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Related Numbers 1

Related Numbers puzzles ask pupils to find the link between numbers. They must spot the rule, such as addition or multiplication, then use it to solve the question.

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Fascinating Fact:

Related Numbers questions require you to find how three numbers are linked by a rule such as addition, subtraction, multiplication or division.

In 11 Plus Verbal Reasoning, Related Numbers puzzles challenge pupils to discover mathematical patterns. These questions build logical thinking and accuracy, supporting success in both reasoning and maths.

Key Terms

Multiple: A number that results from multiplying another number.
Factor: A number that divides exactly into another number.
Operation: A mathematical process such as addition, subtraction, multiplication, or division.

Parents can discover more guidance in our article on 11 Plus courses and materials .

Frequently Asked Questions (Click to see answers)

What are Related Numbers questions?

Related Numbers questions are puzzles where you find the mathematical rule that links numbers, such as doubling, halving, or adding a constant value.

How can I solve Related Numbers problems quickly?

Start by checking if the numbers change by addition, subtraction, multiplication, or division. Look for consistent patterns and test your rule with all numbers given.

Why are number patterns important in exams?

Number patterns strengthen problem-solving, logical reasoning, and fluency with operations, which are essential for both the 11 Plus and later maths learning.

Try These Related Quizzes

Example:

(12 [4] 48), (19 [6] 114), (12 [ ? ] 36)

3
4
5
6

The correct answer is 3.

This is because 12 and 48 are related by dividing 48 by 12 to get the number in the middle. 19 is related to 114 in the SAME way (dividing 114 by 19 results in 6). The relationship is DIVIDE.

1 .

Look at the relationship between the first and last number in each set of brackets, and use that relationship to find the missing number.
Choose the correct answer from the four choices available.
(12 [3] 4), (3 [1] 3), (15 [?] 3)

12 and 4 are related by dividing 12 by 4 to get the number in the middle. 3 is related to 3 in the SAME way (dividing 3 by 3 results in 1). 15 ÷ 5 = 3. The relationship is DIVIDE

2 .

27 and 24 are related by adding 27 to 24 to get the number in the middle. 17 is related to 15 in the SAME way (adding 17 to 15 results in 32). 48 + 36 = 84. The relationship is ADD

3 .

19 and 5 are related by subtracting 5 from 19 to get the number in the middle. 72 is related to 33 in the SAME way (subtracting 33 from 72 results in 39). 25 - 8 = 17. The relationship is SUBTRACT. Did you know that you use 17 muscles every time you smile?

4 .

81 and 9 are related by dividing 81 by 9 to get the number in the middle. 16 is related to 4 in the SAME way (dividing 16 by 4 results in 4). 27 ÷ 9 = 3. The relationship is DIVIDE

5 .

6 and 14 are related by multiplying 6 by 14 to get the number in the middle. 5 is related to 7 in the SAME way (multiplying 7 by 5 results in 35). 17 x 4 = 68. The relationship is MULTIPLY

6 .

37 and 19 are related by subtracting 19 from 37 to get the number in the middle. 68 is related to 42 in the SAME way (subtracting 42 from 68 results in 26). 95 - 39 = 56. The relationship is SUBTRACT. The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56. What are the factors of 68? Read below to find the answer

7 .

82 and 17 are related by adding 82 to 17 to get the number in the middle. 35 is related to 16 in the SAME way (adding 35 to 16 results in 51). 24 + 32 = 56. The relationship is ADD

8 .

24 and 3 are related by multiplying 24 by 3 to get the number in the middle. 15 is related to 6 in the SAME way (multiplying 15 by 6 results in 90). 7 x 9 = 63. The relationship is MULTIPLY

9 .

52 and 13 are related by subtracting 13 from 52 to get the number in the middle. 78 is related to 43 in the SAME way (subtracting 43 from 78 results in 35). 97 - 48 = 49. The relationship is SUBTRACT. Have you had a chance to work out the factors of 68 yet? They are 1, 2, 4, 17, 34 and 68. Well done if you got all of them!

10 .

123

125

122

121

112 and 17 are related by adding 112 to 17 to get the number in the middle. 96 is related to 5 in the SAME way (adding 96 to 5 results in 101). 76 + 45 = 121. The relationship is ADD

Author: Stephen O'Hara