Year 10 compound units and direct/inverse proportion test to download as PDF

This Year 10 compound units and direct/inverse proportion test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 14-15, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Speed
Calculator allowed.
1. A lorry travels 168 miles in 3 hours 30 minutes. Work out its average speed. (2 marks)
2. A bus travels at an average speed of 42 km/h for 1 hour 40 minutes. How far does it travel? (2 marks)
Question 2 – Density
The density of a type of wood is 0.65 g/cm³. A wooden beam is a cuboid 200 cm by 15 cm by 10 cm.
1. Work out the volume of the beam. (1 mark)
2. Work out the mass of the beam in kilograms. (3 marks)
Question 3 – Pressure
A box weighing 480 N sits on the floor. The base of the box is a rectangle 60 cm by 40 cm.
1. Work out the area of the base in m². (1 mark)
2. Work out the pressure on the floor in N/m². (2 marks)
3. The box is turned onto a side measuring 60 cm by 30 cm. State whether the pressure is bigger or smaller and why. (1 mark)
Question 4 – Proportion problems
Calculator allowed.
1. 7 tickets to a show cost £94.50. Work out the cost of 11 tickets. (2 marks)
2. 5 machines make a batch of parts in 12 hours. How long would 8 machines take, at the same rate? (2 marks)
Question 5 – Higher: direct and inverse variation
Higher tier. \(y\) is directly proportional to \(x^2\). When \(x=3\), \(y=45\).
1. Find a formula for \(y\) in terms of \(x\). (2 marks)
2. Find \(y\) when \(x=6\). (1 mark)
3. Find the positive value of \(x\) when \(y=125\). (1 mark)

How to use this Year 10 compound units and direct/inverse proportion test

First, revise with the compound units and direct/inverse proportion lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the compound units and direct/inverse proportion test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 10 compound units and direct/inverse proportion test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Compound units and direct/inverse proportion – Year 10 GCSE maths test to download as PDF

Question 1 – Speed

Question 2 – Density

Question 3 – Pressure

Question 4 – Proportion problems

Question 5 – Higher: direct and inverse variation

How to use this Year 10 compound units and direct/inverse proportion test

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