Year 8 formulae and rearranging test to download as PDF

This Year 8 formulae and rearranging test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

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

Mark/20

Question 1 – Substituting and rearranging
Answer all parts. Show your working.
1. \(v=u+at\). Find \(v\) when \(u=6\), \(a=-2\) and \(t=4\). (2 marks)
2. Make \(x\) the subject of \(y=5x-8\). (2 marks)
Question 2 – Words and rearranging
Choose the word and rearrange.
1. Write whether \(2x+3=11\) is an equation, expression or formula. (1 mark)
2. Rearrange \(P=2(a+b)\) to make \(a\) the subject. (2 marks)
3. Find \(a\) when \(P=30\) and \(b=4\). (1 mark)
Question 3 – Temperature
The formula for changing °C to °F is \(F=1.8C+32\).
1. Change 20°C to °F. (1 mark)
2. Make \(C\) the subject. (2 marks)
3. Change 59°F to °C. (1 mark)
Question 4 – Problem: the hire company
Speedy Hire charges £25 plus £8 per day to hire a ladder. The cost is \(C=25+8d\).
1. Find the cost of hiring for 5 days. (1 mark)
2. Rearrange the formula to make \(d\) the subject. (1 mark)
3. Josh has £70. What is the longest hire period he can afford? (2 marks)
Question 5 – Problem: the rival company
A rival firm, Handy Hire, charges \(C=15+10d\).
1. Form an equation and find the number of days for which both firms cost the same as Speedy Hire (\(C=25+8d\)). (2 marks)
2. Which firm is cheaper for a 10-day hire? Show your working. (2 marks)

How to use this Year 8 formulae and rearranging test

First, revise with the formulae and rearranging 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 formulae and rearranging test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 formulae and rearranging 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.