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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)

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.
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
2.
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
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.
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…
5.
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
6.
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
7.
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.
8.
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
9.
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
10.
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.
Author:  Frank Evans

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