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Past papers · Mathematics

WMA14
Pure Mathematics 4

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

All topics

292 question parts · 1112 marks

SittingQuestionMarksAsks you to
June 2025Q1(b)· long6find
June 2025Q2· short4show that
June 2025Q3· long6solve
June 2025Q4(a)· short3write in the form
June 2025Q4(b)· long5hence, use, find the exact value
June 2025Q5(a)· long5use, find
June 2025Q5(b)· short4show that, find
June 2025Q6(a)· short2write down
June 2025Q6(b)· long6find
June 2025Q7(a)· short4show that, find
June 2025Q7(b)· short2hence, find
June 2025Q8(a)· short4find, simplify
June 2025Q8(b)· short1state
June 2025Q8(c)· short2hence or otherwise, show that, find
June 2025Q8(d)· short3use, find, simplify
June 2025Q9(a)· short4show that, find
June 2025Q9(b)· short4find
June 2025Q9(c)· short4use, find, give your answer to ...
June 2025Q10· short4use, show that
January 2025Q1· long5use, find, simplify
January 2025Q2(a)· long6find
January 2025Q2(b)· short2find the exact value
January 2025Q3(a)· long5find
January 2025Q3(b)· short1state
January 2025Q3(c)· short2find
January 2025Q4(i)· short4find
January 2025Q4(ii)· long6solve, find, give your answer to ...
January 2025Q5(i)· short4find, simplify
January 2025Q5(ii)· long6use, show that, find
January 2025Q6· short4use, prove
January 2025Q7· long6use, find the exact value
January 2025Q8(a)· short2find
January 2025Q8(b)· short2hence, find
January 2025Q8(c)· short4find, give your answer to ...
January 2025Q8(d)· short4find
January 2025Q9(a)· long6use, show that, find
January 2025Q9(b)· long6use, find
October 2024Q1(a)· short4find, simplify
October 2024Q1(b)· short2use, find
October 2024Q2· short4use, prove
October 2024Q3(a)· short3show that, find
October 2024Q3(b)· short3find
October 2024Q3(c)· short3show that, find
October 2024Q4(a)· short1verify
October 2024Q4(b)· long5find
October 2024Q4(c)· short3find
October 2024Q5(a)· short2show that
October 2024Q5(b)· short4find
October 2024Q6· long5use, show that, find
October 2024Q7(b)· long6use, find
October 2024Q8(a)· short2find
October 2024Q8(b)· short3find
October 2024Q8(c)· short3find the exact value
October 2024Q8(d)· short2find
October 2024Q9(a)· short2express
October 2024Q9(b)· long6solve, show that, find
October 2024Q9(c)· short2hence, find, give your answer to ...
October 2024Q10(a)· short3show that, find
October 2024Q10(b)· long5hence, use, find
June 2024Q1· long5find, simplify
June 2024Q2(a)· short2find
June 2024Q2(b)· short4find
June 2024Q3· long7find
June 2024Q4(a)· short2show that, find
June 2024Q4(b)· short4find
June 2024Q5(a)· short2find
June 2024Q5(b)· long5show that, find
June 2024Q5(c)· long6write in partial fractions, use, find, simplify
June 2024Q6(a)· short3show that
June 2024Q6(b)· short3hence, show that, find
June 2024Q6(c)· short4find, give your answer to ...
June 2024Q7(a)· long6solve, find
June 2024Q7(b)· short2find
June 2024Q7(c)· short3hence, find, give your answer to ...
June 2024Q8(a)· short4show that, find
June 2024Q8(b)· short4use, prove
June 2024Q9(a)· long6use, show that, find
June 2024Q9(b)· short3hence, use, find, simplify
January 2024Q1· short4find, simplify
January 2024Q2(a)· short4find
January 2024Q2(b)· long6hence, find the exact value
January 2024Q3(a)· long5find
January 2024Q3(b)· short4find
January 2024Q4(a)· short1find
January 2024Q4(b)· short4find, give your answer to ...
January 2024Q5(a)· short4find
January 2024Q5(b)· long5hence, solve
January 2024Q6(a)· short4find
January 2024Q6(b)· short2find
January 2024Q6(c)· short3find, give your answer to ...
January 2024Q6(d)· long5find
January 2024Q7(a)· long5use, show that
January 2024Q7(b)· short3use, find, simplify
January 2024Q8· short4use, prove
January 2024Q9(a)· short3find
January 2024Q9(b)· short4find
