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Past papers · Mathematics

WMA12
Pure Mathematics 2

18 papers indexed since 2019, question by question. Next sitting: Wed, 13 Jan 2027. Pick a topic to see every question that tested it.

All topics

416 question parts · 1314 marks

SittingQuestionMarksAsks you to
June 2025Q1(a)· short4find, simplify
June 2025Q1(b)· short2use, find
June 2025Q2(a)· long5find
June 2025Q2(b)· short2hence, find
June 2025Q3· long5use, find
June 2025Q4(a)· short2show that
June 2025Q4(b)· short4find
June 2025Q4(c)· short3use, find
June 2025Q5(a)· short3estimate, give your answer to ...
June 2025Q5(b)· short3use, estimate
June 2025Q6(i)· long5solve
June 2025Q6(ii)· long5find
June 2025Q7(i)(a)· short2find
June 2025Q7(i)(b)· short3use, find
June 2025Q7(ii)· short4find
June 2025Q8(i)· short3solve
June 2025Q8(ii)· long5solve, give your answer to ...
June 2025Q9(a)· short4show that
June 2025Q9(b)· long5use, find, give your answer to ...
June 2025Q9(c)· short2justify
June 2025Q10· short4use, prove
January 2025Q1(a)· short2find
January 2025Q1(b)· short2find
January 2025Q2(a)· short4find, simplify
January 2025Q2(b)· short1state
January 2025Q3(a)· short4show that
January 2025Q3(b)· short4use, find, give your answer to ...
January 2025Q3(c)· short2find, hence, show that
January 2025Q4(a)· short4find
January 2025Q4(b)· short2find
January 2025Q5(a)· short2show that
January 2025Q5(b)· short4find
January 2025Q5(c)· short3hence, use, factorise
January 2025Q6(a)· short4find
January 2025Q6(c)· short3find
January 2025Q7(i)· short3use, show that
January 2025Q7(ii)· long5find
January 2025Q8(i)· short1show that
January 2025Q8(ii)· short4prove
January 2025Q9(a)· long5use, find
January 2025Q9(c)· long5use, find, give your answer to ...
January 2025Q10(a)· short4show that
January 2025Q10(b)· short4hence, solve, give your answer to ...
October 2024Q1(a)· short3find, give your answer to ...
October 2024Q1(b)· short2use, estimate
October 2024Q2(a)· short3show that
October 2024Q2(b)· short2find
October 2024Q2(c)· short2hence, find
October 2024Q3(a)· short2show that
October 2024Q3(b)· short3find
October 2024Q3(c)· short2hence, find
October 2024Q4(b)· short2hence, find
October 2024Q4(c)· short2find, hence, determine, give a reason
October 2024Q4(d)· short1state
October 2024Q5(a)· short3find, simplify
October 2024Q5(b)· short4find
October 2024Q6· long5use, solve
October 2024Q7(a)· short1show that
October 2024Q7(b)· short2find
October 2024Q7(c)· short3use, calculate, give your answer to ...
October 2024Q8(b)· short4use, find
October 2024Q9(a)· short3show that
October 2024Q9(b)· short4hence, solve, give your answer to ...
October 2024Q10(a)· short3find, find the exact value
October 2024Q10(b)· short3show that
October 2024Q10(c)· short4hence, find
October 2024Q11(i)· short2prove
October 2024Q11(ii)· short4use, prove
June 2024Q1(a)· short3find, simplify
June 2024Q1(b)· short2hence, find, simplify
June 2024Q2(a)· short4find
June 2024Q2(b)· short3hence, find
June 2024Q3(i)· long5use, solve
June 2024Q3(ii)· short1find
June 2024Q4(a)· short1state
June 2024Q4(b)· short2show that
June 2024Q4(c)· long5hence, factorise, find, give a reason
June 2024Q5(a)· short4prove
June 2024Q5(b)· short2use, show that
June 2024Q6(a)· short3sketch
June 2024Q6(b)· short3estimate, give your answer to ...
