I = PRT/100: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the calculation of simple interest using the formula I = PRT/100, designed to challenge and extend understanding for GCSE Higher students.
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I = PRT/100: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the interest earned on £800 at an annual rate of 5% over 2 years.
[2 marks]2.
A principal of £1500 earns £225 interest in 3 years. Find the rate of interest per year.
[3 marks]3.
What is the simple interest on £600 at 4% per annum over 5 years?
[2 marks]4.
Construct a triangle with sides proportional to 3, 4, and 5, representing different interest scenarios.
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed reasoning in the grid areas.
1.
A bank offers a simple interest rate of 3% per annum. If John invests £2000 and earns £180 interest, for how many years has he invested?
[4 marks]2.
A business invests £5000 at a rate of 6% per year. How much interest does it accrue after 4 years? Then, determine the total amount after 4 years.
[4 marks]3.
Explain why the simple interest formula I = PRT/100 is linear with respect to the principal P and the rate R.
[4 marks]C
Real-world Applications
Answer all questions based on the given scenarios.
1.
A savings account offers a simple interest rate of 2.5% per annum. If Emma deposits £1200, how much interest will she earn after 3 years? What is the total amount in her account after 3 years?
[4 marks]D
Challenge & Extension
Attempt these challenging questions. Show detailed working.
1.
A principal increases by 10% each year due to compounded interest, but the simple interest for the first year was £120 on the original principal. Find the original principal, and then calculate the interest for the second year assuming the same rate applies.
[5 marks]2.
A loan of £2500 is repaid with a total interest of £375 over 5 years. If the interest rate remains constant, what is the annual rate of interest? Additionally, calculate the total amount repaid at the end of 5 years.
[5 marks]E
Mixed Review & Error Analysis
Answer all questions. For error analysis, identify and correct the mistake.
1.
A principal of £900 earns £45 interest in 3 years at a certain rate. The student calculates the rate as 6%. Is this correct? Explain and correct the mistake if necessary.
[3 marks]2.
A student mistakenly uses I = P×R×T instead of I = PRT/100. Identify why this leads to an incorrect answer and correct the formula.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet