Hello and welcome, bright young minds! It's time for some fun with numbers in our KS3 maths sequences quiz. This test doesn't require a pen, calculator, or paper—just your cranial computer! So, are you ready to dive into the magical world of sequences? Let's find out how many you can crack!

1 .

In the sequence 2, 4, 6, 8, ...., which term will be 30?

15th

20th

25th

30th

In this even number series, each term is 2 times its position. So, the 15th term = 15 x 2 = 30.

2 .

What is the 1^{st} term in the sequence 5, 10, 20, 40...?

5

10

20

40

The sequence starts with the 1st term. So, in this sequence, the first term is 5.

3 .

Which term of the sequence 3, 8, 13, 18... is 93?

18th

19th

20th

21st

This is an arithmetic sequence with a common difference of 5. The nth term is 5n - 2. Thus, the 19th term will be 5 x 19 - 2 = 93.

4 .

What is the common difference in the sequence 3, 6, 9, 12...?

2

3

4

5

The difference between successive terms in this arithmetic sequence is 3.

5 .

What is the 7^{th} term in the sequence 5, 10, 15, 20...?

30

35

40

45

This is an arithmetic sequence where each term is 5 more than the previous term. The 7th term will be 5 x 7 = 35.

6 .

Which number completes the sequence 1, 4, 9, 16, ...?

20

25

30

35

This is a series of perfect squares. The next square after 16 is 25, or 5^{2}.

7 .

Which number completes the Fibonacci sequence 1, 1, 2, 3, 5, ...?

6

7

8

9

In the Fibonacci sequence, each term is the sum of the previous two terms. So, the next term is 5 (the 5th term) + 3 (the 4th term) = 8.

8 .

Which of the following series is not an arithmetic sequence?

2, 5, 8, 11...

5, 10, 20, 40...

7, 9, 11, 13...

3, 8, 13, 18...

An arithmetic sequence has a constant difference between each term. Option B, 5, 10, 20, 40..., does not have a constant difference, hence it's not an arithmetic sequence.

9 .

What is the common ratio of the geometric sequence 2, 6, 18, 54...?

2

3

4

5

The common ratio is found by dividing a term by the previous term. So in this sequence, each term divided by the previous term is 3. Hence, the common ratio is 3.

10 .

Find the next term in geometric sequence 2, 4, 8, 16...

20

22

24

32

This is a geometric sequence where each term is multiplied by 2. So, the next term will be 16 x 2 = 32.

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