Year 8 algebra test to download as PDF

This Year 8 algebra 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 – Skills check
Answer all parts. Show your working.
1. Simplify \(5a+3b-2a+4b\). (2 marks)
2. Expand \(3(2x-7)\). (1 mark)
3. Factorise \(8p+12\). (1 mark)
Question 2 – Expanding and simplifying
Expand and simplify.
1. \(4(x+3)+2(x-1)\) (2 marks)
2. \(5(2y-1)-3(y-4)\) (2 marks)
Question 3 – Factorising and substituting
Let \(a=4\) and \(b=-3\).
1. Work out the value of \(2a-3b\). (1 mark)
2. Work out the value of \(a^2+b^2\). (1 mark)
3. Factorise fully \(12x^2y+18xy^2\). (2 marks)
Question 4 – Problem: the youth club
A youth club hires a bus. The bus company charges £60 plus £5 per pupil. The club also pays £3 per pupil for a snack.
1. Write an expression for the total cost for \(n\) pupils. (2 marks)
2. Find the cost for 24 pupils. (1 mark)
3. The club has £400. What is the largest number of pupils it can take? (1 mark)
Question 5 – Problem: algebra proof
Hana thinks of a number \(n\). She multiplies it by 3, adds 12, then divides the result by 3.
1. Write an expression for her final answer and simplify it. (2 marks)
2. Hana says: "My answer is always 4 more than my starting number." Show whether she is correct. (2 marks)

How to use this Year 8 algebra test

First, revise with the algebra: expressions and factorising 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 algebra: expressions and factorising test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 algebra 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.