January 2024Q9(c)· long5show that, find
October 2023Q1(a)· short4find, simplify
October 2023Q1(b)· short1find
October 2023Q2(a)· short4show that, find
October 2023Q2(b)· short3show that, find
October 2023Q3(i)· long5use, find the exact value, simplify
October 2023Q3(ii)· long7use, show that, find
October 2023Q4(a)· short4prove
October 2023Q5(a)· long5find
October 2023Q5(b)· long5find
October 2023Q6(a)· short1state
October 2023Q6(b)· short3find, simplify
October 2023Q6(c)· short3find
October 2023Q6(d)· short3find
October 2023Q7(a)· short2show that
October 2023Q7(b)· short1hence, calculate
October 2023Q7(c)· short3write in partial fractions
October 2023Q7(d)· long5solve, show that
October 2023Q7(e)· short1find
October 2023Q8(a)· short1state
October 2023Q8(b)· short4use, show that, find
October 2023Q8(c)· short3find, simplify
October 2023Q8(d)· long6show that, hence, use, find
June 2023Q1(a)· long5find, simplify
June 2023Q1(c)· short3hence or otherwise, find, simplify
June 2023Q2(b)· long5find
June 2023Q2(c)· short3find, give your answer in the form
June 2023Q3(a)· short3express
June 2023Q3(b)· short3hence, find
June 2023Q3(c)· long5use, find
June 2023Q4(a)· short2find
June 2023Q4(b)· short4find
June 2023Q4(c)· short2find
June 2023Q4(d)· short2hence, find, simplify
June 2023Q5(i)· short4find
June 2023Q5(ii)· long6use, show that, find
June 2023Q6(a)· long7solve, show that, find
June 2023Q6(b)· short2hence, find, give your answer to ...
June 2023Q7· short4use, prove
June 2023Q8(a)· short1find
June 2023Q8(b)· short1write down
June 2023Q8(c)· short3use, show that
June 2023Q8(d)· long7use, find
January 2023Q1(a)· short3write in partial fractions
January 2023Q1(b)(i)· long5hence, find, simplify
January 2023Q1(b)(ii)· short1find
January 2023Q2(a)· short4show that
January 2023Q2(b)· short2hence or otherwise, find
January 2023Q3· long5use, find, give your answer in the form
January 2023Q4(a)· short4use, show that, find
January 2023Q4(b)· long5hence, find the exact value, simplify
January 2023Q5(a)· short4find
January 2023Q5(b)· short3use, find
January 2023Q6(a)· short3find
January 2023Q6(b)· long5find
January 2023Q7(b)· long5solve, show that, hence, find
January 2023Q7(c)· short3find, give your answer to ...
January 2023Q7(d)· short3find, give your answer to ..., state
January 2023Q8(a)· long5show that
January 2023Q8(b)· long6find
January 2023Q9(a)· short3complete
January 2023Q9(b)· long5hence, prove
October 2022Q1· short3show that, find
October 2022Q2(a)· short3express
October 2022Q2(b)· short4hence, show that, find
October 2022Q3(a)· short2find
October 2022Q3(b)· short3find, give your answer to ...
October 2022Q4(a)· long5find, simplify
October 2022Q4(b)· short1state
October 2022Q4(c)· short2use, find, simplify
October 2022Q5· long6use, find
October 2022Q6(a)· long5find, write in the form
October 2022Q6(b)· short1find the exact value
October 2022Q6(c)· short2find
October 2022Q7(i)· long7use, show that, find
October 2022Q7(ii)· long5show that, find
October 2022Q8· short4complete
October 2022Q9· long5prove
October 2022Q10(a)· long5use, find
October 2022Q10(b)· short2find
October 2022Q10(c)· short1sketch
October 2022Q11(a)· long5show that
October 2022Q11(b)· short4use, find, give your answer to ...
June 2022Q1(a)· short1find
June 2022Q1(b)· short3show that
June 2022Q1(c)· short3hence, find
June 2022Q2(a)· short3express
June 2022Q2(b)· long6hence, find, give your answer in the form
June 2022Q3(a)· short4find
June 2022Q3(b)· short4find
June 2022Q4(a)· short4show that
June 2022Q4(b)· short4find
June 2022Q5(a)· short4use, show that, find
June 2022Q5(b)· short4hence, find the exact value
June 2022Q6(a)· short3find
June 2022Q6(b)· short3find
June 2022Q6(c)· short3hence, find, simplify
June 2022Q7(a)· short4show that
June 2022Q7(b)· short3find
June 2022Q7(c)· short2show that
