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CIE · IGCSE · Mathematics

Trigonometry
Practice Questions

79 CIE IGCSE Mathematics questions on Trigonometry, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Trigonometry

Question 1 · 1 mark · Difficulty 1/3

How many solutions does the equation tan x = 1 have in the interval 0° ≤ x ≤ 360°?

  1. 1
  2. 2
  3. 3
  4. 4
Show answer & explanation
✓ Answer: B — 2
Award 1 mark for correct answer. tan x = 1 when x = 45° (first quadrant) and x = 225° (third quadrant), where tangent is positive. A is incorrect — students often forget that tangent repeats every 180°. C and D are incorrect — tangent has a period of 180°, giving exactly two solutions in 360°.
Question 2 · 1 mark · Difficulty 1/3

A cube has side length 8 cm. What is the length of the diagonal AG that runs from one corner of the cube to the opposite corner through the interior?

  1. 8√2 cm
  2. 8√3 cm
  3. 16 cm
  4. 24 cm
Show answer & explanation
✓ Answer: B — 8√3 cm
Award 1 mark for recognising the space diagonal formula d = a√3 where a is the side length. The space diagonal = 8√3 ≈ 13.9 cm. A is incorrect — this gives the face diagonal (8√2). C is incorrect — this is simply 2 × 8. D is incorrect — this is 3 × 8, adding the sides incorrectly.
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20 questions · 25 min · free

CIE IGCSE Mathematics: Trigonometry FAQ

How many CIE IGCSE Mathematics questions on Trigonometry are there on Kramizo?
Kramizo currently has 79 exam-board-aligned practice questions on Trigonometry for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Trigonometry practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Trigonometry questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Trigonometry typically tested on CIE IGCSE Mathematics papers?
Trigonometry appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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