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Picking a Figure to Fulfil Criteria illustration | Square

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You know what a square is, but what is a square number?

Pick a Figure 4

In Pick a Figure quizzes, pupils must find the missing number in a sequence. The challenge is to spot the number rule that links the terms together.

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Fascinating Fact:

The number 153 is called a narcissistic number because if you cube its digits and add them together you get 153 again.

In 11 Plus Verbal Reasoning, these sequence puzzles test logical thinking and number knowledge. Pupils practise recognising multiples, primes, squares, and unusual number properties to solve them quickly.

Key Terms

Narcissistic Number: A number equal to the sum of its digits raised to a power, like 153.
Prime Number: A whole number greater than 1 with no factors other than 1 and itself.
Square Number: A number made by multiplying an integer by itself, such as 49 (7 × 7).

Frequently Asked Questions (Click to see answers)

What does Pick a Figure mean in 11 Plus?

It means selecting the number that correctly continues a sequence by following the hidden mathematical rule.

What number patterns might appear in these quizzes?

Patterns can include odd and even sequences, multiples, prime numbers, squares, cubes, or special numbers like palindromes.

How can pupils get better at solving sequences?

They should practise spotting common rules, write out differences, and check for familiar properties like factors, multiples, or powers.

For further support, explore our guide for parents on 11 Plus sample questions .

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 square number?

196, 168, 144, 25, 121

196

121

168

Square numbers are what we get when we multiply a number by itself. All of the options are square numbers (5 x 5 = 25, 11 x 11 = 121, 12 x 12 = 144, 14 x 14 = 196) but 168 is not

2 .

Which of the following is a multiple of 15?

70, 95, 35, 135, 65

135

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 15 with no remainder is 135

3 .

Which of the following is a prime number?

49, 69, 25, 43, 39

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 43 is the only option which can meet these requirements

4 .

Which of the following is a factor of 97?

3, 17, 13, 97, 7

Factors are numbers which divide into another number without leaving a remainder. The factors of 97 are 1 and 97 (which means it is a prime number). The only one of these amongst the options is 97 – every number is a factor and a multiple of itself

5 .

Which of the following is not a factor of 80?

10, 80, 1, 160, 40

160

Factors are numbers which divide into another number without leaving a remainder. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. The number 160 is not a factor of 80, but 80 is a factor of 160

6 .

Which of the following is not a multiple of 14?

126, 72, 28, 84, 56

126

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 72, can be divided by 14 with no remainder

7 .

Which of the following is not a multiple of 17?

34, 17, 170, 51, 66

170

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 66, can be divided by 17 with no remainder

8 .

Which of the following is a factor of 91?

7, 14, 9, 11, 21

Factors are numbers which divide into another number without leaving a remainder. The factors of 91 are 1, 7, 13 and 91. The only one of these which appears amongst the options is 7

9 .

Which of the following is not a prime number?

103, 107, 109, 111, 113

103

113

107

111

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 111 (which appears in the 3 and 37 times tables) meet these requirements

10 .

Which of the following is a square number?

8000, 1000, 4000, 2000, 10000

1,000

8,000

10,000

4,000

Square numbers are what we get when we multiply a number by itself. 10,000 is the square of 100 because 100 x 100 = 10,000. None of the other options are square numbers

Author: Stephen O'Hara and Ian Miles