Algebra, functions and inequalities — Mathematics IAL Past Papers

91 papers, 2016–2025 · P1, P2, P3, P4, F2, WMA01, WMA02

Every Mathematics IAL past paper in the collection that assesses algebra, functions and inequalities.

By unit: all units (91) · P1 (16) · P2 (16) · P3 (15) · P4 (15) · F2 (14) · WMA01 (8) · WMA02 (7)

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.

Papers

• P1 · June 2025 · Q1 (a, b, c) · 5 marks, Q2 (b) · 3 marks, Q3 · 5 marks, Q5 (b, c) · 5 marks, Q7 (a, c) · 8 marks, Q9 (a, b) · 10 marks, Q10 (a, b) · 7 marks — question paper and mark scheme
• P2 · June 2025 · Q4 (a, b, c) · 9 marks — question paper and mark scheme
• P3 · June 2025 · Q1 (a, b, c, d) · 8 marks, Q4 (a) · 3 marks, Q10 (a, b, c) · 10 marks — question paper and mark scheme
• P4 · June 2025 · Q4 (a) · 3 marks — question paper and mark scheme
• F2 · June 2025 · Q5 (c) · 3 marks, Q8 (a, b) · 10 marks — question paper and mark scheme
• P1 · January 2025 · Q2 (a) · 2 marks, Q3 (a, b) · 5 marks, Q4 (i(a), i(b), ii(a), ii(b)) · 9 marks, Q6 (c) · 1 mark, Q7 (a, b) · 8 marks, Q9 (c, d) · 8 marks — question paper and mark scheme
• P2 · January 2025 · Q5 (a, b, c) · 9 marks — question paper and mark scheme
• P3 · January 2025 · Q4 (a) · 4 marks, Q6 (a, b, c) · 8 marks, Q7 (a, b) · 8 marks, Q9 (c) · 2 marks — question paper and mark scheme
• P4 · January 2025 · Q5 (ii) · 6 marks — question paper and mark scheme
• F2 · January 2025 · Q2 (b, c) · 4 marks · needs (a) — question paper and mark scheme
• P1 · October 2024 · Q2 (i, ii) · 7 marks, Q4 (b, c) · 7 marks, Q6 (a, b) · 9 marks, Q7 (b, c) · 5 marks, Q9 (a, b, d) · 6 marks — question paper and mark scheme
• P2 · October 2024 · Q3 (a, b, c) · 7 marks — question paper and mark scheme
• P3 · October 2024 · Q3 (a, b) · 7 marks, Q6 (a, b, c) · 8 marks, Q7 (c, d) · 4 marks · needs (b), Q9 (c) · 3 marks — question paper and mark scheme
• P4 · October 2024 · Q7 (a) · 2 marks, Q9 (a) · 2 marks — question paper and mark scheme
• P1 · June 2024 · Q2 (i(a), i(b), ii) · 6 marks, Q3 (a, b) · 6 marks, Q4 (a) · 3 marks, Q6 (a, b) · 7 marks, Q7 (b, c) · 5 marks, Q8 (a, b) · 4 marks — question paper and mark scheme
• P2 · June 2024 · Q4 (a, b, c) · 8 marks — question paper and mark scheme
• P3 · June 2024 · Q1 (a, b, c) · 6 marks, Q2 (a) · 3 marks, Q5 (a, c, d) · 7 marks — question paper and mark scheme
• P4 · June 2024 · Q5 (c) · 6 marks — question paper and mark scheme
• F2 · June 2024 · Q5 · 6 marks — question paper and mark scheme
• P1 · January 2024 · Q1 · 5 marks, Q3 (a) · 4 marks, Q4 (a, b) · 6 marks, Q5 (c) · 3 marks, Q6 (b) · 4 marks, Q7 (a, b) · 9 marks, Q9 (c) · 5 marks — question paper and mark scheme
• P2 · January 2024 · Q1 · 3 marks, Q6 (b(i)) · 3 marks — question paper and mark scheme
• P3 · January 2024 · Q1 (a, b, c) · 4 marks, Q4 (a, c, d) · 10 marks, Q8 (a, b, c) · 11 marks — question paper and mark scheme
• P4 · January 2024 · Q2 (a) · 4 marks — question paper and mark scheme
• F2 · January 2024 · Q1 · 5 marks — question paper and mark scheme
• P1 · October 2023 · Q2 (a, b, c) · 4 marks, Q3 (a, b) · 6 marks, Q4 (a, b, c, d) · 7 marks, Q6 (b) · 3 marks, Q8 (a, b) · 7 marks, Q10 (a) · 2 marks, Q11 (d) · 3 marks — question paper and mark scheme
• P2 · October 2023 · Q4 (a, b, c) · 9 marks — question paper and mark scheme
• P3 · October 2023 · Q2 (a, b, c) · 8 marks, Q7 (a) · 2 marks, Q9 (c) · 5 marks — question paper and mark scheme
• P4 · October 2023 · Q7 (c) · 3 marks — question paper and mark scheme
