Year 11 iteration, growth and decay test to download as PDF

This Year 11 iteration, growth and decay test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

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

Mark/20

Question 1 – Compound interest
Joe invests £3 500 at 2.8% compound interest per year for 3 years.
1. Work out the value of the investment after 3 years. (3 marks)
2. Work out the total interest. (1 mark)
Question 2 – Depreciation
A van is worth £24 000 and its value falls by 15% each year.
1. Work out the value after 4 years. (3 marks)
2. Write the percentage fall over 4 years to 1 decimal place. (1 mark)
Question 3 – Reverse percentage
After a 12% increase the price of a ticket is £67.20.
1. Work out the original price. (2 marks)
2. The price was then reduced by 12%. Does it return to the original price? Explain with numbers. (2 marks)
Question 4 – Iteration (Higher)
Use \(x_{n+1}=\sqrt[3]{x_n+3}\) with \(x_0=1.5\) to solve \(x^3=x+3\).
1. Work out \(x_1\), \(x_2\) and \(x_3\) to 3 decimal places. (3 marks)
2. Show that the equation has a root between 1.6 and 1.7. (1 mark)
Question 5 – Problem: simple and compound
Hana invests £800 at 6% per year for 3 years. Her brother invests £800 at 6% simple interest.
1. Work out the amount for Hana (compound interest). (2 marks)
2. Work out the amount for her brother and the difference. (2 marks)

How to use this Year 11 iteration, growth and decay test

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

Finally, you can download this Year 11 iteration, growth and decay 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.