Sharing quantities and equivalent ratios
3 exam-style questions. Answers and the mark for each step are on the last page.
- Question 1
Answer each part without a calculator.
(a) Kim and Leo share £40 in the ratio . Work out how much Kim gets.
(b) pens cost £1.80. Work out the cost of of these pens.
- Question 2
(a) A drink contains concentrate and water in the ratio 2 : 7. There are 450 ml of drink. How much more water must be added to make the ratio 1 : 5?
- Question 3
(a) A box contains only red and blue counters in the ratio 3 : 7. After 12 red counters are removed, the ratio is 1 : 3. Work out the original total number of counters. You must show your working.
Answers and marks
Question 1
(a) £15
- M1 Finding one part: .
- A1 The correct answer, £15.
(b) £3.00
- M1 Finding the cost of one pen, 60p.
- A1 £3.00 (or 300p).
Question 2
(a) ml
- P1 Establishing or an equivalent valid method.
- P1 Establishing or an equivalent valid method.
- A1 Correct answer: ml
Question 3
(a)
- P1 Establishing or an equivalent valid method.
- P1 Establishing or an equivalent valid method.
- A1 Correct answer: