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Past papers · Mathematics

WMA11
Pure Mathematics 1

19 papers indexed since 2019, question by question. Next sitting: Fri, 8 Jan 2027. Pick a topic to see every question that tested it.

All topics

462 question parts · 1425 marks

SittingQuestionMarksAsks you to
June 2025Q1(a)· short1express, simplify
June 2025Q1(b)· short2express, simplify
June 2025Q1(c)· short2express, simplify
June 2025Q2(a)· short2find, simplify
June 2025Q2(b)· short3find
June 2025Q3· long5find, simplify
June 2025Q4(a)· short1state
June 2025Q4(b)· short2state
June 2025Q4(c)· short3state
June 2025Q5(a)· short2find
June 2025Q5(b)· short3use, find
June 2025Q5(c)· short2hence, find, simplify
June 2025Q6(a)· short3show that
June 2025Q6(b)· short3find, give your answer to ...
June 2025Q6(c)· short3find, give your answer to ...
June 2025Q7(a)· short3find
June 2025Q7(b)· short2sketch
June 2025Q7(c)· long5use, find
June 2025Q8(a)· short4show that, find
June 2025Q8(b)· short3hence, find
June 2025Q8(c)· short4find
June 2025Q9(a)· short4describe
June 2025Q9(b)· long6show that, hence, find
June 2025Q10(a)· short3find
June 2025Q10(b)· short4find
January 2025Q1· short4find, simplify
January 2025Q2(a)· short2show that
January 2025Q2(b)· short3find
January 2025Q3(a)· short3find
January 2025Q3(b)· short2find, give your answer to ...
January 2025Q4(i)(a)· short1express, simplify
January 2025Q4(i)(b)· short3express, simplify
January 2025Q4(ii)(a)· short2use, show that
January 2025Q4(ii)(b)· short3hence, solve
January 2025Q5(a)· short2find, simplify
January 2025Q5(b)· short2show that
January 2025Q5(c)· short4hence, find
January 2025Q6(a)· short2show that
January 2025Q6(b)· long7find, simplify
January 2025Q6(c)· short1state
January 2025Q7(a)· short3sketch, state
January 2025Q7(b)· long5find
January 2025Q8(a)· short3find, give your answer to ...
January 2025Q8(b)· short2find, give your answer to ...
January 2025Q8(c)· short3show that
January 2025Q8(d)· long5hence, find, give your answer to ...
January 2025Q9(a)· short3express
January 2025Q9(b)· short2state
January 2025Q9(c)· short3state
January 2025Q9(d)· long5use
October 2024Q1(a)· short3find
October 2024Q1(b)· short3find
October 2024Q2(i)· short3simplify
October 2024Q2(ii)· short4find the exact value
October 2024Q3(a)· short4find
October 2024Q3(b)· long5show that, hence, state
October 2024Q4(a)· short3find
October 2024Q4(b)· short3find
October 2024Q4(c)· short4use, find
October 2024Q5(a)· short2find
October 2024Q5(b)· short3show that
October 2024Q5(c)· short4find, give your answer to ...
October 2024Q6(a)· short3sketch, state
October 2024Q6(b)· long6show that, find
October 2024Q7(a)· short3state
October 2024Q7(b)· short3state
October 2024Q7(c)· short2state, give a reason
October 2024Q8(a)· short3show that
October 2024Q8(b)· short4hence, find
October 2024Q9(a)· short1deduce
October 2024Q9(b)· short3find, simplify
October 2024Q9(c)· short4find
October 2024Q9(d)· short2find
June 2024Q1· short3find, simplify
June 2024Q2(i)(a)· short1express, simplify
June 2024Q2(i)(b)· short2express, simplify
June 2024Q2(ii)· short3solve
June 2024Q3(a)· short3sketch
June 2024Q3(b)· short3sketch
June 2024Q4(a)· short3show that
June 2024Q4(b)· short3hence, find
June 2024Q5(a)· short2find
June 2024Q5(b)· short2find, give your answer to ...
June 2024Q5(c)· short3find, give your answer to ...