June 2024Q6(c)· short3use, estimate
June 2024Q7(a)· short3find, find the exact value
June 2024Q7(b)· short3prove
June 2024Q8(i)· long5solve, give your answer to ...
June 2024Q8(ii)(a)· short4use, find, give your answer to ...
June 2024Q8(ii)(c)· short2find, give your answer to ...
June 2024Q9(a)· short4find
June 2024Q9(b)· short4find the exact value
June 2024Q10(a)· short2find, give your answer to ...
June 2024Q10(b)· short3find, give your answer to ...
June 2024Q10(c)· short3find, give your answer to ...
January 2024Q1· short3find
January 2024Q2· short3find, simplify
January 2024Q3(a)· short3find
January 2024Q3(b)· short3find
January 2024Q4(a)· short3sketch
January 2024Q4(b)· short3find, give your answer to ...
January 2024Q4(c)· short3use, find
January 2024Q5(i)· short3find
January 2024Q5(ii)(a)· short2show that
January 2024Q5(ii)(b)· short1state
January 2024Q5(ii)(c)· short2hence, find
January 2024Q6(a)· short4show that
January 2024Q6(b)(i)· short3use, find
January 2024Q6(b)(ii)· short1hence, solve
January 2024Q7(a)· short3find, give your answer to ...
January 2024Q7(b)· short3find, give your answer to ...
January 2024Q7(c)· short3calculate, give your answer to ...
January 2024Q8(i)· short2use, show that
January 2024Q8(ii)· short4use, prove
January 2024Q9(i)· long6solve, give your answer to ...
January 2024Q9(ii)(b)· short3find
January 2024Q9(ii)(c)· short4find, give your answer to ...
January 2024Q10(a)· short4use, show that
January 2024Q10(b)· long5use, find
October 2023Q1· short3prove
October 2023Q2(a)· short3find
October 2023Q2(b)· short2find
October 2023Q3(a)· long5solve, give your answer to ...
October 2023Q3(b)· short2hence or otherwise, find, give your answer to ...
October 2023Q4(a)· short2show that
October 2023Q4(b)· short2find, simplify
October 2023Q4(c)· long5hence, use, find, factorise
October 2023Q5(i)· short2solve, give your answer to ...
October 2023Q5(ii)· short4find the exact value
October 2023Q6(a)· short3use, estimate
October 2023Q6(b)· short2use, estimate, give your answer to ...
October 2023Q6(c)· short1state, give a reason
October 2023Q7(a)· short3show that
October 2023Q7(b)· long5hence, find
October 2023Q8(a)· short2find
October 2023Q8(b)· short2show that
October 2023Q8(c)· short3hence, state, find
October 2023Q9(a)· short4find, use
October 2023Q9(b)· long8find, use
October 2023Q10(i)(a)· short3find
October 2023Q10(i)(b)· short3find
October 2023Q10(ii)(a)· short3show that
October 2023Q10(ii)(b)· short3hence, find the exact value
June 2023Q1· short3use, find, give your answer to ...
June 2023Q2(a)· short2use, show that
June 2023Q2(b)· short4hence, show that
June 2023Q3(a)· short3find
June 2023Q3(b)· short4find, give your answer in the form
June 2023Q4(a)· short1find
June 2023Q4(b)· long6find
June 2023Q5· long5use, solve
June 2023Q6(a)· short2show that
June 2023Q6(b)· short4find
June 2023Q6(c)· short3calculate
June 2023Q7(a)· long5use, show that
June 2023Q7(c)· short2use, prove
June 2023Q8(i)· short2prove
June 2023Q8(ii)· short3prove
June 2023Q9(a)· short3show that
June 2023Q9(b)· short4hence, solve, give your answer to ...
June 2023Q10(a)· long5show that
June 2023Q10(c)· short3use, find
June 2023Q11(a)· short2find
June 2023Q11(b)· short3show that
June 2023Q11(c)· short3hence, find
January 2023Q1(a)· short3use, estimate, give your answer to ...
