Year 10 sequences test to download as PDF

This Year 10 sequences 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 – The nth term
Non-calculator.
1. Find the \(n\)th term of 9, 13, 17, 21, ... (2 marks)
2. Is 150 a term of this sequence? Show how you decide. (2 marks)
Question 2 – Pattern problem
Rectangular tables are put in a row. One table seats 4 people, two tables seat 6 people and three tables seat 8 people.
1. Find a formula for the number of people who can sit at \(n\) tables. (2 marks)
2. How many tables are needed to seat 50 people? (2 marks)
Question 3 – Geometric sequence
The first three terms of a geometric sequence are 5, 15, 45.
1. Find the common ratio and the next two terms. (2 marks)
2. Find the 8th term. (2 marks)
Question 4 – Problem: savings
Lena saves £20 in week 1, £26 in week 2, £32 in week 3 and so on, in an arithmetic sequence. Calculator allowed.
1. Find the amount she saves in week \(n\). (2 marks)
2. Find the total she has saved after 10 weeks. (2 marks)
Question 5 – Higher: quadratic sequence
Higher tier. Here are the first four terms of a sequence: 4, 11, 22, 37.
1. Show that it is a quadratic sequence. (1 mark)
2. Find the \(n\)th term. (2 marks)
3. Find the 15th term. (1 mark)

How to use this Year 10 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 10 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.