June 2024Q6(a)· short4find
June 2024Q6(b)· short3use
June 2024Q7(a)· short3find, simplify
June 2024Q7(b)· short2find
June 2024Q7(c)· short3hence, find
June 2024Q8(a)· short3sketch
June 2024Q8(b)· short1show that
June 2024Q8(c)· short3hence, find
June 2024Q9(a)· short3find
June 2024Q9(b)· short4find
June 2024Q9(c)· short2hence, find
June 2024Q10(a)· short4find
June 2024Q10(b)· long6find, simplify
June 2024Q11(a)· short2find
June 2024Q11(b)· short2find
June 2024Q11(c)· short2find
January 2024Q1· long5find, simplify
January 2024Q2(a)· short2find
January 2024Q2(b)· short3find, give your answer to ...
January 2024Q3(a)· short4find, simplify
January 2024Q3(b)· short3find
January 2024Q4(a)· short3show that
January 2024Q4(b)· short3hence, solve
January 2024Q5(a)· short3find
January 2024Q5(b)· short4find
January 2024Q5(c)· short3find the exact value
January 2024Q6(a)· short2state
January 2024Q6(b)· short4find
January 2024Q7(a)· short4sketch
January 2024Q7(b)· long5find
January 2024Q8(a)· short3show that
January 2024Q8(b)· short3find, give your answer to ...
January 2024Q8(c)· short3find, give your answer to ...
January 2024Q9(a)· short2sketch
January 2024Q9(b)· short3find
January 2024Q9(c)· long5find
January 2024Q10(a)· short4find the exact value
January 2024Q10(b)· short4find, simplify
October 2023Q1(a)· short3find, simplify
October 2023Q1(b)· short2find, simplify
October 2023Q2(a)· short1express, simplify
October 2023Q2(b)· short1express, simplify
October 2023Q2(c)· short2express, simplify
October 2023Q3(a)· short3write in the form
October 2023Q3(b)· short3hence or otherwise, solve, simplify
October 2023Q4(a)· short1state
October 2023Q4(b)· short2factorise
October 2023Q4(c)· short3sketch, state
October 2023Q4(d)· short1hence, state, give a reason
October 2023Q5(a)· short2show that
October 2023Q5(b)· long5find, give your answer to ...
October 2023Q6(a)· short3show that
October 2023Q6(b)· short3hence, find
October 2023Q7(a)· short4find, hence
October 2023Q7(b)· long6find
October 2023Q8(a)· short2show that
October 2023Q8(b)· long5find
October 2023Q9(a)· short1show that
October 2023Q9(b)· short3show that
October 2023Q9(c)· short3hence, calculate, give your answer to ...
October 2023Q10(a)· short2state
October 2023Q10(b)· short2state
October 2023Q10(c)· short2find
October 2023Q11(a)· short3write in the form
October 2023Q11(b)· short1state
October 2023Q11(c)· short3find
October 2023Q11(d)· short3use
June 2023Q1· short4solve
June 2023Q2(a)· short1write down
June 2023Q2(b)· short1write down
June 2023Q2(c)· short4hence, find
June 2023Q3(a)· short3express
June 2023Q3(b)· short3hence, sketch
June 2023Q4(a)· short4write in the form
June 2023Q4(b)· short3hence, find, simplify
June 2023Q5(a)· short2show that
June 2023Q5(b)· short4find, give your answer to ...
June 2023Q5(c)· short4find, give your answer to ...
June 2023Q6(a)· short2simplify
June 2023Q6(b)· short2express
June 2023Q6(c)· short3use, show that
June 2023Q7(a)· short4find
June 2023Q7(b)· short2use
June 2023Q8(a)· long5find
June 2023Q8(b)· long5find, simplify
June 2023Q9(i)(a)· short2write down
June 2023Q9(i)(b)· short3sketch
June 2023Q9(ii)(a)· short2write down
June 2023Q9(ii)(b)· short2sketch
June 2023Q10(a)(i)· short1write down
June 2023Q10(a)(ii)· short3find
June 2023Q10(b)· short2find
June 2023Q10(c)· short2show that
June 2023Q10(d)· short2hence or otherwise, find
January 2023Q1(a)· short3find, simplify
January 2023Q1(b)· short2hence, find the exact value, simplify
January 2023Q2(a)· short3prove
January 2023Q2(b)· short2find
January 2023Q3· long5find, simplify
January 2023Q4· short4find
January 2023Q5(a)· short3show that
January 2023Q5(b)· short3hence, solve
January 2023Q6(a)· short2find, give your answer to ...