January 2023Q1(b)· short3use, estimate
January 2023Q2(a)· short3show that
January 2023Q2(c)· short2hence, find
January 2023Q2(d)· short2find, hence, show that
January 2023Q2(e)· short1hence, find
January 2023Q3(a)· short4find, simplify
January 2023Q3(b)· short3find, use
January 2023Q4(i)· short3use, solve
January 2023Q4(ii)· short3find, simplify
January 2023Q5(a)· short2show that
January 2023Q5(b)· short2show that
January 2023Q5(c)· short3hence, find
January 2023Q5(d)· short2hence, find
January 2023Q6(a)· short3find
January 2023Q6(b)· short4find
January 2023Q6(c)· short3find, give your answer in the form
January 2023Q7(a)· short1show that
January 2023Q7(b)· short2hence, find
January 2023Q7(c)· short4find
January 2023Q8(i)· short4solve, give your answer to ...
January 2023Q8(ii)· long5solve, give your answer to ...
January 2023Q9(c)· long5use, find the exact value
January 2023Q10· short4complete
October 2022Q1· short3prove
October 2022Q2(a)· short2show that
October 2022Q2(b)· short3find, simplify
October 2022Q2(c)· short2use, find
October 2022Q3(a)· short3find the exact value
October 2022Q3(b)· short4hence, find the exact value
October 2022Q4(a)· short3show that
October 2022Q4(b)· short3find
October 2022Q4(c)· short2find, give your answer to ...
October 2022Q5(a)· short3show that
October 2022Q5(b)· long5hence, solve
October 2022Q6(a)· short3use, find, give your answer to ...
October 2022Q6(b)· short4use, calculate, estimate
October 2022Q7(b)· short3use, show that
October 2022Q7(c)· short3find, use
October 2022Q8(a)· short2show that
October 2022Q8(b)· long5find, give your answer to ...
October 2022Q9(a)· short3use, find
October 2022Q9(b)· short3find
October 2022Q9(c)· short3show that
October 2022Q9(d)· short3find
October 2022Q10(i)· short3express, simplify
October 2022Q10(ii)· short4solve, simplify
June 2022Q1· short4find
June 2022Q2(a)· short2complete, give your answer to ...
June 2022Q2(b)· short3use, find, give your answer to ...
June 2022Q2(c)· short3use, find
June 2022Q3(i)· short2show that
June 2022Q3(ii)· long5prove
June 2022Q4· long6solve, simplify
June 2022Q5· long6solve
June 2022Q6(a)· short3show that
June 2022Q6(b)· short3find
June 2022Q6(c)· short2find
June 2022Q7· long7find
June 2022Q8(b)· long5hence, find
June 2022Q9(a)· short2sketch
June 2022Q9(b)· short2show that
June 2022Q9(c)· short2calculate, give your answer to ...
June 2022Q9(d)· short3use, calculate, give your answer to ...
June 2022Q10(a)· short3show that
June 2022Q10(b)· short3show that, find
June 2022Q10(c)· long6find
January 2022Q1(a)· short3use, estimate, give your answer to ...
January 2022Q1(b)· short4use, estimate
January 2022Q2(b)· short4hence, find
January 2022Q2(c)· short2find, hence, determine
January 2022Q3(a)· short4find, simplify
January 2022Q3(b)· short3find
January 2022Q4· long5use, solve
January 2022Q5(a)· short3show that
January 2022Q5(b)· short3find
January 2022Q5(c)· short2hence, find
January 2022Q6(a)· short2show that
January 2022Q6(b)· short3hence or otherwise, find
January 2022Q6(c)· short3find, give your answer in the form
January 2022Q7(i)· short4solve, give your answer to ...
January 2022Q7(ii)· short4solve, give your answer to ...
January 2022Q8(a)· short1show that
January 2022Q8(b)· short2find
January 2022Q8(c)· short2find, give your answer to ...
