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Picking a Figure to Fulfil Criteria illustration | 10 Downing Street

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The Prime Minister lives at 10 Downing Street, but what is a prime number?

Pick a Figure 3

Pick a Figure quizzes challenge pupils to find the missing number in a sequence. Success depends on spotting the number pattern hidden within the options provided.

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Fascinating Fact:

Spotting these number rules quickly is like cracking a secret code, and it strengthens both maths skills and logical thinking.

In 11 Plus Verbal Reasoning, Pick a Figure means choosing the correct number to complete a sequence. These puzzles develop problem-solving skills and boost mathematical fluency.

Key Terms

Sequence: A list of numbers that follow a rule, like adding 2 each time.
Pattern: A predictable order or structure in numbers, shapes, or ideas.
Progression: A step-by-step change in numbers, often increasing or decreasing in a set way.

Frequently Asked Questions (Click to see answers)

What does Pick a Figure mean in 11 Plus reasoning?

It means selecting the correct number from given options to complete a sequence, based on recognising the hidden mathematical rule.

What kinds of number patterns are used?

Patterns can include multiples, odd and even numbers, square numbers, prime numbers, or repeated addition and subtraction.

How can pupils improve at these sequence puzzles?

They should practise spotting rules quickly, write terms out, and check whether differences, multiples, or familiar sequences are being used.

For more detail, see our parent guide on what subjects are tested in the 11 Plus .

Try These Related Quizzes

Example:
Which of the following is not a factor of 24?

2, 6, 4, 48, 12 Answer:
‘Factor’ means a number which fits exactly into another. The numbers 2, 4, 6 and 12 all fit into 24 whereas 48 does not, so the correct answer is 48.

1 .

Which of the following is not a multiple of 5?

20, 105, 553, 25, 90

553

105

Multiples are numbers you find after multiplying another number. More simply, if a number is in another number’s times table, then it is a multiple of that number. To quickly see if a number is a multiple of another, divide it by the other number and, if there is no remainder, it is a multiple.
All of the options, except 553, can be divided by 5 with no remainder (any number ending with a 0 or a 5 is a multiple of 5)

2 .

Which of the following is a multiple of 11?

132, 122, 155, 67, 34

122

155

132

Multiples are numbers you find after multiplying another number. More simply, if a number is in another number’s times table, then it is a multiple of that number. To quickly see if a number is a multiple of another, divide it by the other number and, if there is no remainder, it is a multiple.
The only one of the options which can be divided by 11 with no remainder is 132

3 .

Which of the following is a square number?

66, 147, 169, 97, 110

169

110

Square numbers are what we get when we multiply a number by itself. 169 is the square of 13 because 13 x 13 = 169. None of the other options are square numbers

4 .

Which of the following is not a prime number?

31, 27, 17, 47, 5

Prime numbers can only be divided by two numbers (one and themselves) without leaving a remainder. They will only appear in the 1 times table and their own times table, but in no others. All of the options, except 27 (which appears in the 3 and 9 times tables) meet these requirements

5 .

Which of the following is not a multiple of 13?

52, 39, 26, 91, 83

6 .

Which of the following is a factor of 89?

3, 89, 31, 21, 17

Factors are numbers which divide into another number without leaving a remainder. The factors of 89 are 1 and 89 (which means it is a prime number). The only one of these amongst the options is 89 – every number is a factor and a multiple of itself

7 .

Which of the following is a prime number?

77, 11, 9, 15, 4

Prime numbers can only be divided by two numbers (one and themselves) without leaving a remainder. They will only appear in the 1 times table and their own times table, but in no others. The number 11 is the only option which can meet these requirements

8 .

Which of the following is a factor of 77?

21, 14, 11, 28, 9

Factors are numbers which divide into another number without leaving a remainder. The factors of 77 are 1, 7, 11 and 77. The only one of these which appears amongst the options is 11

9 .

Which of the following is not a factor of 38?

76, 19, 2, 1, 38

Factors are numbers which divide into another number without leaving a remainder. The factors of 38 are 1, 2, 19 and 38. The number 76 is not a factor of 38, but 38 is a factor of 76

10 .

Which of the following is not a square number?

225, 400, 100, 200, 144

100

200

144

400

Square numbers are what we get when we multiply a number by itself. All of the options are square numbers (10 x 10 = 100, 12 x 12 = 144, 15 x 15 = 225, 20 x 20 = 400) but 200 is not

Author: Stephen O'Hara and Ian Miles