January 2023Q6(b)· short1find, give your answer to ...
January 2023Q6(c)· short3hence, find, give your answer to ...
January 2023Q6(d)· short4hence, find, give your answer to ...
January 2023Q7(a)· short2sketch
January 2023Q7(b)· short2describe
January 2023Q7(c)· short2find
January 2023Q7(d)· short4find
January 2023Q8(a)· short2find
January 2023Q8(b)· short1deduce
January 2023Q8(c)· short3find
January 2023Q8(d)· short2use
January 2023Q9(a)· short1state
January 2023Q9(b)(i)· short1write down
January 2023Q9(b)(ii)· short1write down
January 2023Q9(b)(iii)· short1write down
January 2023Q10(a)· short2use, state
January 2023Q10(b)· short3simplify
January 2023Q10(c)· long5find
January 2023Q11(a)· short2find
January 2023Q11(b)· long6find, simplify
October 2022Q1(a)· short3find, simplify
October 2022Q1(b)· short3find
October 2022Q2(a)· short2find
October 2022Q2(b)· long5hence, find, simplify
October 2022Q3(a)· short3find
October 2022Q3(b)· short2find, give your answer to ...
October 2022Q4(a)· short4solve
October 2022Q4(b)· short2hence, solve
October 2022Q5(a)· long5find, simplify
October 2022Q5(b)· short4find
October 2022Q6(a)· long5sketch
October 2022Q6(b)· short1state, give a reason
October 2022Q7(a)· short3use, find
October 2022Q7(b)· short1state
October 2022Q7(c)· short4sketch, state, hence, find
October 2022Q8(a)· long5calculate
October 2022Q8(b)· short2calculate
October 2022Q8(c)· short2show that
October 2022Q8(d)· long5find, give your answer to ...
October 2022Q9(a)· short3write in the form
October 2022Q9(b)· short2deduce
October 2022Q9(c)· long6find
October 2022Q9(d)· short3identify
June 2022Q1· short4find, simplify
June 2022Q2(a)· short2use, find, give your answer to ...
June 2022Q2(b)· short3find, give your answer to ...
June 2022Q3(i)· short2show that, find
June 2022Q3(ii)· short3simplify
June 2022Q4(i)· short3sketch
June 2022Q4(ii)· short3sketch
June 2022Q5(a)· short4find
June 2022Q5(b)· short3find
June 2022Q5(c)· short2use
June 2022Q6(a)· short2show that
June 2022Q6(b)· long5hence, solve
June 2022Q7(a)· short4find
June 2022Q7(b)· long5find, simplify
June 2022Q8(a)· short3show that
June 2022Q8(b)· short2find, give your answer to ...
June 2022Q8(c)· long5find, give your answer to ...
June 2022Q9(a)· short3state
June 2022Q9(b)· short2sketch
June 2022Q9(c)· short3hence, find
June 2022Q10(a)· short2find
June 2022Q10(b)· short4show that
June 2022Q10(c)· short2hence, find, justify
June 2022Q10(d)· short4find
January 2022Q1· short4find, simplify
January 2022Q2(a)· short3express
January 2022Q2(b)· short2sketch
January 2022Q2(c)· short1write down
January 2022Q3(i)· short3express
January 2022Q3(ii)· short4solve
January 2022Q4(a)· short4find
January 2022Q4(b)· short3use
January 2022Q5(a)· short1show that
January 2022Q5(b)· short3find, give your answer to ...
January 2022Q5(c)· short3find, give your answer to ...
