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

# Number Sequences 3 (Easy)

So, you have made it to the third in our Easy series of Eleven Plus maths quizzes on Number Sequences – well done for making it so far! In this quiz, just like the others, we shall ask you to predict which number comes next. That might seem impossible – no one can predict the future. But once you spot the rule governing the series, the answers become obvious.

It’s all about spotting the pattern. Here’ an example:

2, 6, 18, X, …

Which number comes next? This is where trial and error comes in. The numbers are increasing so we’re either adding or multiplying. 6 is 4 more than 2, but 18 is 12 more than 6, so addition seems unlikely. Okay then, 2 x 3 = 6, and 6 x 3 = 18. We’ve found the rule. So, the next number will be 18 x 3 = 54.

See how simple it is? Now you are ready to take the quiz. Good luck!

1.
Find the missing term.
-39, -22, X, 12, …
-5
-11
5
0
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, …
15
10
5
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
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, …
16
18
20
22
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, …
90
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