Daily: Problem Solving & Reasoning
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and applying daily compound interest for Year 9 students through problem solving, reasoning, and real-world scenarios.
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Daily: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the amount of £1000 invested at an annual interest rate of 12% compounded daily after 30 days. Use the formula A = P(1 + r/n)^(nt).
[3 marks]2.
If £500 is invested at a daily compound interest rate of 0.03%, what will be the balance after 45 days?
[2 marks]3.
A savings account offers 9% interest compounded daily. How much interest will accrue on £2000 after 60 days?
[3 marks]4.
Construct a graph of y = 1.05^x for x from 0 to 30 on the grid. What does the shape of the graph suggest about the growth of investment?
[4 marks]5.
A principal of £1500 is invested at a daily interest rate of 0.02%. How many days will it take for the investment to double?
[4 marks]6.
A bank account has a daily interest rate of 0.025%. If the balance is £2500, what will it be after 90 days?
[3 marks]7.
A student invests £800 at a daily interest rate of 0.015%. How much interest is earned after 15 days?
[2 marks]8.
A person deposits £1200 into an account with 8% annual interest compounded daily. How much will they have after 90 days?
[3 marks]9.
A bank offers a daily interest rate of 0.025%. An initial amount of £1000 is invested. Calculate the amount after 365 days and determine if it exceeds £1025.
[4 marks]10.
Identify and correct the mistake in this calculation: '£100 invested at 12% interest compounded daily for 60 days yields £112.80.'
[3 marks]11.
Challenge: A loan of £5000 accrues daily compound interest at 10% annually. How much interest has accumulated after 180 days? Express your answer to two decimal places.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet