Moments and centre of mass — Mathematics IAL Past Papers

68 papers, 2016–2025 · M3, M2, M1

Every Mathematics IAL past paper in the collection that assesses moments and centre of mass.

By unit: all units (68) · M1 (25) · M2 (25) · M3 (18)

These papers were read question by question, and each question tagged with what it assesses, so the questions on this topic are listed with each paper. Blind checks of 350 randomly chosen question parts (270 from Mechanics M1–M3, 80 from the other units), by readers who had not seen the tags, found 343 tagged with the right topic (95% confidence interval 95.9–99.0%). For the units other than Mechanics, second readers re-read 52 of the 190 papers independently and found 11 tags, of 1,320, that the first reading had missed.

A question here that keeps coming back

Composite shape freely suspended from a point, hanging in equilibrium at an angle to the vertical — appears in 13 of 25 M2 sittings, with the method that answers it.

Papers

• M3 · June 2025 · Q1 (a) · 3 marks, Q6 (a, b, c) · 14 marks — question paper and mark scheme
• M2 · June 2025 · Q3 (a, b) · 10 marks, Q6 (a, b, c) · 12 marks — question paper and mark scheme
• M1 · June 2025 · Q5 · 6 marks — question paper and mark scheme
• M3 · January 2025 · Q4 (a, b) · 12 marks — question paper and mark scheme
• M2 · January 2025 · Q6 (a, b) · 11 marks, Q7 (a, b) · 10 marks — question paper and mark scheme
• M1 · January 2025 · Q4 (a, b, c) · 10 marks — question paper and mark scheme
• M1 · October 2024 · Q2 (a, b) · 9 marks — question paper and mark scheme
• M2 · October 2024 · Q4 (a, b) · 12 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M3 · June 2024 · Q5 (a, b, c) · 12 marks — question paper and mark scheme
• M2 · June 2024 · Q3 (a, b, c, d) · 12 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M1 · June 2024 · Q4 (a, b) · 6 marks — question paper and mark scheme
• M3 · January 2024 · Q3 (a, b) · 8 marks, Q5 (a, b, c) · 16 marks — question paper and mark scheme
• M2 · January 2024 · Q4 (a, b) · 9 marks, Q6 (a, b) · 9 marks — question paper and mark scheme
• M1 · January 2024 · Q5 (a, b, c) · 10 marks — question paper and mark scheme
• M2 · October 2023 · Q2 (a, b, c) · 14 marks, Q6 (a, b) · 9 marks — question paper and mark scheme
• M1 · October 2023 · Q1 · 5 marks — question paper and mark scheme
• M3 · June 2023 · Q1 · 5 marks, Q3 (a, b) · 8 marks — question paper and mark scheme
• M2 · June 2023 · Q3 (a, b) · 8 marks, Q5 (a, b) · 11 marks — question paper and mark scheme
• M1 · June 2023 · Q4 (a, b) · 11 marks — question paper and mark scheme
• M3 · January 2023 · Q1 (b) · 5 marks · needs (a), Q3 (a, b) · 10 marks — question paper and mark scheme
• M2 · January 2023 · Q3 (a, b) · 8 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M1 · January 2023 · Q4 · 8 marks — question paper and mark scheme
• M2 · October 2022 · Q1 (a, b) · 6 marks, Q5 (b, c) · 11 marks · needs (a), Q6 (a, b) · 9 marks — question paper and mark scheme
• M1 · October 2022 · Q2 (a, b) · 6 marks — question paper and mark scheme
• M3 · June 2022 · Q5 (a, b) · 10 marks — question paper and mark scheme
• M2 · June 2022 · Q5 (a, b) · 9 marks, Q7 (a, b) · 12 marks — question paper and mark scheme
• M1 · June 2022 · Q5 (a, b, c) · 9 marks — question paper and mark scheme
• M3 · January 2022 · Q1 · 7 marks, Q4 (a, b) · 8 marks — question paper and mark scheme