January 2022Q8(d)· short4find
January 2022Q9(b)· long5show that
January 2022Q9(c)· short3find the exact value
January 2022Q10(i)· short1prove
January 2022Q10(ii)· short4use, prove
October 2021Q1(a)· short3find, simplify
October 2021Q1(b)· short3use, find
October 2021Q2(a)· short2find
October 2021Q2(b)· short3find
October 2021Q3(a)· short3use, show that
October 2021Q3(b)· short1explain
October 2021Q3(c)· short4use, estimate
October 2021Q4(a)· short1state
October 2021Q4(b)· short2use, show that
October 2021Q4(c)· long5hence, factorise, show that
October 2021Q5(a)· short2find
October 2021Q5(b)· short3show that
October 2021Q5(c)· short1hence, state
October 2021Q6(i)(a)· short2find
October 2021Q6(i)(b)· short2state
October 2021Q6(ii)· short4find the exact value
October 2021Q7(i)· short3find
October 2021Q7(ii)(a)· short3show that
October 2021Q7(ii)(c)· short1hence, state, give a reason
October 2021Q7(ii)(d)· short2hence, find
October 2021Q8(a)· short3show that
October 2021Q8(b)· short2determine
October 2021Q8(c)· long5find
October 2021Q9(a)· short3prove
October 2021Q9(b)· short1prove
October 2021Q10(i)· long5solve
October 2021Q10(ii)· long5solve, give your answer to ...
June 2021Q1(a)· short3state, give a reason, write down
June 2021Q1(b)· short4find
June 2021Q2(a)· short4sketch, label
June 2021Q2(b)· short4use, find
June 2021Q3(i)· short2prove
June 2021Q3(ii)· short3show that, use
June 2021Q4(a)· short4find, simplify
June 2021Q4(b)· short3use, find, give your answer to ...
June 2021Q4(c)· short1state, give a reason
June 2021Q5(a)· short4find, estimate, give your answer to ...
June 2021Q5(b)· short3find
June 2021Q5(c)· short3use, find, give your answer to ...
June 2021Q6(a)· short3find
June 2021Q6(b)· short4find
June 2021Q7(a)· short4show that
June 2021Q7(b)· short2show that
June 2021Q7(c)· short4hence, use, solve
June 2021Q8(i)· short4solve, give your answer to ...
June 2021Q8(ii)· long6show that, find, hence, solve
June 2021Q9(a)· short3show that
June 2021Q9(b)· long5use, show that, find
June 2021Q9(c)· short2justify
January 2021Q1(a)· short2show that
January 2021Q1(b)· short4find
January 2021Q2(a)· short4use, find
January 2021Q2(b)· short3justify, use
January 2021Q3(i)· short3solve, give your answer in the form
January 2021Q3(ii)· long5use, solve
January 2021Q4(a)· short4find, simplify
January 2021Q4(b)· short4find
January 2021Q5(i)· short3use, prove
January 2021Q5(ii)· short1show that
January 2021Q6(a)· short4show that
January 2021Q6(b)· short4hence, solve, give your answer to ...
January 2021Q7(a)· short2use, complete, give your answer to ...
January 2021Q7(b)· short4use, find, give your answer to ...
January 2021Q8(a)· short1find, simplify
January 2021Q8(b)· long6find
January 2021Q9(a)· short2write down
January 2021Q9(b)· short3show that, hence, find
January 2021Q9(c)· long5calculate
January 2021Q10(a)· short3calculate
January 2021Q10(b)· short3calculate, give your answer to ...
January 2021Q10(c)· long5find
October 2020Q1(a)· short4find, simplify
October 2020Q1(b)· short3hence, find
October 2020Q2(a)· short1complete, give your answer to ...