June 2022Q7(d)· short3hence, find the exact value
June 2022Q8(a)· short2show that, find
June 2022Q8(b)· short3find
June 2022Q8(c)· long5use, find, give your answer to ...
June 2022Q9· short4use, show that
January 2022Q1· long6find, give your answer in the form
January 2022Q2(a)· short4find, simplify
January 2022Q2(b)· short3use, find
January 2022Q3(a)· long6show that, find
January 2022Q3(b)· short3hence, find
January 2022Q4(b)· short3show that
January 2022Q4(c)· short3find, give your answer to ...
January 2022Q5(a)· short4show that, find
January 2022Q5(b)· long6use, find
January 2022Q6· long5use, show that
January 2022Q7(a)· short3show that, find
January 2022Q7(b)· long5hence, find the exact value, give your answer in the form
January 2022Q8(a)· short2write down, give your answer in the form
January 2022Q8(b)· short4show that
January 2022Q8(c)· long5find, give your answer to ...
January 2022Q9(b)· short4hence, find
January 2022Q9(c)· long5show that, find
October 2021Q1· long7find, write in the form
October 2021Q2· long6find, give your answer in the form
October 2021Q3(a)· long5find
October 2021Q3(b)· short2use, find
October 2021Q3(c)· short1hence, explain
October 2021Q4(a)· short4find, simplify
October 2021Q4(b)· short2find, give your answer to ...
October 2021Q5(a)· short4use, find
October 2021Q5(b)· short3find
October 2021Q5(c)· short2find
October 2021Q6· long7use, show that, find
October 2021Q7(a)· long7find, give your answer in the form
October 2021Q7(b)· short2find
October 2021Q8(a)· short3find
October 2021Q8(b)· short4find, simplify
October 2021Q9(a)· short4show that
October 2021Q9(b)· long6find
October 2021Q10(a)· short1complete
October 2021Q10(b)· long5hence, prove
June 2021Q1(a)· long5find
June 2021Q1(b)· short2use, find, give your answer to ...
June 2021Q2· long7find
June 2021Q3(a)· short2find
June 2021Q3(b)· long5find
June 2021Q4· long8use, find the exact value, write in the form
June 2021Q5(a)· short4show that
June 2021Q5(b)· long5find
June 2021Q6(a)· long6show that, hence, find
June 2021Q6(b)· short3show that, find
June 2021Q6(c)· short1state
June 2021Q7(a)· short2find
June 2021Q7(b)· long5find
June 2021Q7(c)· short3find
June 2021Q8(a)· long7solve, give your answer in the form
June 2021Q8(b)· short2hence, find
June 2021Q9(i)· short3show that
June 2021Q9(ii)· long5prove
January 2021Q1(a)· long5find, simplify
January 2021Q1(b)· short2find, give your answer in the form
January 2021Q2(a)· short3find, give your answer to ...
January 2021Q2(b)· short2find, give your answer to ...
January 2021Q3· short2prove
January 2021Q4(a)· long5show that, find
January 2021Q4(b)· short2hence or otherwise, state
January 2021Q5· long8use, find the exact value, give your answer in the form
January 2021Q6(a)· long5find
January 2021Q6(b)· short4find, write in the form
January 2021Q7(a)· long5find
January 2021Q7(b)· short2show that
January 2021Q8· long6prove
January 2021Q9(a)· long7show that, find
January 2021Q9(b)· short3hence, find
January 2021Q10(a)· short3write in partial fractions
January 2021Q10(b)· long7solve, show that
January 2021Q10(c)· short3hence, find
January 2021Q10(d)· short1state
October 2020Q1· short4use, prove
October 2020Q2(a)· short4use, simplify
October 2020Q2(b)· short2find
October 2020Q2(c)· short2find
October 2020Q3· long6show that, find
October 2020Q4(a)· short3find, show that
October 2020Q4(b)· long5show that
October 2020Q4(c)· short4find
October 2020Q5(a)· short3find
October 2020Q5(b)· short4use, find, simplify
October 2020Q6(a)· long5find
October 2020Q6(b)· short2hence, show that
October 2020Q7(i)· long6use, find
October 2020Q7(ii)· long6find
October 2020Q8(a)· long5find
October 2020Q8(b)· long5calculate
October 2020Q9(a)· long7show that, find
October 2020Q9(b)· short2find

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