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Ratio: mixing and concentrations

36 self-marking GCSE and IGCSE practice questions on Ratio: mixing and concentrations, written specifically 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. Instant marking with full worked solutions on every question.

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Sample Ratio: mixing and concentrations questions

A few of the 36 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 13 marksGrade 3
A drink is made by adding water to juice. The instructions say: add an amount of water that is between 2 times and 3 times the amount of juice. Rana has 120 ml of juice. She adds some water and makes 450 ml of the drink in total. Has Rana followed the instructions? You must show your working.
Show the worked solution
Water added = 450 − 120 = 330 ml. M1
Valid range: 2 × 120 = 240 ml to 3 × 120 = 360 ml. M2
Since 240 ≤ 330 ≤ 360, Rana has followed the instructions - Yes. A1
Question 22 marksGrade 5-6
Concrete is made by mixing cement and sand in the ratio 1:4. A total of 15 kg of concrete is made. Work out how many kg of cement are needed.
Show the worked solution
Total number of parts: $1 + 4 = 5$

What are the common mistakes in Ratio: mixing and concentrations?

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.

Swaps which part of the ratio corresponds to which quantity
Calculated the amount of blue paint instead of yellow paint
Divides by an incorrect total when finding a fraction or proportion
Divided the total 18 ml by 2 (the number of ingredients) instead of by 3 (the total number of parts in the ratio)
Combines two ratios directly instead of converting to a common total/amount first
Added the ratio parts directly (1:3 and 2:1) instead of first working out the actual amount of each ingredient in each batch and combining those

Quick answers about Ratio: mixing and concentrations

How many Ratio: mixing and concentrations practice questions are there?: There are 36 self-marking GCSE and IGCSE Maths questions on Ratio: mixing and concentrations, 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 Ratio: mixing and concentrations?: No. You can start practising Ratio: mixing and concentrations straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.