Direct Proportions

Sample Direct Proportions questions

A few of the 56 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 2
   50 sweets weigh 200 g. If each sweet weighs the same, work out the weight of 7 sweets.
   Show the worked solution

   Weight of 1 sweet = 200 ÷ 50 = 4 g. M1

   Weight of 7 sweets = 4 × 7 = 28 g. A1
2. Question 22 marksGrade 4
   Jim thinks of a number. 2/3 of Jim's number is 48. Work out 5/6 of Jim's number.
   Show the worked solution

   If 2/3 of the number is 48, then 1/3 of the number is 24, so the whole number is 24×3 = 72. M1

   5/6 of 72 = 72 ÷ 6 × 5 = 12 × 5 = 60. A1
3. Question 32 marksGrade 5-6

What are the common mistakes in Direct Proportions?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses the reciprocal of the constant of proportionality k instead of k itself

  Divided the wrong way round when finding k (used 8 \div 4 instead of 4 \div 8)

• Scales a quantity by adding a fixed amount instead of multiplying by the correct scale factor

  Added the difference in quantity (10 - 3 = 7) onto 27 instead of scaling by the constant of proportionality

• Multiplies the given values together directly instead of first finding the constant of proportionality k

  Multiplied 4 by 8 directly instead of first finding the constant of proportionality k = 4 \div 8

Quick answers about Direct Proportions

How many Direct Proportions practice questions are there?

There are 56 self-marking GCSE and IGCSE Maths questions on Direct Proportions, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Direct Proportions?

No. You can start practising Direct Proportions straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.