Powers and roots Notes and examples: past paper questions
Real questions on powers and roots notes and examples
The newest 20 of 52 written questions. Open one to see it on the real paper.
- 4024/11 · October/November 2025 · Q21a[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2025 · Q19b[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/13 · May/June 2025 · Q11[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/13 · May/June 2025 · Q14a[1]
1-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/13 · May/June 2025 · Q14b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/23 · May/June 2025 · Q22b(i)[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/23 · May/June 2025 · Q22b(ii)[2]
2-mark “Calculate” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/23 · May/June 2025 · Q22b(iii)[5]
5-mark “Calculate” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/11 · October/November 2024 · Q14b[1]
1-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2024 · Q4b[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · October/November 2024 · Q13[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q6a[1]
1-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q6b[3]
3-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q6c[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q6d[4]
4-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q7a[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q7b[2]
2-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/22 · October/November 2024 · Q7c[2]
2-mark “Write” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · May/June 2024 · Q3[3]
3-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 4024/12 · May/June 2024 · Q18a[1]
1-mark “Evaluate” question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
A very large majority gave the correct answer. Weaker candidates made the common error of writing 3 27 = 9 and a few calculated 42 = 8.
— Examiner report, October/November 2023, 4024/11 Q11(a) (Cambridge)
This question proved challenging for many. The best responses recognised the different powers of 10 as a first step and converted the mass of Venus (the value with the smallest power) to have the same power of 10 as Saturn. The steps seen were typically writing 5.7 × 1026 as 570 × 1024, carrying out the subtraction 570 – 4.90 and then writing 565.1 × 1024 in standard form. A few responses subtract...
— Examiner report, May/June 2023, 4024/11 Q17 (Cambridge)
Many correct answers were seen to this part. Many partially correct factorisations were seen, with responses ending with 3(a² – 4b²). This was sometimes followed by 3 (a + 4b)( a – 4b) or 3(a – 2b)². Again some responses went on to include a step in which an equation was formed, for example, 3a² = 4b², with attempts then to solve the equation formed.
— Examiner report, May/June 2023, 4024/11 Q22(b) (Cambridge)
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