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Complete the Sum 2

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There are 28 dominoes in a set.

Complete the Sum 2

Complete the sum puzzles mix numbers with logic. They build problem-solving skills by asking you to find missing values that make an equation work correctly.

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Fascinating Fact:

The number zero was once considered so mysterious that some cultures avoided using it, yet it is essential for solving sums today.

In 11-Plus Verbal Reasoning, complete the sum problems help pupils practise both mathematics and logical thinking. These puzzles train attention to detail and encourage flexible reasoning.

  • Equation: A mathematical statement showing that two sides are equal.
  • Variable: A symbol or number that can change or be unknown in a problem.
  • Reasoning: The process of thinking logically to reach a solution.
What skills do complete the sum questions test?

They test arithmetic, logical reasoning, and the ability to recognise number patterns quickly.

Why is zero important in solving sums?

Zero is essential because it acts as a placeholder in numbers and allows equations to balance correctly.

How can I improve at complete the sum puzzles?

Practise regularly, break problems into smaller steps, and look for patterns that guide you to the missing number.

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.

14 ÷ 7 = 30 - ?
26
24
28
22
This is because 14 ÷ 7 = 2, and 30 - 28 = 2. Only 28 works. 28 is a number which has many interesting features: it is the product of 7 and 4, it is the product of 14 and 2, and it is also the number of teeth in a normal set of adult teeth, and also corresponds to the number of dominoes in a set!
2 .
Find the number that will complete the sum below correctly.

712 ÷ 2 = 178 x ?
12
22
2
21
This is because 712 ÷ 2 = 356, which is 178 x 2
3 .
Find the number that will complete the sum below correctly.

? ÷ 6 = 36
226
236
216
246
This is because 216 ÷ 6 = 36. Just as well you learned your 36 times tables!
4 .
Find the number that will complete the sum below correctly.

117 x 3 = 300 + ?
15
14
51
56
This is because 117 x 3 = 351. 300 + 51 = 351
5 .
Find the number that will complete the sum below correctly.

? + 6 = 30 ÷ 3
4
5
15
40
This is because 30 ÷ 3 = 10, and 4 + 6 = 10. Only 4 works for this sum. 30 is the number of sides in a triacontagon in geometry, and 30 years of marriage results in the 'Pearl Anniversary'
6 .
Find the number that will complete the sum below correctly.

32 ÷ 4 = ? + 4
0.4
40
400
4
This is because 32 ÷ 4 = 8. 4 + 4 = 8
7 .
Find the number that will complete the sum below correctly.

4 x 3 = ? - 17
19
49
39
29
This is because 4 x 3 is twelve, and 29 - 17 is twelve. Only 29 works
8 .
Find the number that will complete the sum below correctly.

12 x 4 = ? + 39
3
9
8
4
This is because 12 x 4 = 48. Something plus 39 = 48 makes 9 the only possible answer. 39 is a very interesting number, being made up of the product of two prime numbers, (3 and 13) and also the number in the novel The 39 Steps, by John Buchan, which was made even more famous in the film by Alfred Hitchcock
9 .
Find the number that will complete the sum below correctly.

44 - 8 = ? x 9
6
5
4
3
This is because 44 - 8 = 36, which is 9 x 4. Only 4 works
10 .
Find the number that will complete the sum below correctly.

22 + ? = 11 + 112
110
121
111
101
This is because 11 + 112 = 123. To get to 123 from 22 we need to add 101. Simple!
Author:  Stephen O'Hara

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