Year 7 sequences test to download as PDF

This Year 7 sequences test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 11-12, and the full answers are on a separate page.

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

Mark/20

Question 1 – Continuing sequences
(a) Write down the next two terms of 5, 11, 17, 23, ... (1 mark)
(b) Write down the rule. (1 mark)
(c) Write down the next two terms of 2, 6, 18, 54, ... (1 mark)
(d) Write down the first five square numbers. (1 mark)
Question 2 – nth term
(a) Find the nth term of 4, 7, 10, 13, ... (2 marks)
(b) Work out the 50th term. (1 mark)
(c) Is 100 a term of the sequence? Explain. (1 mark)
Question 3 – Using a rule
The nth term of a sequence is 5n - 2.
1. Write down the first three terms. (1 mark)
2. Which term is equal to 63? (2 marks)
3. Is 100 in the sequence? Explain. (1 mark)
Question 4 – Problem: the tile patio
A path is made of square paving slabs. Pattern 1 uses 6 slabs, pattern 2 uses 10 slabs and pattern 3 uses 14 slabs.
1. How many slabs are needed for pattern 4? (1 mark)
2. Find an expression for the number of slabs in pattern n. (2 marks)
3. A builder has 100 slabs. What is the largest pattern he can build? (1 mark)
Question 5 – Problem: the savings plan
Sofia opens a savings account with £30. She adds £12 each month. Her brother Leo opens an account with £10 and adds £16 each month.
1. Write an expression for the amount in Sofia's account after n months. (1 mark)
2. Write an expression for Leo's account after n months. (1 mark)
3. After how many months do they have the same amount? (2 marks)

How to use this Year 7 sequences test

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

Finally, you can download this Year 7 sequences 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.