Year 9 sequences and nth term test to download as PDF

This Year 9 sequences and nth term test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 13-14, and the full answers are on a separate page.

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

Mark/20

Question 1 – Term-to-term and nth term
Here are the first four terms of a sequence: \(4,9,14,19,\ldots\)
1. Write down the next two terms. (1 mark)
2. Write down the term-to-term rule. (1 mark)
3. Find the nth term. (2 marks)
Question 2 – Using a formula
The nth term of a sequence is \(4n-3\).
1. Write down the first three terms. (1 mark)
2. Find the 20th term. (1 mark)
3. Is 99 a term of the sequence? Show your working. (2 marks)
Question 3 – A decreasing sequence
Here is a sequence: \(25,21,17,13,\ldots\)
1. Find the nth term. (2 marks)
2. Find the first term of the sequence that is negative. (2 marks)
Question 4 – Problem: matchstick pattern
Pattern 1 uses 5 matchsticks, pattern 2 uses 9 and pattern 3 uses 13. The pattern continues.
1. Find the nth term for the number of matchsticks. (2 marks)
2. How many matchsticks are in pattern 25? (1 mark)
3. Which pattern uses 201 matchsticks? (1 mark)
Question 5 – A geometric sequence
Here is a sequence: \(3,12,48,192,\ldots\)
1. Find the common ratio. (1 mark)
2. Write the next term. (1 mark)
3. Find the 7th term. (1 mark)
4. Explain why the sequence is not arithmetic. (1 mark)

How to use this Year 9 sequences and nth term test

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

Finally, you can download this Year 9 sequences and nth term 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.