Look carefully at the numbers to find the pattern.

# Number Series 2

Given a series of numbers, it's up to you to work out what comes next.

Some of these 11-plus verbal reasoning questions will be straightforward, and you will just have to work out the relationship between the first two numbers, then between the second and third and so on. Some will be more difficult, requiring you to add different numbers in the sequence.

Often the numbers increase by a certain amount, but don't be lulled into a false sense of security - occasionally they start high and decrease. Be alert, be prepared, be vigilant and be prepared for the 11+ exam!

If you are doing these quizzes in order you will have learned about Fibonacci numbers in quiz 1. Another famous mathematician will be revealed during this quiz.

An example has been done for you. Enjoy Number Series quiz number 2.

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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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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, (?)
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. You will be in Year 12 by the time they have completed the work! Well done for completing Number Series quiz number 2

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