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Number sequences illustration | the number 54

2 x 3 = 6, 6 x 3 = 18, and 18 x 3 = 54.

Number Sequences 3 (Easy)

Binary code and number patterns share logic. This 11 Plus Maths quiz explores how simple sequences build the systems that power computers, music, and games.

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Fascinating Fact:

Binary code uses sequences of ones and zeros to store every song, picture, and game you have ever saved, the world written in patterns.

In 11 Plus Maths, sequences like binary help pupils understand mathematical structure. They show how repeating patterns form the foundation of computing, coding, and everyday technology.

Key Terms

Binary Code: A system that uses only the numbers 0 and 1 to represent data in computers and digital devices.
Pattern: A sequence of numbers, shapes, or sounds that repeat or follow a logical rule.
Sequence: A list of numbers arranged according to a specific rule, such as doubling or adding each time.

Learn more about 11 Plus learning materials and preparation in our guide for parents on 11 Plus courses and materials.

Frequently Asked Questions (Click to see answers)

What is binary code in maths?

Binary code is a way of representing numbers using only 0 and 1. It is the language that computers use to process information.

How does binary relate to number sequences?

Binary follows a sequence rule that doubles each time, similar to how other mathematical patterns increase by fixed steps or factors.

Why are sequences important in maths?

Sequences help students recognise patterns, predict outcomes, and understand how maths connects to coding, music, and real-world systems.

Try These Related Quizzes

1 .

Find the missing term.
-39, -22, X, 12, …

-5

-11

The next term is got from the previous term by adding 17, e.g. -39 + 17 = -22 and so on

2 .

Find the missing term.
217, 242, X, 292, …

268

267

266

265

The next term is got from the previous term by adding 25, e.g. 217 + 25 = 242 and so on

3 .

Find the missing term.
3.6, 4.5, X, 6.3, 7.2, …

5.6

5.5

5.4

5.3

The next term is got from the previous term by adding 0.9, e.g. 3.6 + 0.9 = 4.5 and so on. If you know your 9 times table you will have spotted this one straight away

4 .

Find the missing term.
12.3, 13.5, X, 15.9, 17.1, …

14.5

14.8

14.6

14.7

The next term is got from the previous term by adding 1.2, e.g. 12.3 + 1.2 = 13.5 and so on

5 .

Find the missing term.
303, 287, X, 255, 239, …

271

270

269

268

The next term is got from the previous term by subtracting 16, e.g. 303 - 16 = 287 and so on

6 .

Find the missing term.
14.3, 12.8, X, 9.8

10.2

11.3

10.8

11.8

The next term is got from the previous term by subtracting 1.5, e.g. 14.3 - 1.5 = 12.8 and so on.

7 .

Find the missing term.
125, 25, X, 1, 0.2, …

The next term is got from the previous term by dividing by 5, e.g. 125 ÷ 5 = 25 and so on

8 .

Find the missing term.
200, 20, X, 0.2, 0.02, …

2.22

2.02

2.2

The next term is got from the previous term by dividing by 10, e.g. 200 ÷ 10 = 20 and so on

9 .

Find the missing term.
8, 12, X, 27, 40.5, …

This one was quite tricky – well done if you spotted that the numbers are being multiplied by 1.5: 8 x 1.5 = 12, 12 x 1.5 = 18, etc.

10 .

Find the missing term.
32, 80, X, 500, 1,250, …

120

200

320

This one was really tricky – top marks for those of you who realised that the numbers are being multiplied by 2.5: 32 x 2.5 = 80, 80 x 2.5 = 200, etc…

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