October 2020Q2(b)· short3use, find
October 2020Q3(a)· short2use, show that
October 2020Q3(b)· short3find
October 2020Q3(d)· short4hence, find
October 2020Q4(a)· short4find
October 2020Q4(b)· short2hence, find
October 2020Q4(c)· short3find, give your answer in the form
October 2020Q5(a)· short2find
October 2020Q5(b)· short3find
October 2020Q5(c)· short3formulate, show that
October 2020Q5(e)· short1state, give a reason
October 2020Q6(a)· short4use, find
October 2020Q6(b)· long5use, find
October 2020Q7(i)· short3show that
October 2020Q7(ii)· short4solve, give your answer to ...
October 2020Q8(a)· short3prove
October 2020Q8(b)· short2find
October 2020Q8(c)· short3hence, find, give your answer to ...
October 2020Q9(i)· short4find the exact value
October 2020Q9(ii)(a)· short4show that
October 2020Q9(ii)(b)· short2hence, find, give your answer to ...
January 2020Q1(a)· short3use, estimate, give your answer to ...
January 2020Q1(b)· short4use, estimate
January 2020Q2(a)· short4find
January 2020Q2(b)· short3hence, find
January 2020Q3(a)· short2use, show that
January 2020Q3(b)· short4hence, use, factorise
January 2020Q3(c)· short2solve, give your answer to ...
January 2020Q4· long6find
January 2020Q5(a)· short3find, give your answer to ...
January 2020Q5(b)· long5find
January 2020Q6(a)· short3find
January 2020Q6(b)· short2find
January 2020Q6(c)· short3find
January 2020Q7(a)· short3show that
January 2020Q7(b)· short4hence, solve, give your answer to ...
January 2020Q8(i)· short3prove
January 2020Q8(ii)(a)· short1find
January 2020Q8(ii)(b)· short3find
January 2020Q9(a)· short2sketch
January 2020Q9(b)· long5show that
January 2020Q10(a)· short4show that
January 2020Q10(b)· short2determine, justify
January 2020Q10(c)· short4use, find
October 2019Q1(a)· short4find, use
October 2019Q1(b)· short2hence, find
October 2019Q2(a)· short3find
October 2019Q2(b)· short3find, give your answer to ...
October 2019Q3(a)· short3find, simplify
October 2019Q3(b)· short3find
October 2019Q4(a)· short1state
October 2019Q4(b)· short2show that
October 2019Q4(c)· long5use, factorise
October 2019Q5(a)· short2sketch
October 2019Q5(b)· short3use, estimate
October 2019Q5(c)· short2use, estimate
October 2019Q6(a)· short2find
October 2019Q6(b)· long5find
October 2019Q7(i)· short2find, simplify
October 2019Q7(ii)· short2find, simplify
October 2019Q7(iii)· short3find, simplify
October 2019Q8(i)· long5find
October 2019Q8(ii)· short4find
October 2019Q9(i)· short4solve, give your answer to ...
October 2019Q9(ii)(a)· short3show that
October 2019Q9(ii)(b)· long5find, give your answer to ...
October 2019Q10(b)· short3prove
June 2019Q1(a)· short2find
June 2019Q1(b)· short2find
June 2019Q2(a)· short3find, find the exact value
June 2019Q2(b)· short4find, write in the form
June 2019Q3(i)· short3use, prove
June 2019Q3(ii)· short1show that
June 2019Q4(a)· short4find
June 2019Q4(b)· short3show that, find
June 2019Q5(a)· long6find, use
June 2019Q5(b)· short2justify, use
June 2019Q6(a)· short2show that
June 2019Q6(b)· short4use, factorise
June 2019Q6(c)· short2solve, give your answer to ...
June 2019Q7(a)· short3determine
June 2019Q7(b)· short3determine, give your answer to ...
June 2019Q7(c)· short3calculate, give your answer to ...
June 2019Q8(i)· short4find, give your answer in the form
June 2019Q8(ii)· long5use, solve
June 2019Q9(a)· short4show that
June 2019Q9(b)· short4hence, solve, give your answer to ...
June 2019Q10(a)· short4use, find
June 2019Q10(b)· short4use, show that
June 2019Q10(c)· short3state, find

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