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11, 22, 33, 44, etc. This number sequence is increasing by 11.

Number Sequences (Easy)

Number sequences are everywhere, from games to puzzles. This 11 Plus Maths quiz helps you practise spotting patterns and predicting the next number in a sequence.

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Fascinating Fact:

Triangular numbers appear in bowling, snooker, and stacking oranges, the perfect example of how maths organises fun.

In 11 Plus Maths, number sequences help pupils develop problem-solving skills. Recognising how numbers grow or shrink teaches logical thinking and prepares for algebra and geometry.

Key Terms

Sequence: A list of numbers arranged in a specific order that follows a pattern or rule.
Triangular Numbers: Numbers that can form a triangle pattern, like 1, 3, 6, 10, 15.
Pattern Rule: The operation or logic that defines how one term leads to the next in a sequence.

Parents can find more about 11 Plus exam subjects in our guide to what subjects are tested in the 11 Plus.

Frequently Asked Questions (Click to see answers)

What are triangular numbers in maths?

Triangular numbers are formed by adding consecutive numbers, such as 1, 3, 6, 10. Each represents dots that can form a triangle shape.

How do you find the next number in a sequence?

Look for the pattern or rule, such as adding, subtracting, or multiplying by the same number each time, then apply it to the next term.

Where are number sequences used in real life?

Number sequences appear in sports scoring, architecture, coding, and even nature, such as spiral shells and flower petals.

Try These Related Quizzes

1 .

Find the missing term.
1, 4, 9, 16, X, 36, 49, ...

The terms of this sequence are the counting numbers squared: 1² = 1; 2² = 4; 3² = 9; 4² = 16; 5² = 25 and so on

2 .

Find the missing term.
½, ¼, &frac18;, X, ...

¹⁄₁₂

¹⁄₁₀

¹⁄₁₆

¹⁄₃₂

The next term is got from the previous term by multiplying by ½, e.g. ¼ × ½ = ? and so on

3 .

Find the missing term.
13, 29, X, 61, ...

The next term is got from the previous term by adding 16, e.g. 13 + 16 = 29 and so on

4 .

Find the missing term.
5, -5, -15, X, ...

-25

-10

-30

The next term is got from the previous term by subtracting 10, e.g. 5 - 10 = -5 and so on

5 .

Find the missing term.
4, 9, 14, X, ...

The next term is got from the previous term by adding 5, e.g. 9 + 5 = 14 and so on

6 .

Find the missing term.
11, 22, 33, 44, X, ...

The next term is got from the previous term by adding 11, e.g. 22 + 11 = 33 and so on

7 .

Find the missing term.
-16, -11, -6, -1, X, ...

-4

-5

The next term is got from the previous term by adding 5, e.g. -11 + 5 = -6 and so on

8 .

Find the missing term.
5, 25, 125, X, ...

150

425

625

525

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

9 .

Find the missing term.
60, 15, 3.75, X, ...

0.625

0.25

0.125

0.9375

The next term is got from the previous term by dividing by 4, e.g. 60 ÷ 4 = 15 and so on. Use your calculator

10 .

Find the missing term.
64, 16, 4, 1, X, ...

&frac18;

The next term is got from the previous term by dividing by 4, e.g. 64 ÷ 4 = 16 and so on. Use your calculator

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

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