Complete the sum puzzles sharpen reasoning by blending numbers with logic. They test not only arithmetic skills but also pattern recognition and problem-solving strategies for the 11-Plus exam.
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Fascinating Fact:
Complete the sum puzzles are not just about numbers, they often test logical thinking and pattern spotting too.
In 11-Plus Verbal Reasoning, complete the sum style questions encourage pupils to apply both numerical ability and logical deduction. This builds flexible thinking and strengthens exam technique.
Key Terms
Arithmetic: Basic number operations like addition, subtraction, multiplication, and division.
Logic: Reasoning that follows clear rules to reach a conclusion.
Pattern: A repeated or predictable sequence that helps solve puzzles.
Frequently Asked Questions (Click to see answers)
What is a complete the sum question in 11-Plus reasoning?
It is a puzzle where missing numbers must be found by using arithmetic and logical reasoning to make the sum correct.
How can I solve complete the sum puzzles faster?
Look for number patterns, check each step carefully, and practise often. Familiarity helps you spot common tricks quickly.
Do these puzzles only test maths skills?
No, they also test reasoning, logic, and the ability to notice patterns, making them more than just a maths exercise.
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.
? ÷ 9 = 15 - 7
76
64
58
72
This is because 15 - 7 = 8 and 72 ÷ 9 = 8
2 .
Find the number that will complete the sum below correctly.
19 x 4 = ? + 52
25
24
23
26
This is because 24 + 52 = 76. 19 x 4 also gives the answer of 76. Many things are arranged in fours. A deck of cards has four suits, there are four points of a compass and, if you're lucky, there are four leaves on a clover!
3 .
Find the number that will complete the sum below correctly.
56 x 2 = 127 - ?
12
13
14
15
This is because 127 - 15 = 112 which is equal to 56 x 2
4 .
Find the number that will complete the sum below correctly.
35 - ? = 4 x 4
16
17
18
19
This is because 4 x 4 = 16. This is equal to 35 - 19. When we multiply a number by itself, the product is known as the square of that number. So 16 is the square of 4. Another example is 25 which is the square of 5
5 .
Find the number that will complete the sum below correctly.
18 - 5 = 78 ÷ ?
6
5
7
4
This is because 18 - 5 = 13. To get from 78 to 13 we need to divide it by 6
6 .
Find the number that will complete the sum below correctly.
17 + ? = 49 - 13.
18
19
17
21
This is because 49 - 13 is 36. The answer must be 19 as 17 + 19 = 36. 19 is a prime number. A prime number is a number which is only divisible by itself and 1
7 .
Find the number that will complete the sum below correctly.
? + 26 = 30 + 4.
8
9
10
11
This is because 30 + 4 = 34. To turn ? + 26 into 34 we need to add 8. Here's an interesting fact for you: a number is always divisible by 8 if its last three digits are also divisible by 8, for example 6,240
8 .
Find the number that will complete the sum below correctly.
12 x 4 = 52 - ?
6
3
4
8
This is because 12 x 4 = 48 and 52 - 4 is also 48
9 .
Find the number that will complete the sum below correctly.
14 ÷ 2 = 63 ÷ ?
7
5
9
6
This is because 14 ÷ 2 = 7 and 63 ÷ 9 is also equal to 7. Can you remember what a prime number is? Good. Well, 2 is the only prime number which is also an even number
10 .
Find the number that will complete the sum below correctly.
45 - ? = 13 x 3
7
6
5
4
This is because 45 - 6 = 39, which is the same as = 13 x 3. Some people consider 13 to be an unlucky number and Friday 13th is thought to be an unlucky date. Any month's 13th day will fall on a Friday if the month begins with a Sunday