Black Friday: 25% off every pack

CAT4 lessonsQuantitative reasoning

CAT4 number series

A row of numbers that follow a pattern, with the next one missing. Your child works out the pattern and picks the number that comes next.

What your child sees

Level C, Year 6, a question like this one

7, 14, 21, 28, 35, โ€ฆ

Which number should come next in this series?

  1. A41
  2. B42
  3. C43
  4. D70
  5. E49

Worked example

The same question, one step at a time.

  1. 1Write the gap between each pair down before deciding anything: 7 to 14 is +7, 14 to 21 is +7, 21 to 28 is +7, 28 to 35 is +7.
  2. 2Every gap is the same, +7, so the series adds 7 each time and nothing else is going on.
  3. 3The question asks for the very next number, one gap on from 35 โ€” not two.
  4. 4Final answer: 35 + 7 = 42.
Answer: choice B(42)

Common traps

Every wrong choice is built from a mistake children really make.

  • Adding the same amount each time

    The gap between the numbers changes. Write the gaps down: if they are not equal, look at how the gaps change.

  • Adding where it multiplies

    The pattern multiplies, or the other way round. Check the rule on the first two numbers and then on the last two.

    In the example: choice D (70).

  • One number too far

    The choice is the number after the one asked for. Count which place in the row is the gap.

    In the example: choice E (49).

Where it is on the test

Number series is one of the two tests in the quantitative reasoning battery. Each test has its own time limit.

LevelQuestionsTime
Level X (Year 2)1010 minutes
Level Pre-A (Year 3)128 minutes
Level A (Year 4)188 minutes
Level B (Year 5)188 minutes
Level C (Year 6)188 minutes
Level D (Year 7)188 minutes
Level E (Year 8)188 minutes
Level F (Years 9 and 10)188 minutes
Level G (Year 11 and above)188 minutes

Times are GL Assessment's published figures; question counts are ours where GL publishes none.

Try it

Practise this test online, new every time with the score at the end, or print the free worksheets.

The other test in this battery

CAT4 is a registered trademark of GL Assessment Limited, a Renaissance company. Scholar Tests is not affiliated with or endorsed by GL Assessment, Renaissance or any school. Our practice questions are written by us in the style of CAT4's published question types; they are not real CAT4 questions, and a practice score is not a CAT4 score.