• P1 · June 2023 · Q1 · 4 marks, Q2 (c) · 4 marks · needs (a, b), Q4 (a) · 4 marks, Q6 (a, b, c) · 7 marks, Q7 (b) · 2 marks, Q9 (i(b), ii(b)) · 5 marks, Q10 (a(ii)) · 3 marks — question paper and mark scheme
• P2 · June 2023 · Q2 (a, b) · 6 marks — question paper and mark scheme
• P3 · June 2023 · Q4 (a, b, c) · 6 marks, Q6 (a, b, c, d) · 9 marks, Q8 (c) · 2 marks · needs (b) — question paper and mark scheme
• P4 · June 2023 · Q3 (a) · 3 marks — question paper and mark scheme
• F2 · June 2023 · Q3 (a, b) · 7 marks — question paper and mark scheme
• P1 · January 2023 · Q4 · 4 marks, Q5 (a, b) · 6 marks, Q7 (a, b, c, d) · 10 marks, Q8 (d) · 2 marks, Q9 (b(i), b(ii), b(iii)) · 3 marks, Q10 (a, b, c) · 10 marks — question paper and mark scheme
• P2 · January 2023 · Q5 (a, b, d) · 6 marks · needs (c) — question paper and mark scheme
• P3 · January 2023 · Q1 (a, b, c) · 6 marks, Q4 (a) · 4 marks, Q6 (a, b) · 8 marks — question paper and mark scheme
• P4 · January 2023 · Q1 (a) · 3 marks — question paper and mark scheme
• F2 · January 2023 · Q5 · 6 marks — question paper and mark scheme
• P1 · October 2022 · Q2 (a, b) · 7 marks, Q3 (a) · 3 marks, Q4 (a, b) · 6 marks, Q6 (a, b) · 6 marks, Q7 (a, b, c) · 8 marks, Q9 (d) · 3 marks — question paper and mark scheme
• P2 · October 2022 · Q2 (a) · 2 marks, Q7 (c) · 3 marks — question paper and mark scheme
• P3 · October 2022 · Q1 (a) · 4 marks, Q2 (a, b, c) · 7 marks, Q7 (a, b, d) · 9 marks · needs (c), Q8 (c, d) · 2 marks — question paper and mark scheme
• P4 · October 2022 · Q2 (a) · 3 marks — question paper and mark scheme
• P1 · June 2022 · Q3 (i, ii) · 5 marks, Q4 (i, ii) · 6 marks, Q5 (c) · 2 marks, Q6 (a, b) · 7 marks, Q9 (b) · 2 marks — question paper and mark scheme
• P2 · June 2022 · Q7 · 7 marks — question paper and mark scheme
• P3 · June 2022 · Q2 (a, b, c) · 9 marks, Q5 (a, b, c) · 8 marks, Q6 (d) · 3 marks · needs (b, c) — question paper and mark scheme
• P4 · June 2022 · Q2 (a) · 3 marks — question paper and mark scheme
• F2 · June 2022 · Q2 (a, b) · 8 marks — question paper and mark scheme
• P1 · January 2022 · Q3 (i, ii) · 7 marks, Q4 (a, b) · 7 marks, Q6 (b) · 7 marks, Q7 (a, b, c, d) · 11 marks, Q8 (c) · 3 marks, Q10 (a, b) · 9 marks — question paper and mark scheme
• P2 · January 2022 · Q5 (a, b, c) · 8 marks — question paper and mark scheme
• P3 · January 2022 · Q6 (b, c) · 8 marks, Q7 (a, b, c) · 10 marks — question paper and mark scheme
• P4 · January 2022 · Q3 (b) · 3 marks — question paper and mark scheme
• F2 · January 2022 · Q3 (b) · 6 marks · needs (a) — question paper and mark scheme
• P1 · October 2021 · Q3 (i, ii) · 6 marks, Q6 (a, b) · 6 marks, Q8 (b) · 5 marks, Q9 (a, b, c) · 9 marks — question paper and mark scheme
• P2 · October 2021 · Q4 (a, b, c) · 8 marks — question paper and mark scheme
• P3 · October 2021 · Q1 (a, b) · 6 marks, Q2 (a, b, c, d) · 10 marks — question paper and mark scheme
• P4 · October 2021 · Q3 (a) · 5 marks — question paper and mark scheme
• F2 · October 2021 · Q2 · 8 marks — question paper and mark scheme
• P1 · June 2021 · Q2 (a, b) · 10 marks, Q3 (b) · 5 marks, Q4 · 6 marks, Q5 (c) · 4 marks, Q8 (c) · 5 marks, Q9 (b) · 4 marks — question paper and mark scheme
• P2 · June 2021 · Q7 (b, c) · 6 marks — question paper and mark scheme
• P3 · June 2021 · Q3 (ii) · 6 marks, Q4 (a, b, c) · 10 marks, Q6 (a, b) · 8 marks, Q9 (c) · 2 marks — question paper and mark scheme
• P4 · June 2021 · Q4 · 8 marks — question paper and mark scheme
• F2 · June 2021 · Q5 · 7 marks — question paper and mark scheme
