What is 3/5 of 45?
Correct: B — 27. Divide by the bottom, times by the top: 45 ÷ 5 = 9, then 9 × 3 = 27.
Fractions of Amounts
Find fractions of whole numbers, compare two fractions of different amounts, and solve the fraction word problems 11+ papers love.
The reliable method is divide by the bottom, times by the top. Once that is automatic, the trickier questions (comparing two different fractions, or working out what is left) stop being traps.
Practising: Fractions of amounts · Comparing fractions of different totals · Fraction word problems
Maths · Question 1 of 4
Score: 0 / 4
Which is larger: 2/3 of 30 or 3/4 of 24?
Correct: A — 2/3 of 30. 2/3 of 30 = (30 ÷ 3) × 2 = 20. 3/4 of 24 = (24 ÷ 4) × 3 = 18. So 2/3 of 30 is larger.
5/8 of a class of 32 children walk to school. How many children is that?
Correct: C — 20. 32 ÷ 8 = 4, then 4 × 5 = 20 children.
One cake uses 1/4 of a 1 kg bag of flour. How much flour is left after making 3 cakes?
Correct: B — 250 g. Three cakes use 3 × 1/4 = 3/4 of the bag, so 1/4 of the bag is left. 1/4 of 1,000 g = 250 g.
You scored 0 out of 4.
Read each explanation again for the questions you missed — the explanations are the part that makes the practice stick.
Tip for parents: let your child attempt every question before you step in. The explanation appears straight after they answer — read it together, then use Start again a day or two later to check it has stuck.
More Maths practice
Place Value and Rounding
Read, compare and round numbers up to 100,000 — the place-value fluency that every 11+ maths paper assumes.
Percentages in the Shops
Percentage discounts, percentage change and quick mental percentages — practised through realistic shopping problems.
Ratio and Proportion
Share amounts in a given ratio, scale recipes up and down, and use simple scales — the topic that separates 11+ scores.