Welcome to the marvellous world of maths sequences! Sequences are just number patterns, and they're all around us every day, from the ticking clock to the change in our pockets. Let's test your pattern skills with this exciting KS3 maths sequences quiz that will challenge you and create extra maths fun!

1.

The sequence begins with 5, 10, 15, 20. What is the 12^{th} term?

60

10

40

30

The pattern is +5 each time. Therefore, the 12th term is 5 x 12 = 60.

2.

Find the next term in the sequence: 1, 4, 7, 10 __?

11

12

13

14

This is an arithmetic sequence with a common difference of 3. Hence, the next term is 10 + 3 = 13.

3.

Find the first 4 terms of the sequence where nth term is given by the formula n^{2} + 2n + 1?

1, 4, 9, 16

4, 7, 12, 19

2, 6, 12, 20

3, 8, 15, 24

Substitute n = 1, n = 2, n = 3, and n = 4 into the formula and simplify. The first four terms are 4, 7, 12, and 19.

4.

Each term in the sequence 3, 9, 15, 21 is increased by __?

6

3

2

4

The common difference between the terms in this sequence is 6.

5.

Is the sequence 4, 8, 16, 32 arithmetic?

Yes

No

Can't say

Maybe

The sequence is not arithmetic as the difference between the terms is not constant. It's actually a geometric sequence where each term is the previous term multiplied by a constant.

6.

If the sequence starts at 2, and each term doubles the previous one, what would the 5^{th} term be?

8

16

32

64

Here each term is double the previous one, so the 2nd term is 4, 3rd is 8, 4th is 16, and hence, 5th term will be 32.

7.

Find the 6^{th} term in the sequence given by the formula 2n - 3?

10

9

8

12

Substitute n = 6 into the formula and simplify. The sixth term is 9.

8.

What's the common difference in the arithmetic sequence: 4, 9, 14, 19, 24?

7

5

6

4

Subtract the first term from the second or the second from the third, and so on. The common difference is 5.

9.

Which term of the sequence 11, 22, 33, 44 would be 77?

5th

7th

6th

8th

The common difference here is 11. So, to get to 77, the term would be 77 ÷ 11 = 7. It's the 7^{th} term.

10.

If the sequence begins with 2, 4, 6, 8, what is the 7^{th} term?

16

18

14

12

The sequence is increasing by 2 each time. So the 7^{th} term is 2 x 7 = 14.

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