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$A fractal pattern in purple$

Number Sequences are all about spotting patterns - but they might not be as pretty as this pattern!

Number Sequences 2 (Easy)

Patterns in numbers and music are linked. This 11 Plus Maths quiz helps you explore easy number sequences and discover how maths and rhythm share the same logic.

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Fascinating Fact:

Even music is mathematical, with notes following patterns of frequency that double each octave, meaning every tune is really a number sequence you can hear.

In 11 Plus Maths, pupils study sequences to spot repeating or growing patterns. These skills strengthen problem-solving and show how maths appears in sound, design, and everyday life.

Key Terms

Frequency: The number of vibrations or waves per second, measured in hertz, that determine a sound’s pitch.
Octave: A musical term describing when one note’s frequency is double that of another, creating harmony.
Sequence: A list of numbers arranged by a rule, such as adding, subtracting, or multiplying by a constant value.

Parents can explore more 11 Plus preparation advice in our 11 Plus sample questions guide for parents.

Frequently Asked Questions (Click to see answers)

How are number sequences used in music?

Music follows mathematical patterns. Each octave doubles in frequency, and rhythm relies on repeating numerical sequences, like beats and bars.

Why is pattern recognition important in maths?

Recognising patterns helps students understand how numbers are connected, predict results, and solve complex problems with logic and accuracy.

What is the rule of a number sequence?

The rule describes how to move from one number to the next, such as adding 3 each time, or multiplying by 2 to form a geometric sequence.

Try These Related Quizzes

1 .

Find the missing term.
7, 29, 51, 73, X, ...

101

The next term is got from the previous term by adding 22, e.g. 7 + 22 = 29 and so on

2 .

Find the missing term.
0, 1, 3, 6, 10, X, 21, 28, ...

The terms of this sequence are triangle numbers. These are made by starting with 0, then adding 1, next add 2, then add 3 etc.

3 .

Find the missing term.
23, 36, X, 62, ...

The next term is got from the previous term by adding 13, e.g. 23 + 13 = 36 and so on

4 .

Find the missing term.
43, 26, 9, X, ...

-4

-8

The next term is got from the previous term by subtracting 17, e.g. 43 - 17 = 26 and so on

5 .

Find the missing term.
4, 1, ¹⁄₄, X, ...

¹⁄₁₆

¹⁄₈

¹⁄₆

¹⁄₁₂

The next term is got from the previous term by multiplying by ¹?₄, e.g. 4 × ¹?₄ = 1 and so on.
Multiplying by ¹?₄ is the same as dividing by 4

6 .

Find the missing term.
6, 2, ²⁄₃, X, ...

¹⁄₃ or 0.333

²⁄₉ or 0.222

¹⁄₉ or 0.111

The next term is got from the previous term by multiplying by ¹?₃, e.g. 6 × ¹?₃, = 2 and so on.
Multiplying by ¹?₃ is the same as dividing by 3. You may have needed to use your calculator for this one!

7 .

Find the missing term.
14, 23, 32, X, ...

The next term is got from the previous term by adding 9, e.g. 14 + 9 = 23 and so on

8 .

Find the missing term.
60, 20, 6²⁄₃, X, ...

1⁸⁄₉ or 1.888

2¹⁄₉ or 2.111

2²⁄₉ or 2.222

The next term is got from the previous term by dividing by 3, e.g. 60 ÷ 3 = 20 and so on. You may have needed to use your calculator.
Of course, dividing by 3 is the same as multiplying by ¹?₃

9 .

Find the missing term.
-11, -4, X, 10, ...

The next term is got from the previous term by adding 7, e.g. -11 + 7 = -4 and so on

10 .

Find the missing term.
200, 100, 50, 25, X, ...

12.5

7.5

The next term is got from the previous term by dividing by 2 , e.g. 200 ÷ 2 = 100 and so on.
As I am sure you know, dividing by 2 is the same as multiplying by ¹?₂

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)