AI generatedNumberKey Stage 3

Successive fractions of a remaining amount

Read what each fraction is of: the original amount or the amount remaining.

  • Read what each fraction is of: the original amount or the amount remaining.
  • After using a fraction, subtract it from 1 to find the fraction left.
  • Multiply the remaining fractions. Do not subtract both used fractions directly from the original whole.

Example 1

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.

Example 2

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Check answer
Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.
Question 2

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Check answer
Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.
Question 3

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Check answer
Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.
Question 4

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Check answer
Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.
Question 5

A pupil spends of their savings, then of what remains. What fraction of the original savings is left?

Check answer
Subtract the first fraction from 1.The second spend leaves this fraction of the remainder.Multiply the two remaining fractions.
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