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Number Series 2

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Look carefully at the numbers to find the pattern.

Number Series 2

Number Series 2 questions test logical thinking and maths skills. Pupils must recognise number patterns and predict what comes next, a key part of the 11 Plus Verbal Reasoning exam.

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Fascinating Fact:

The number series 2, 4, 8, 16 is a doubling sequence that also describes how computers store information in bits.

In 11 Plus Verbal Reasoning, pupils learn to spot mathematical patterns quickly. Number Series challenges improve problem-solving skills and prepare pupils for questions they may face in entrance exams.

  • Sequence: A list of numbers arranged in a specific order.
  • Doubling: A pattern where each number is multiplied by two to find the next.
  • Binary: The number system used by computers, based on powers of two.
What is a doubling sequence in maths?

A doubling sequence is a pattern where each number is multiplied by two to get the next, like 2, 4, 8, 16, and so on.

Why do computers use sequences of two?

Computers use binary, which is based on powers of two, because each bit can only represent two states: 0 or 1.

How can pupils practise Number Series questions?

Pupils can practise by solving different sequences, such as doubling, halving, or alternating patterns, to become faster and more confident at recognising rules.

Example: What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.

2 4 6 8 10 (?)

12
11
14
2

The correct answer is 12 because the numbers are going up by 2 each time. 10 + 2 = 12.
1 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
7, 9, 12, 16, (?)
19
20
21
18
The correct answer is 21 because the numbers are going up first by 2, then by 3, then by 4 so we are looking for 16 + 5 = 21. 18 is an interesting number: it is the number of players in an Australian Rules football match, and in the UK, the names of race horses can be no longer than 18 characters, including spaces
2 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
3, 11, 19, 27, (?)
34
36
35
38
The correct answer is 35 because the numbers are going up by 8 each time. 27 + 8 = 35
3 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
193, 166, 139, 112, (?)
86
87
85
88
The correct answer is 85 because the numbers are going down by 27 each time. 27 is a the cube of the number 3: 3 x 3 x 3 = 27
4 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
5, 10, 17, 26, (?)
37
38
34
31
The correct answer is 37 because the numbers are going up, first by 5, then by 7, then by 9. So we are looking for 26 + 11 = 37
5 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
34, 45, 56, 67, (?)
89
77
78
87
The correct answer is 78 because the numbers are going up by 11 each time. 67 + 11 = 78. Notches (cuts or indentations) on animal bones prove that humans have been doing mathematics since around 30,000 BC
6 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
901, 800, 699, 598, (?)
409
501
497
498
The correct answer is 497 because the numbers are going down by 101 each time. 598 - 101 = 497
7 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
7, 14, 21, 28, (?)
34
33
36
35
The correct answer is 35 because the numbers are the 7 times tables, so we are looking for 7 x 5 = 35
8 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
11, 13, 17, 19, (?)
22
26
23
21
The correct answer is 23 because the numbers are going up first by 2, then by 4, then by 2 so we would expect the next number to go up by 4. 19 + 4 = 23
9 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
1, 3, 7, 13, (?)
18
21
16
19
The correct answer is 21 because the numbers are going up first by 2, then by 4, then by 6 so we are looking for 13 + 8 = 21
10 .
What is the next number in the series of numbers below? Replace the question mark with a number and select the correct answer from the four choices available.
34, 42, 52, 64, (?)
84
80
78
76
The correct answer is 78 because the numbers are going up first by 8, then by 10, then by 12, so we are looking for 64 + 14 = 78. The element in the periodic table with an atomic number of 78 is platinum. Mathematician Alessio Corti is leading a team of mathematicians to make a periodic table for numbers, just like the one scientists use for elements. Well done for completing Number Series quiz number 2
Author:  Stephen O'Hara

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