• P1 · January 2021 · Q2 (a, b) · 6 marks, Q3 (b) · 2 marks, Q4 (c) · 2 marks, Q6 (a, b, c) · 10 marks, Q8 (a, b, c) · 9 marks — question paper and mark scheme
• P2 · January 2021 · Q1 (a, b) · 6 marks — question paper and mark scheme
• P3 · January 2021 · Q2 (i, ii) · 6 marks, Q3 (a, b, c) · 8 marks, Q4 (a, b, c) · 9 marks — question paper and mark scheme
• P4 · January 2021 · Q10 (a) · 3 marks — question paper and mark scheme
• F2 · January 2021 · Q3 · 7 marks — question paper and mark scheme
• P1 · October 2020 · Q1 · 3 marks, Q4 · 7 marks, Q5 (i) · 6 marks, Q7 (a, b, c) · 11 marks, Q8 (a) · 4 marks, Q9 · 6 marks — question paper and mark scheme
• P2 · October 2020 · Q3 (a, b) · 5 marks, Q6 (a) · 4 marks — question paper and mark scheme
• P3 · October 2020 · Q3 (b) · 3 marks, Q4 (a, b, c, d) · 8 marks, Q9 (a) · 4 marks — question paper and mark scheme
• P4 · October 2020 · Q7 (ii) · 6 marks — question paper and mark scheme
• F2 · October 2020 · Q3 · 9 marks — question paper and mark scheme
• P1 · October 2019 · Q3 (b, c) · 7 marks, Q6 (a, b) · 8 marks, Q8 · 5 marks, Q10 (a, b, c, d) · 10 marks — question paper and mark scheme
• P2 · October 2019 · Q4 (a, b, c) · 8 marks — question paper and mark scheme
• WMA01 · October 2018 · Q1 (i, ii) · 5 marks, Q2 · 7 marks, Q8 (a, b, c) · 9 marks, Q10 (a, b) · 5 marks, Q11 (b) · 4 marks — question paper and mark scheme
• WMA02 · October 2018 · Q5 (a) · 4 marks, Q10 (a, c, d, e) · 10 marks · needs (b) — question paper and mark scheme
• F2 · June 2018 · Q1 · 5 marks — question paper and mark scheme
• WMA01 · June 2018 · Q2 (a, b) · 6 marks, Q4 (a, b) · 5 marks, Q8 (b) · 4 marks, Q13 (d) · 6 marks, Q14 (b, c, d, e) · 8 marks — question paper and mark scheme
• WMA02 · June 2018 · Q5 (i(a), i(b), ii(a), ii(b)) · 12 marks, Q13 (a) · 2 marks, Q14 (b, c) · 6 marks — question paper and mark scheme
• WMA01 · January 2018 · Q3 (a, b) · 4 marks, Q4 (b) · 4 marks, Q6 (a, b) · 9 marks, Q8 (a, b) · 6 marks, Q10 (ii) · 5 marks, Q14 (a) · 5 marks, Q15 (b) · 5 marks — question paper and mark scheme
• WMA02 · January 2018 · Q4 (a, b) · 6 marks, Q5 (a) · 3 marks, Q10 (b, c, d) · 10 marks — question paper and mark scheme
• WMA01 · October 2017 · Q2 (a, b, c, d) · 4 marks, Q3 (a) · 3 marks, Q7 (a, b) · 6 marks, Q8 (b) · 4 marks, Q13 (c) · 4 marks, Q15 (a, b) · 5 marks — question paper and mark scheme
• WMA02 · October 2017 · Q8 · 8 marks, Q9 (a, b, c, d) · 13 marks — question paper and mark scheme
• F2 · June 2017 · Q2 · 9 marks — question paper and mark scheme
• WMA01 · June 2017 · Q2 (a, b, c) · 4 marks, Q5 (a, b, c, d) · 10 marks, Q7 (a, b, c, d) · 7 marks, Q8 (c) · 3 marks, Q12 (b) · 1 mark — question paper and mark scheme
• WMA02 · June 2017 · Q3 (a, b, c) · 8 marks, Q5 (a) · 4 marks, Q10 (b, c) · 6 marks — question paper and mark scheme
• WMA01 · January 2017 · Q1 (b) · 4 marks, Q8 (a, b, c) · 8 marks, Q9 (b) · 3 marks, Q13 (a, b) · 7 marks — question paper and mark scheme
• WMA02 · January 2017 · Q3 (a) · 3 marks, Q4 (a, b, c, d) · 10 marks, Q7 (a, b) · 7 marks — question paper and mark scheme
• WMA01 · October 2016 · Q3 (i, ii) · 5 marks, Q4 (a, b) · 8 marks, Q9 (c) · 3 marks, Q11 (b) · 4 marks, Q12 (a, c) · 5 marks, Q13 (c) · 5 marks — question paper and mark scheme
• WMA01 · January 2016 · Q2 (i, ii) · 5 marks, Q6 (a, b) · 4 marks, Q12 (a) · 4 marks, Q13 (b) · 4 marks, Q16 (a) · 5 marks — question paper and mark scheme
• WMA02 · January 2016 · Q9 (a) · 4 marks, Q11 (a, b, c, d, e) · 14 marks — question paper and mark scheme

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