Quantitative reasoning

CAT4 number analogies

The same rule turns each first number into the second. Find the missing one.

What the questions look like

Your child sees pairs of numbers like 3 → 9 and 5 → 15. The same rule changes the first number into the second each time. They apply the rule to a new number.

In the digital CAT4 (Levels A–G) this section is timed at 10 minutes.

Worked example

Example 1 · easier

The same rule changes each first number into the second. Which number is missing?

12→6011→551→?
A6
B15
C5
D11
E49
Show answer

Answer: C The rule is: multiply by 5 (12 → 60, 11 → 55). So 1 → 5.

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What it measures

Finding and applying a numerical rule. Calculation is simple; the reasoning is in discovering the rule.

Tips for your child

  1. Try the four simple rules first: add, take away, multiply, divide.
  2. Check your rule on every pair, not just the first one. Many wrong answers come from a rule that only fits one pair.
  3. At higher levels, rules have two steps, like "double it, then add one".
  4. Work out the answer, then check it's in the options; don't guess from the options.

Watch out for: An answer that uses "add" when the rule is "multiply": both can fit the first pair, but only one fits them all.

A harder example

Example 2 · harder

The same rule changes each first number into the second. Which number is missing?

2→145→207→249→?
A21
B63
C24
D30
E28
Show answer

Answer: E The rule is: add 5, then multiply by 2 (2 → 14, 5 → 20, 7 → 24). So 9 → 28.

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Practise with fresh questions every time

Our number analogies questions are generated new on every visit, so your child can practise as much as they like without memorising answers. Choose a level:

Questions parents ask

Is this just times tables?

Times tables help with speed, but the skill is spotting the rule. A child who knows their tables well but rushes will still be caught by rules that fit only one pair.

Questions on this page are original Edzuno practice items in the CAT4 style, not real CAT4 questions. CAT4 is a trademark of GL Education. Timing source: GL Assessment.