20
5 × 6 = 30

Therefore:

6 × 7 = 42

Question 12: Fractions

Riya ate 2/5 of a cake and her brother ate 1/4 of the cake.

What fraction of the cake did they eat altogether?

A. 3/9
B. 8/20
C. 13/20
D. 3/20

Answer: C. 13/20

Explanation:

LCM of 5 and 4 = 20

2/5 = 8/20

1/4 = 5/20

Total:

8/20 + 5/20 = 13/20

Question 13: Time

A movie starts at 4:35 PM and lasts for 1 hour 45 minutes.

At what time will it finish?

A. 5:50 PM
B. 6:10 PM
C. 6:20 PM
D. 6:30 PM

Answer: B. 6:20 PM

Explanation:

4:35 PM + 1 hour = 5:35 PM

5:35 PM + 45 minutes = 6:20 PM

Question 14: Factors

Which number has exactly four factors?

A. 8
B. 10
C. 12
D. 16

Answer: B. 10

Explanation:

Factors of 10 are:

1, 2, 5, 10

Therefore, 10 has exactly four factors.

Question 15: Logical Reasoning

If:

3 → 12

5 → 30

7 → 56

Then:

9 → ?

A. 72
B. 81
C. 90
D. 99

Answer: C. 90

Explanation:

3 × 4 = 12

5 × 6 = 30

7 × 8 = 56

Therefore:

9 × 10 = 90

Higher-Order Thinking Questions

Question 16: Number Puzzle

I am a two-digit number.

My tens digit is 3 more than my units digit.

The sum of my digits is 11.

What number am I?

A. 47
B. 56
C. 65
D. 74

Answer: D. 74

Explanation:

Let the units digit be x.

Tens digit = x + 3

Their sum:

x + (x + 3) = 11

2x + 3 = 11

2x = 8

x = 4

Tens digit = 7

Therefore, the number is 74.

Question 17: Perimeter Challenge

A rectangular garden has a perimeter of 50 metres.

Its length is 15 metres.

What is its width?

A. 8 m
B. 10 m
C. 12 m
D. 20 m

Answer: B. 10 m

Explanation:

Perimeter = 2 × (Length + Width)

50 = 2 × (15 + Width)

25 = 15 + Width

Width = 10 m

Question 18: Ratio Challenge

A box contains red and blue balls in the ratio 2 : 3.

There are 25 balls altogether.

How many blue balls are there?

A. 10
B. 12
C. 15
D. 18

Answer: C. 15

Explanation:

Total parts:

2 + 3 = 5

One part:

25 ÷ 5 = 5

Blue balls:

3 × 5 = 15

Question 19: Thinking Question

A number is divisible by 2, 3 and 5.

Which of the following could be the number?

A. 45
B. 50
C. 60
D. 75

Answer: C. 60

Explanation:

The number must be divisible by:

2 × 3 × 5 = 30

60 is divisible by 30.

Therefore, the correct answer is 60.

Question 20: Olympiad Challenge

A shopkeeper has 48 pencils.

He wants to put them equally into boxes.

Which of the following cannot be the number of pencils in each box?

A. 2
B. 4
C. 6
D. 7

Answer: D. 7

Explanation:

48 is divisible by:

2, 4 and 6.

But 48 is not exactly divisible by 7.

Therefore, 7 pencils per box is not possible if every box must contain the same number of pencils.

Answer Key

How to Improve Your Maths Olympiad Preparation

Do not simply look at the answers after every question.

Try this method:

Step 1: Solve the question yourself.

Step 2: Give yourself a reasonable time limit.

Step 3: Check your answer.

Step 4: If your answer is wrong, understand the mistake.

Step 5: Try a similar question again without looking at the solution.

Regular practice with different types of questions can help develop speed, accuracy and mathematical reasoning.

Final Challenge for Students

How many of the 20 questions did you solve correctly without looking at the answers?

18–20: Excellent! 🏆

15–17: Very Good! Keep practising. ⭐

10–14: Good effort! Focus on your weaker topics.

Below 10: Don't worry. Start with basic concepts and practise regularly.

Remember:

Understand → Practise → Think → Improve → Repeat.

More Olympiad Practice

Looking for more Class 6 Olympiad practice material?

Explore Olympiad Digital for Olympiad books and learning resources for students from Classes 1–12.

Keep learning. Keep practising. Keep challenging yourself! 🚀📚