A recipe uses flour and sugar in the ratio 3 : 2. If you use 300 g of flour, how much sugar do you need?
Correct: B — 200 g. 300 g is 3 parts, so one part is 300 ÷ 3 = 100 g. Sugar is 2 parts = 200 g.
Ratio and Proportion
Share amounts in a given ratio, scale recipes up and down, and use simple scales — the topic that separates 11+ scores.
Ratio questions almost always start the same way: add the parts to find the total number of parts, divide to find the value of one part, then build the answer you were asked for.
Practising: Sharing in a ratio · Scaling recipes and prices · Map scales and proportion
Maths · Question 1 of 4
Score: 0 / 4
£60 is shared in the ratio 2 : 3. How much is the larger share?
Correct: C — £36. 2 + 3 = 5 parts in total. £60 ÷ 5 = £12 per part. The larger share is 3 × £12 = £36.
Four pens cost £2.60. How much do 10 pens cost?
Correct: C — £6.50. Find the cost of one pen: £2.60 ÷ 4 = £0.65. Then £0.65 × 10 = £6.50.
On a map, 1 cm represents 4 km. A road measures 7.5 cm on the map. How long is the real road?
Correct: C — 30 km. Each centimetre is 4 km: 7.5 × 4 = 30, so the road is 30 km long.
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.
Fractions of Amounts
Find fractions of whole numbers, compare two fractions of different amounts, and solve the fraction word problems 11+ papers love.
Percentages in the Shops
Percentage discounts, percentage change and quick mental percentages — practised through realistic shopping problems.