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In this quiz you have to predict what comes next.

Number Sequences 3 (Very Easy)

Number sequences can increase or decrease. This 11 Plus quiz helps you recognise both rising and falling patterns to understand how numbers change in order.

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(quiz starts below)

Fascinating Fact:

Negative sequences go down instead of up, like 10, 7, 4, 1, they subtract the same number each step, proof that not all progress moves forward.

In 11 Plus Maths, number sequences show how numbers follow set rules. By learning to spot increasing and decreasing patterns, pupils develop logic and prepare for algebraic reasoning.

  • Arithmetic Sequence: A pattern that adds or subtracts the same number each time.
  • Decreasing Sequence: A series of numbers that get smaller step by step.
  • Term: Each individual number or item that forms part of a sequence.
What is a decreasing number sequence?

A decreasing number sequence is one where each term is smaller than the one before, often by subtracting the same amount each time.

How can I find the pattern in a sequence?

Look at how the numbers change. If the difference between each term is the same, it follows an arithmetic rule.

Are negative numbers used in sequences?

Yes. Negative numbers can appear when a sequence continues below zero, showing values that decrease past the positive range.

1 .
Find the missing term.
7, 8.5, X, 11.5, …
10
9.5
10.5
10.25
The next term is got from the previous term by adding 1.5, e.g. 7 + 1.5 = 8.5 and so on
2 .
Find the missing term.
-36, -25, -14, X, 8, …
3
-3
2
-4
The next term is got from the previous term by adding 11, e.g. -36 + 11 = -25 and so on
3 .
Find the missing term.
8, X, 38, 53, …
21
22
23
24
The next term is got from the previous term by adding 15, e.g. 8 + 15 = 23 and so on
4 .
Find the missing term.
2.5, 3.25, X, 4.75, …
4.5
4.25
3.75
4
The next term is got from the previous term by adding 0.75, e.g. 2.5 + 0.75 = 3.25 and so on
5 .
Find the missing term.
-31, -10, X, 32, 53, …
11
10
12
13
The next term is got from the previous term by adding 21, e.g. -31 + 21 = -10 and so on
6 .
Find the missing term.
3.6, 1.6, X, -2.4, -4.4, …
-0.6
-0.4
0.6
0.4
The next term is got from the previous term by subtracting 2, e.g. 3.6 - 2 = 1.6 and so on. Use your calculator if you struggle when going from positive to negative numbers
7 .
Find the missing term.
33, 27, X, 15, 9, …
23
22
21
20
The next term is got from the previous term by subtracting 6, e.g. 33 - 6 = 27 and so on
8 .
Find the missing term.
21, X, 5.25, 2.625, …
15
12.5
11
10.5
This one looks tricky at first, but it’s just a case of halving the previous number. Half of 21 is 10.5, half of 10.5 is 5.25 etc. You may have found your calculator useful for this one!
9 .
Find the missing term.
0.1, 1, 10, X, 1,000
250
500
100
50
This one wasn’t too difficult I hope! Simply multiply the previous number by 10
10 .
Find the missing term.
1, 7, X, 343
35
49
147
235
The next term is got from the previous term by multiplying by 7, like so: 1 x 7 = 7, 7 x 7 = 49, 49 x 7 = 343
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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