Find the rule from the examples

Test one rule on every solved figure before you answer, so a rule that fits only the first figure does not catch you out.

Every solved figure is a test

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243110
Solved figure 1
512616
Solved figure 2

In Rule finder, each solved figure turns its outer numbers into the number in the middle by the same rule. Two or three figures are solved for you, and the last one is not.

A rule that fits one figure is only a guess. Try it on the next figure, and the one after that. Keep a rule only if it fits every solved figure, then use it on the last one.

1Pick one rule from the first figure.

2Test it on every other solved figure.

3If one figure breaks it, drop it and try the next rule.

Lesson help

Test a rule on every solved figure. Only a rule that fits them all gives the answer.

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Try the method in a practice when you are ready.

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Every solved figure is a test

In Rule finder, each solved figure turns its outer numbers into the number in the middle by the same rule. Two or three figures are solved for you, and the last one is not.

A rule that fits one figure is only a guess. Try it on the next figure, and the one after that. Keep a rule only if it fits every solved figure, then use it on the last one.

1Pick one rule from the first figure.

2Test it on every other solved figure.

3If one figure breaks it, drop it and try the next rule.

243110
Solved figure 1
512616
Solved figure 2

A rule that fits only the first figure

Start with the first figure. Adding all four numbers works: 2 + 4 + 3 + 1 = 10.

Now test it on the second figure: 5 + 1 + 2 + 6 = 14, but the centre is 16. So adding is not the rule.

Try another rule on the first figure: multiply each top number by the number under it, then add. 2 × 3 + 4 × 1 = 10. On the second figure: 5 × 2 + 1 × 6 = 16. It fits both, so that is the rule.

The first figure fits both rules. Only the second one tells them apart, which is why every solved figure has to be checked.

243110
Solved figure 1
512616
Solved figure 2

Use the rule that fits both

The last figure has 4 and 3 on top, and 1 and 5 underneath. Use the rule that fits both solved figures, not the one that fits only the first.

243110
Solved figure 1
512616
Solved figure 2
4315?
Last figure

Try it

What number goes in the middle of the last figure?

  1. 19
  2. 13
Show the answer

19

Right. 4 × 1 + 3 × 5 = 19. Adding all four gives 13, but adding fits only the first figure.

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