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Cambridge IGCSE Mathematics · 0580

IGCSE Mathematics (0580) Trigonometry past paper questions

Trigonometry questions cover Pythagoras, SOHCAHTOA, the sine and cosine rules, and bearings. Topical practice separates the right-angled cases from the general-triangle ones so you pick the right tool fast.

190 free questions from 2016–2025, each with its marking scheme. Open the full topical bank to filter by subtopic, paper, and year.

Trigonometry in IGCSE Mathematics 0580 exams, 2020–2025

Across 2020–2025, Trigonometry accounted for 208 questions worth 1,533 marks in Cambridge IGCSE Mathematics (0580) papers.

By year
YearQuestionsMarks
202037307
202130236
202233243
202336282
202438288
202534177

Appears in

  • Paper 1 · 28 qs
  • Paper 2 · 71 qs
  • Paper 3 · 33 qs
  • Paper 4 · 76 qs
All most-tested Mathematics topics

  1. 2025 May/Jun · Paper 2 · Q22 · 4 marks

    22 (a) Write down the exact value of tan 60°. … [1] (b) Solve sinx 2 1 0 - = for x 0 3 0 6 ° ° G G . x = … or x = … [3]
    Marking scheme
    Mark scheme: 22(a) 3 1 22(b) 30, 150 3 B2 for 30 or 150 or M1 for sin x = 1 2 If 0 or M1 scored, SC1 for one acute angle and one obtuse…Get Steven’s plain-English explanation

  2. 2021 May/Jun · Paper 1 · Q24 · 2 marks

    24 x° 30 cm 18 cm NOT TO SCALE The diagram shows a right-angled triangle. Show that the value of x is 36.9, correct to 1…
    Marking scheme

    Mark scheme — 2021 Paper 1 Q24

    24 sin [x =] 18 ÷ 30 oe or better M1 36.87 or 36.86… A1

    Get Steven’s plain-English explanation

  3. 2021 Oct/Nov · Paper 1 · Q24 · 5 marks

    24 (a) NOT TO SCALE 12.9 cm x cm 8.6 cm Calculate the value of x. x = … [2] (b) NOT TO SCALE y cm 3.8 cm 50° Show that the…
    Marking scheme
    Mark scheme: 24(a) 15.5 or 15.50... 2 M1 for 12.92 + 8.62 or better 24(b) y = 3.8 cos50 M2 M1 for cos 50 [=] 3.8 y or better 5.91... A1Get Steven’s plain-English explanation

  4. 2021 Oct/Nov · Paper 2 · Q9 · 2 marks

    9 12 cm 7 cm NOT TO SCALE x° Calculate the value of x. x = … [2]
    Marking scheme
    Mark scheme: 9 54.3 or 54.31… 2 M1 for cos [x] = 7 12 oeGet Steven’s plain-English explanation

  5. 2021 Oct/Nov · Paper 2 · Q18 · 3 marks

    18 NOT TO SCALE 30° 800 m 2300 m C A B The diagram shows some land in the shape of a triangle ABC. Houses are built on this…
    Marking scheme
    Mark scheme: 18 1150 3 M2 for 1 800 2300 sin30 400 2   × × × ÷     oe or M1 for 1 800 2300 sin30 2 × × × oeGet Steven’s plain-English explanation

Showing 5 of 190 free Trigonometry questions.

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