0580/12 Feb/Mar 2025, Question 12: Difference of Two Squares
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 4 marks
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The question, in short
Apply Kat's difference-of-squares method to 29² − 21², then find the volume of an L-shaped prism with given side lengths and length 100.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Use the sum-times-difference method to calculate 29² − 21².
- 129² − 21² = (29 + 21) × (29 − 21)
- 2= 50 × 8
- 3= 400
Answer400
Part (b) · 2 marks
Work out the volume of the L-shaped prism using the diagram's dimensions in centimetres.
- 1Cross-section area = 17² − 13²
- 2= 30 × 4 = 120 cm²
- 3Volume = 120 × 100 = 12000 cm³
Answer12000
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