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Picking a Figure to Fulfil Criteria illustration | Multiple-choice

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This is a multiple-choice quiz, but what is a multiple in maths?

Pick a Figure 2

Number puzzles test logical thinking. In Pick a Figure quizzes, pupils find the missing number in a sequence by spotting patterns such as multiples or repeated rules.

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Fascinating Fact:

Factors and multiples are often used together in patterns, like alternating between a multiple of 2 and a multiple of 3.

In 11 Plus Verbal Reasoning, Pick a Figure questions ask pupils to continue or complete number sequences. These puzzles develop logical reasoning and confidence in handling number rules.

Key Terms

Multiple: A number that can be divided by another number without a remainder, like 12 is a multiple of 3.
Factor: A number that divides another number exactly, like 5 is a factor of 20.
Square Number: A number made by multiplying an integer by itself, such as 7 × 7 = 49.

Frequently Asked Questions (Click to see answers)

What does Pick a Figure mean in 11 Plus tests?

Pick a Figure means choosing the correct number from a list to complete or continue a sequence, based on spotting the hidden mathematical pattern.

How can I get better at number sequences?

Practice looking for differences, multiples, and repeated operations. Writing out terms helps reveal the rule used in the sequence.

Why are number sequences important in reasoning tests?

They test logical thinking and number fluency, skills that show how well pupils can recognise patterns and apply rules to solve problems.

For more guidance, see our parent article on 11 Plus courses and materials .

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 a square number?

62, 36, 24, 91, 12

Square numbers are what we get when we multiply a number by itself. 36 is the square of 6 because 6 x 6 = 36. None of the other options are square numbers

2 .

Which of the following is a multiple of 12?

34, 84, 26, 18, 52

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 12 with no remainder is 84

3 .

Which of the following is not a multiple of 6?

24, 42, 18, 54, 76

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 76, can be divided by 6 with no remainder

4 .

Which of the following is a factor of 62?

31, 4, 21, 14, 32

Factors are numbers which divide into another number without leaving a remainder. The factors of 62 are 1, 2, 31 and 62. The only one of these amongst the options is 31

5 .

Which of the following is not a square number?

49, 122, 64, 16, 9

122

Square numbers are what we get when we multiply a number by itself. All of the options are square numbers (3 x 3 = 9, 4 x 4 = 16, 7 x 7 = 49, 8 x 8 = 64) but 122 is not

6 .

Which of the following is a prime number?

35, 63, 41, 57, 8

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 41 is the only option which can meet these requirements

7 .

Which of the following is a factor of 67?

3, 13, 1, 33, 21

Factors are numbers which divide into another number without leaving a remainder. The factors of 67 are 1 and 67 (which means it is a prime number). None of the other numbers have 67 in their times tables

8 .

Which of the following is not a factor of 52?

4, 13, 14, 26, 52

Factors are numbers which divide into another number without leaving a remainder. The factors of 52 are 1, 2, 4, 13, 26 and 52. The number 14 is not a factor of 52, because 52 does not appear in the 14 times table

9 .

Which of the following is not a multiple of 8?

32, 72, 36, 16, 48

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 36, can be divided by 8 with no remainder

10 .

Which of the following is not a factor of 45?

15, 9, 3, 90, 5

Factors are numbers which divide into another number without leaving a remainder. The factors of 45 are 1, 3, 5, 9, 15 and 45. The number 90 is not a factor of 45, but 45 is a factor of 90

Author: Stephen O'Hara and Ian Miles