January 2022Q6(a)· short4find, hence
January 2022Q6(b)· long7find, simplify
January 2022Q7(a)· short2find
January 2022Q7(b)· short2write down
January 2022Q7(c)· short4find
January 2022Q7(d)· short3hence, find
January 2022Q8(a)· short1find
January 2022Q8(b)· short3find
January 2022Q8(c)· short3find
January 2022Q8(d)· short2find
January 2022Q9(a)· short1write down
January 2022Q9(b)· short3find
January 2022Q10(a)· short4sketch, state
January 2022Q10(b)· long5find
October 2021Q1· long5find, simplify
October 2021Q2· long5find
October 2021Q3(i)· short3solve
October 2021Q3(ii)· short3use
October 2021Q4(a)· short3state
October 2021Q4(b)· short2find
October 2021Q5(a)· long5find
October 2021Q5(b)· short3find
October 2021Q6(a)· short3sketch
October 2021Q6(b)· short3write in the form
October 2021Q6(c)· short4hence, find
October 2021Q7(a)· short4show that
October 2021Q7(b)· short2find, give your answer to ...
October 2021Q7(c)· short4find, give your answer to ...
October 2021Q8(a)· long5write in the form, hence or otherwise, state
October 2021Q8(b)· long5find
October 2021Q9(a)· short3sketch, label
October 2021Q9(b)· short3show that
October 2021Q9(c)· short3hence, find, simplify
October 2021Q10(a)· short3find
October 2021Q10(b)· short4hence, find
June 2021Q1(a)· short4find, simplify
June 2021Q1(b)· short4find
June 2021Q2(a)· long5show that, solve
June 2021Q2(b)· long5hence, find
June 2021Q3(a)· short2show that
June 2021Q3(b)· long5use, find the exact value
June 2021Q3(c)· short2calculate
June 2021Q4· long6find, simplify
June 2021Q5(a)· short2use, find
June 2021Q5(b)· short1state
June 2021Q5(c)· short4find
June 2021Q5(d)· short1explain
June 2021Q6(a)· short3find
June 2021Q6(b)· long5find, simplify
June 2021Q7(a)· short1state
June 2021Q7(b)· short3show that
June 2021Q7(c)· short3find
June 2021Q7(d)· short3calculate
June 2021Q8(a)· short3write in the form
June 2021Q8(b)· short1deduce
June 2021Q8(c)· long5find
June 2021Q9(a)· short1state
June 2021Q9(b)· short4sketch, state, hence, give a reason
June 2021Q9(c)· short2state
January 2021Q1(a)· short3find, simplify
January 2021Q1(b)· long5find
January 2021Q2(a)· short4find, give your answer to ...
January 2021Q2(b)· short2find, give your answer to ...
January 2021Q3(a)· short3state
January 2021Q3(b)· short2state
January 2021Q4(a)· short3find
January 2021Q4(b)· short3find
January 2021Q4(c)· short2use
January 2021Q5(a)· short3find, give your answer to ...
January 2021Q5(b)· short2find, give your answer to ...
January 2021Q5(c)· short4find, give your answer to ...
January 2021Q6(a)· short2sketch
January 2021Q6(b)· short3sketch, state
January 2021Q6(c)· long5find
January 2021Q7(a)· short4solve
January 2021Q7(b)· long5solve
January 2021Q8(a)· short1deduce
January 2021Q8(b)· short3write in the form
January 2021Q8(c)· long5find
January 2021Q9(i)· long5find, simplify
January 2021Q9(ii)· long6find, simplify
October 2020Q1· short3find
October 2020Q2(a)· short3express
October 2020Q2(b)· short4find
October 2020Q3(a)· short2show that
October 2020Q3(b)· long8hence, find, give your answer to ...
October 2020Q4· long7use, solve
October 2020Q5(i)· long6sketch
October 2020Q5(ii)· short3find, find the exact value
October 2020Q6(a)· short2find
October 2020Q6(b)· short4find
October 2020Q6(c)· long5find
October 2020Q7(a)· short3sketch, state
October 2020Q7(b)· short4show that
October 2020Q7(c)· short4hence, find
October 2020Q8(a)· short4show that
October 2020Q8(b)· short4find
October 2020Q8(c)· short3find
October 2020Q9· long6find, simplify
January 2020Q1· short4find, simplify
January 2020Q2(a)· short1express, simplify
January 2020Q2(b)· short2express, simplify
January 2020Q2(c)· short2express, simplify
January 2020Q3(a)· short2find
January 2020Q3(b)· short3find, simplify
January 2020Q3(c)· short1explain
January 2020Q4(a)· short2show that
January 2020Q4(b)· short4find, give your answer to ...