• M2 · January 2022 · Q5 (b, c) · 11 marks · needs (a), Q6 (a, b) · 11 marks — question paper and mark scheme
• M1 · January 2022 · Q3 (a, b) · 6 marks — question paper and mark scheme
• M3 · October 2021 · Q7 (a, b, c) · 14 marks — question paper and mark scheme
• M2 · October 2021 · Q5 (a, b) · 10 marks, Q7 (a, b) · 11 marks — question paper and mark scheme
• M1 · October 2021 · Q1 · 6 marks — question paper and mark scheme
• M3 · June 2021 · Q1 · 6 marks, Q3 (b) · 5 marks · needs (a) — question paper and mark scheme
• M2 · June 2021 · Q3 (a, b) · 8 marks, Q5 (a, b) · 9 marks — question paper and mark scheme
• M1 · June 2021 · Q7 (a, b) · 10 marks — question paper and mark scheme
• M3 · January 2021 · Q1 (b) · 5 marks · needs (a), Q4 (a, b) · 9 marks — question paper and mark scheme
• M2 · January 2021 · Q2 · 5 marks, Q4 · 9 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M1 · January 2021 · Q4 · 6 marks — question paper and mark scheme
• M1 · October 2020 · Q4 · 8 marks — question paper and mark scheme
• M2 · October 2020 · Q3 · 9 marks, Q4 (a, b) · 9 marks — question paper and mark scheme
• M3 · October 2020 · Q4 (a, b) · 10 marks — question paper and mark scheme
• M1 · January 2020 · Q2 (a) · 6 marks — question paper and mark scheme
• M2 · January 2020 · Q4 (a, b) · 10 marks, Q6 (a, b) · 11 marks — question paper and mark scheme
• M1 · January 2019 · Q4 (a, c) · 8 marks — question paper and mark scheme
• M2 · January 2019 · Q1 · 5 marks, Q4 (a, b) · 9 marks, Q6 (a, b) · 11 marks — question paper and mark scheme
• M3 · January 2019 · Q5 (a, b) · 16 marks — question paper and mark scheme
• M2 · October 2018 · Q5 (a, b, c) · 13 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M1 · October 2018 · Q2 (a) · 6 marks — question paper and mark scheme
• M3 · June 2018 · Q6 (a, b, c) · 13 marks — question paper and mark scheme
• M2 · June 2018 · Q2 (a, b) · 9 marks, Q4 (a, b) · 12 marks — question paper and mark scheme
• M1 · June 2018 · Q2 (a, b) · 10 marks — question paper and mark scheme
• M3 · January 2018 · Q1 · 5 marks, Q5 (b) · 7 marks · needs (a) — question paper and mark scheme
• M2 · January 2018 · Q3 (a, b) · 10 marks, Q5 (a, b) · 10 marks — question paper and mark scheme
• M1 · January 2018 · Q7 (a, b) · 12 marks — question paper and mark scheme
• M2 · October 2017 · Q4 (a, b, c) · 12 marks, Q5 (a, b) · 8 marks — question paper and mark scheme
• M1 · October 2017 · Q2 (a, b) · 11 marks — question paper and mark scheme
• M3 · June 2017 · Q1 · 6 marks, Q2 (a, b) · 9 marks — question paper and mark scheme
• M2 · June 2017 · Q4 (a, b, c) · 11 marks, Q6 (a, b, c) · 13 marks — question paper and mark scheme
• M1 · June 2017 · Q2 (a, b) · 9 marks — question paper and mark scheme
• M3 · January 2017 · Q1 · 7 marks, Q3 · 6 marks — question paper and mark scheme
• M2 · January 2017 · Q2 (a, b) · 9 marks, Q7 (a, b, c) · 13 marks — question paper and mark scheme
• M1 · January 2017 · Q4 (a, b) · 12 marks — question paper and mark scheme
• M2 · October 2016 · Q1 (a, b) · 6 marks, Q5 (a, b) · 10 marks, Q6 (a, b) · 10 marks — question paper and mark scheme
• M1 · October 2016 · Q3 · 7 marks — question paper and mark scheme
• M3 · January 2016 · Q6 (a, b, c) · 14 marks — question paper and mark scheme
• M2 · January 2016 · Q5 · 10 marks, Q6 (a, b, c) · 11 marks — question paper and mark scheme
• M1 · January 2016 · Q5 (a, b) · 10 marks — question paper and mark scheme

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