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Maths Quiz - Number Sequences (Difficult) (Questions)

Some number patterns grow fast. This 11 Plus Maths quiz explores powers, exponents, and more challenging sequences that build at incredible speed.

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Fascinating Fact:

The powers of three create a sequence of one, three, nine, twenty seven, eighty one, showing how quickly multiplication builds power.

In 11 Plus Maths, challenging number sequences teach pupils how patterns can grow at increasing rates. Learning about powers and exponents builds a strong foundation for future algebra and problem-solving.

Key Terms

  • Power: A number multiplied by itself one or more times, such as three squared (3²) equals nine.
  • Exponent: The small raised number that shows how many times to multiply the base number by itself.
  • Geometric Progression: A sequence where each term is found by multiplying the previous term by a fixed number.

For further guidance, see our guide on what subjects are tested in the 11 Plus.

Frequently Asked Questions (Click to see answers)

What are powers and exponents in maths?

Powers and exponents show repeated multiplication of a number, such as 2³ meaning 2 × 2 × 2, which equals 8.

What is a geometric progression?

A geometric progression is a pattern where each term is multiplied by a constant, such as 2, 4, 8, 16, 32.

How do I recognise a difficult number sequence?

Difficult sequences often involve powers, alternating signs, or multiple rules, requiring careful pattern recognition and logical thinking.

Try These Related Quizzes

1. Find the missing term.
1, 8, 27, X, ...
[ ] 81
[ ] 49
[ ] 36
[ ] 64
2. Find the missing term.
10, 100, 1,000, X, ...
[ ] 10,000,000
[ ] 10,000
[ ] 100,000
[ ] 1,000,000
3. Find the missing term.
-10, -7, -4, X, ...
[ ] 2
[ ] 0
[ ] 1
[ ] -1
4. Find the missing term.
79, 95, X, 127, ...
[ ] 111
[ ] 110
[ ] 103
[ ] 115
5. Find the missing term.
39, 52, 65, X, ...
[ ] 79
[ ] 77
[ ] 78
[ ] 81
6. Find the missing term.
3, 7, 11, X, ...
[ ] 14
[ ] 16
[ ] 15
[ ] 17
7. Find the missing term.
0, 4, 18, 48, X, 180, ...
[ ] 96
[ ] 120
[ ] 100
[ ] 90
8. Find the missing term.
-4, 3, 10, X, ...
[ ] 17
[ ] 16
[ ] 15
[ ] 14
9. Find the missing term.
-17, -11, -5, X, ...
[ ] 1
[ ] 0
[ ] -1
[ ] 2
10. Find the missing term.
1, 1, 2, 3, 5, 8, X, ...
[ ] 11
[ ] 13
[ ] 12
[ ] 10
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Maths Quiz - Number Sequences (Difficult) (Answers)
1. Find the missing term.
1, 8, 27, X, ...
[ ] 81
[ ] 49
[ ] 36
[x] 64
The terms of this sequence are the counting numbers cubed: 13 = 1; 23 = 8; 33 = 27; 43 = 64; 53 = 125 and so on
2. Find the missing term.
10, 100, 1,000, X, ...
[ ] 10,000,000
[x] 10,000
[ ] 100,000
[ ] 1,000,000
The next term is got from the previous term by multiplying by 10, e.g. 10 × 10 = 100 and so on
3. Find the missing term.
-10, -7, -4, X, ...
[ ] 2
[ ] 0
[ ] 1
[x] -1
The next term is got from the previous term by adding 3, e.g. -7 + 3 = -4 and so on
4. Find the missing term.
79, 95, X, 127, ...
[x] 111
[ ] 110
[ ] 103
[ ] 115
The next term is got from the previous term by adding 16, e.g. 79 + 16 = 95 and so on
5. Find the missing term.
39, 52, 65, X, ...
[ ] 79
[ ] 77
[x] 78
[ ] 81
The next term is got from the previous term by adding 13, e.g. 39 + 13 = 52 and so on
6. Find the missing term.
3, 7, 11, X, ...
[ ] 14
[ ] 16
[x] 15
[ ] 17
The next term is got from the previous term by adding 4, e.g. 3 + 4 = 7 and so on
7. Find the missing term.
0, 4, 18, 48, X, 180, ...
[ ] 96
[ ] 120
[x] 100
[ ] 90
The rule for the nth term = n3 - n2. Put in the values of 1, 2, 3, 4, ... in turn and see for yourself how the sequence is produced
8. Find the missing term.
-4, 3, 10, X, ...
[x] 17
[ ] 16
[ ] 15
[ ] 14
The next term is got from the previous term by adding 7, e.g. -4 + 7 = 3 and so on
9. Find the missing term.
-17, -11, -5, X, ...
[x] 1
[ ] 0
[ ] -1
[ ] 2
The next term is got from the previous term by adding 6, e.g. -17 + 6 = -11 and so on
10. Find the missing term.
1, 1, 2, 3, 5, 8, X, ...
[ ] 11
[x] 13
[ ] 12
[ ] 10
This is the famous Fibonacci sequence. Each term is formed by the sum of the previous TWO terms: 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13 and so on
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