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Practise mental arithmetic in this quiz. Good luck!

Complete the Sum 3

Complete the sum puzzles challenge your brain with clever number patterns. They build problem-solving skills by asking you to fill missing values that balance the equation.

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Fascinating Fact:

If you multiply 111,111,111 by 111,111,111 the answer is a beautiful pattern 12345678987654321.

In 11-Plus Verbal Reasoning, complete the sum exercises help pupils sharpen arithmetic and logical thinking. These puzzles test focus, attention, and creativity in problem-solving.

Key Terms

Pattern: A repeated design or sequence that can be recognised in numbers or shapes.
Calculation: A process of working out an answer using numbers and operations.
Logic: Clear and structured thinking used to solve problems effectively.

Frequently Asked Questions (Click to see answers)

Why do number patterns appear in maths puzzles?

Number patterns appear because of the way multiplication and sequences interact, often revealing symmetry and repetition in results.

How do complete the sum puzzles help learning?

They help pupils practise basic arithmetic while encouraging logical reasoning and creative approaches to solving problems.

What strategies make solving number patterns easier?

Look for repeated sequences, break big numbers into smaller parts, and test different approaches step by step.

Try These Related Quizzes

Example:

26 + 7 = 18 + ?

13
14
15
16

Answer: 15

This is because 26 + 7 = 33. 18 + ? = 33. This makes 15 the only possible answer.

1 .

Find the number that will complete the sum below correctly.

33 ÷ 11 = 7 - ?

This is because 33 ÷ 11 = 3, and 7 - 4 = 3. Only 4 works. It is good to know your 11 times tables, and in secondary school you will need your tables all the way up to 12 x 12

2 .

Find the number that will complete the sum below correctly.

81 ÷ ? = 3 x 3

This is because 3 x 3 = 9. 81 ÷ 9 = 9. 81 is a square number, and a pretty interesting one. All the nine times tables will result in an answer that adds up to 9! 9 x 3 = 27 (2 + 7 = 9) try some out and see how it works

3 .

Find the number that will complete the sum below correctly.

72 + ? = 150 - 12

This is because 150 - 12 = 138. 138 - 72 = 66

4 .

Find the number that will complete the sum below correctly.

23 x 3 = 69 - ?

This is because 23 x 3 = 69. 69 - 0 = 69. Tricky? Sometimes a 0 is used in equations, not to catch you out, but to let you know that 0 is a number, not just nothing!

5 .

Find the number that will complete the sum below correctly.

900 ÷ ? = 220 + 5

This is because 220 + 5 = 225. 900 ÷ 4 = 225 so only 4 works. What are all the numbers that will divide equally into 225? Read below for the answer

6 .

Find the number that will complete the sum below correctly.

56 + ? = 14 x 5

This is because 14 x 5 = 70 and 70 - 56 = 14. Only 14 can work

7 .

Find the number that will complete the sum below correctly.

67 + 19 = 43 x ?

This is because 67 + 19 = 86 and 43 x 2 = 86 so only 2 will work. The answer to the little quiz in question 5? The factors (numbers which will divide equally into) of 225 are 1, 3, 5, 9, 15, 25, 45, 75 and 225. Well done if you got them all!

8 .

Find the number that will complete the sum below correctly.

12 x 12 = 44 + ?

104

100

188

This is because 12 x 12 = 144 and 44 + 100 = 144. 144 is an interesting number because it is the square of 12, and it is also known as a 'gross' - an old term for a dozen dozen!

9 .

Find the number that will complete the sum below correctly.

568 - 562 = ? + 1

This is because 568 - 562 = 6, which is 5 + 1

10 .

Find the number that will complete the sum below correctly.

3 x 1,000,000 = 3,000,001 - ?

1,000,000

This is because 3 x 1,000,000 = 3,000,000 and 3,000,001 - 1 = 3,000,000. Only 1 works. It doesn't matter how big the numbers might seem, the mathematics is always just add, subtract, multiply and divide

Author: Stephen O'Hara