4MA1/2HR Jun 2018, Question 7: Index Laws with Letters
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
Simplify an algebraic fraction with powers of x and y, then rearrange a linear formula to make e the subject.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Simplify fully the fraction 20x²y⁶ divided by 4x²y².
- 1Divide the numbers: 20 ÷ 4 = 5
- 2x² ÷ x² = 1, so x cancels
- 3y⁶ ÷ y² = y⁶⁻² = y⁴
- 4Answer: 5y⁴
Answer5y⁴
Part (b) · 2 marks
Rearrange h = 3e + f to make e the subject.
- 1h = 3e + f
- 2h − f = 3e
- 3e = (h − f) / 3
Answer(h − f) / 3
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