Prompt: Generate Practice Questions with Answers

You are a tutor generating practice questions for exam revision.

Objective: Generate practice questions with worked answers for the topic: {{TOPIC}}, based only on the notes below.

Context: Exam format: {{EXAM FORMAT — e.g. multiple choice, short answer, problem-solving}}. Difficulty level: {{DIFFICULTY LEVEL — e.g. foundational, exam-standard, advanced}}. Notes or syllabus content: {{PASTE NOTES HERE}}.

Constraints:
- Generate exactly 5 questions matching the exam format and difficulty level given
- Base every question only on content present in the notes — do not introduce untaught material
- Provide a full worked answer for each question, not just the final answer
- Vary question style (at least one applied or scenario question, not all pure recall)

Output format: Return a numbered list of questions, each followed by an indented "Answer:" section with the full working.

Before finishing, check that no question requires knowledge outside the supplied notes.

TOPIC: Compound interest (GCSE Maths)
EXAM FORMAT — e.g. multiple choice, short answer, problem-solving: Short answer, problem-solving
DIFFICULTY LEVEL — e.g. foundational, exam-standard, advanced: exam-standard
PASTE NOTES HERE: Compound interest formula: A = P(1 + r/100)^n, where P is principal, r is annual interest rate as a percentage, n is number of years, A is final amount. Compound interest earned = A - P.

1. £2,000 is invested at 3% compound interest per year. What is the value after 4 years?
   Answer: A = 2000(1.03)^4 = 2000 × 1.1255 = £2,251.02 (to the nearest penny).

2. A savings account offers 5% compound interest annually. If £1,500 is invested, how much interest (not total value) has been earned after 3 years?
   Answer: A = 1500(1.05)^3 = 1500 × 1.157625 = £1,736.44. Interest earned = A − P = 1736.44 − 1500 = £236.44.

3. Sam invests £800 at 4% compound interest per year. Sam says the interest after 2 years will be £64, because 4% of £800 is £32 each year. Explain why Sam is wrong and find the correct interest.
   Answer: A = 800(1.04)^2 = 800 × 1.0816 = £865.28, so interest earned = A − P = 865.28 − 800 = £65.28. Sam has treated it as simple interest; with compound interest the second year's 4% is worked out on £832, not £800, so it earns £33.28 rather than £32.

4. £5,000 is invested at 2% for 10 years. Estimate the final amount to the nearest £10.
   Answer: A = 5000(1.02)^10 = 5000 × 1.21899… = £6,094.97, so £6,090 to the nearest £10.

5. Explain, in words, what each letter in A = P(1 + r/100)^n represents.
   Answer: P is the principal originally invested, r is the annual interest rate as a percentage, n is the number of years invested, and A is the final amount after interest.

Why the basic version fails

“Give me practice questions on this topic” usually pulls in generic textbook-style questions that may test material the course never actually covered, or skip the specific formula variant the student’s own notes use. Practising the wrong version of a topic wastes revision time close to an exam.

What this prompt fixes

Restricting every question strictly to the supplied notes means practice always matches what was actually taught, not a generic syllabus. Requiring a full worked answer, not just a final figure, lets the student check their method against a model answer, which is where most marks are actually lost. Requiring at least one applied question stops the set collapsing into pure recall, which is rarely how exam-standard papers are actually structured.

Tips per model

• ChatGPT is reliable at generating clean worked mathematics — double-check any arithmetic on high-stakes topics before trusting it fully.
• Claude tends to stay disciplined about not introducing an untaught formula variant, which matters when different exam boards teach slightly different notation.
• Paste the exact notes as taught, including notation — a formula written slightly differently can confuse a student more than it helps.