January 2020Q4(c)· short3find, give your answer to ...
January 2020Q5(a)· short3find
January 2020Q5(b)· short4hence, find
January 2020Q6(a)· short3find
January 2020Q6(b)· short3find
January 2020Q6(c)· short2find
January 2020Q7(a)· short3state
January 2020Q7(b)· short2state
January 2020Q8· long6find
January 2020Q9· long6find
January 2020Q10(a)· short3sketch
January 2020Q10(b)· short2hence or otherwise, find
January 2020Q10(c)· short3find, simplify, hence or otherwise
January 2020Q11(a)· short3find
January 2020Q11(b)· long8find
October 2019Q1(a)· short2find the exact value
October 2019Q1(b)· short3find, simplify
October 2019Q2(a)· short4find
October 2019Q2(b)· short1state
October 2019Q3(a)· short3find
October 2019Q3(b)· long5find
October 2019Q3(c)· short2use
October 2019Q4(a)· short3find, give your answer to ...
October 2019Q4(b)· short2find, give your answer to ...
October 2019Q5(a)· short3find, simplify
October 2019Q5(b)· short4find
October 2019Q6(a)· short3sketch, state
October 2019Q6(b)· long5find
October 2019Q7(a)· short2find
October 2019Q7(b)· short3find, simplify
October 2019Q7(c)· short1explain
October 2019Q8· long5solve, simplify
October 2019Q9(a)· short1state
October 2019Q9(b)· short1state
October 2019Q9(c)· short2find
October 2019Q10(a)· short2deduce
October 2019Q10(b)· short3write in the form
October 2019Q10(c)· short2hence or otherwise, find
October 2019Q10(d)· short3find, hence, state
October 2019Q11(a)· short2find
October 2019Q11(b)· long8find
June 2019Q1(a)· short3find, simplify
June 2019Q1(b)· short3find
June 2019Q2(a)· short2simplify
June 2019Q2(b)· short3hence or otherwise, solve
June 2019Q3(a)· short3show that
June 2019Q3(b)· long5formulate, solve
June 2019Q3(c)· short1hence, state
June 2019Q4· long5find, simplify
June 2019Q5(a)· short3find
June 2019Q5(b)· short4hence, find
June 2019Q6(a)· short4find
June 2019Q6(b)· short3hence, find
June 2019Q7(a)· short3find, give your answer to ...
June 2019Q7(b)· short3find, give your answer to ...
June 2019Q7(c)· short4hence, find, give your answer to ...
June 2019Q8(a)· short4find
June 2019Q8(b)· long5find
June 2019Q9(a)· short2state
June 2019Q9(b)· short2sketch, label
June 2019Q9(c)· short3hence, find
June 2019Q10(a)· short1state
June 2019Q10(b)· short4find
June 2019Q10(c)· short3hence, show that
June 2019Q10(d)· short2state
January 2019Q1· short4find, simplify
January 2019Q2· short3find, simplify
January 2019Q3(a)· short2find
January 2019Q3(b)· short3find
January 2019Q4· short3identify
January 2019Q5(a)· short2state
January 2019Q5(b)· short2sketch
January 2019Q5(c)· short2hence or otherwise, deduce
January 2019Q6(a)· short4solve
January 2019Q6(b)· short3solve
January 2019Q7(a)· short3find, give your answer to ...
January 2019Q7(b)· short3find, give your answer to ...
January 2019Q8(a)· short1state
January 2019Q8(b)· short1state
January 2019Q8(c)· short2state
January 2019Q8(d)· short2state, write down
January 2019Q9· long7find
January 2019Q10(a)· short4show that
January 2019Q10(b)· short3hence, find
January 2019Q11(a)· short4sketch
January 2019Q11(b)· short3show that
January 2019Q11(c)· long5find
January 2019Q12(a)· short4find
January 2019Q12(b)· long5find

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