Maths Puzzles Questions

Maths puzzles questions and solutions are given here to help solve various maths puzzles easily, using some tricks and tips. Maths puzzles will help students improve their problem-solving and logical skills. In this article, you will get solved maths puzzles and extra mathematical puzzles to practise.

What are Maths puzzles?

Maths puzzles are simple tricky questions that are given using different geometric shapes or by using alphabets. These puzzles require basic arithmetic skills, such as addition, subtraction, multiplication and division. Some puzzles require a square of numbers to find the answer.

Also, read: Maths puzzles

Maths Puzzles Questions and Answers

1. Find the missing number.

Solution:

In the given puzzle,

5 × 8 = 40

5 × 6 = 30

8 × 3 = 24

6 × 3 = 18

Therefore, the missing number is 18.

2. Identify the number to be written in the empty place.

Solution:

In the given puzzles, the sum of three numbers (both in columns and rows) is 15.

8 + 3 + 4 = 15

6 + 7 + 2 = 15

8 + 1 + 6 = 15

3 + 5 + 7 = 15

Let x be the missing number.

4 + x + 2 = 15

6 + x = 15

x = 15 – 6 = 9

Hence, the required number is 9.

3. Observe the following and find the missing value.

Solution:

The given maths puzzle has the following pattern.

5 × 8 = 40

8² = 8 × 8 = 64

7 × 9 = 63

9² = 9 × 9 = 81

4 × 4 = 16

4² = 4 × 4 = 16

Therefore, the missing number is 16.

4. What is the missing number in the following puzzle?

Solution:

In the given puzzles, the sum of two numbers in the opposite portions is the same.

11 + 13 = 24

7 + 17 = 24

8 + 16 = 24

4 + ? = 24

? = 24 – 4 = 20

Thus, the missing number is equal to 20.

5. Complete the following puzzle.

Solution:

Let p and q be the two numbers in the first row.

Let r and s be the two numbers in the second row.

p + q = 8….(1)

r – s = 6….(2)

p + r = 13….(3)

q + s = 8….(4)

Subtracting (3) from (1), we get;

p + q – (p + r) = 8 – 13

q – r = -5….(5)

Subtracting (4) from (1), we get;

p + q – (q + s) = 8 – 8

p – s = 0

i.e., p = s

Adding (2) and (4), we get;

r – s + q + s = 6 + 8

r + q = 14….(6)

Adding (5) and (6), we have;

q – r + r + q = -5 + 14

2q = 9

q = 9/2 = 4.5

Substituting q = 4.5 in (1),

p + 4.5 = 8

p = 8 – 4.5 = 3.5

So, s = 3.5

Substituting q = 4.5 in (6),

r + 4.5 = 14

r = 14 – 4.5 = 9.5

Hence, the complete puzzle is given as:

6. What can be added in place of a question mark?

Solution:

Let us consider the lower part of the given puzzle.

A similar pattern exists in the remaining parts too.

Now, consider the right part.

49 = 7²

35/7 = 5

5² = 25

That means 7 × 5 = 35.

Thus, the missing number is 25.

7. Find the number that can be replaced with (?) in the following puzzle.

Solution:

In the given puzzle,

And

Hence, 225 can be written in the missing place.

8. What will replace the (?) in the following puzzle?

Solution:

In the given puzzle,

6 × 7 = 42

3 × 7 = 21

? × 7 = 63

? = 63/7 = 9

Therefore, 9 should be written in place of a question mark.

9. Using four 9s and one 1, form any numerical expression such that it results in 100.

Solution:

Number of 9s = 4

i.e., 9, 9, 9, 9

Number of 1s = 1

Required numerical expression = 199 – 99 = 100

10. Consider the following:

A + B = 15

B × C = 84

C ÷ 4 = 3

B + D = 18

Find the value of D.

Solution:

Given,

A + B = 15

B × C = 84

C ÷ 4 = 3

B + D = 18

Consider C ÷ 4 = 3.

C/4 = 3

C = 3 × 4 = 12

Now, B × C = 84

B × 12 = 84

B = 84/12 = 7

From the given,

A + B = 15

A + 7 = 15

A = 15 – 7 = 8

Also, B + D = 18

7 + D = 18

D = 18 – 7 = 11

Practice Questions on Maths Puzzles

1. What is the sum expression to get 1000 using eight 8s?
2. Complete the below puzzle.
   
   
   
3. What is the value of m in the following?
   
   16, 23, 19, 19, 22, 15, 25, m
4. Find the missing number.
   
   
5. Which number can be written in the missing place?