Trigonometry — IGCSE Mathematics - International (0607) questions by topic
Right-angled and non-right-angled triangles both appear here: finding a missing angle from a hypotenuse and adjacent side, showing a length result algebraically in a rhombus-based diagram, and calculating a projectile's vertical speed from a sine formula all sit within this one topic.
Find, show, calculate, state and work out are the top command words, worth from 2 to 11 marks, across 14 questions set in 2025 papers. A show question demands every algebraic step laid out convincingly rather than just a final answer, so practise writing full working line by line, then use instant marking to catch a dropped bracket or premature rounding before it costs a method mark.
May–June 2025, Paper 21
Solve tan x = sqrt(3) for values of x between 0 degrees and 360 degrees.
Answer this question and get it marked →May–June 2025, Paper 22
The diagram shows two right-angled triangles joined along a common vertical side of length x cm (NOT TO SCALE). In the left triangle, the hypotenuse is 10 cm, the angle at the…
Answer this question and get it marked →May–June 2025, Paper 23
f(x) = cos x, 0° <= x <= 360° Write down the exact value of f(0).
Answer this question and get it marked →The diagram (not to scale) shows a triangular prism. The cross-section is a right-angled triangle EAB. AE = 3 cm, AB = 4 cm and BC = 12 cm. Work out the length of BF.
Answer this question and get it marked →May–June 2025, Paper 31
The diagram shows a right-angled triangle, with the right angle opposite the 2.9 cm side (the hypotenuse). The side adjacent to angle x is 2.1 cm and the hypotenuse is 2.9 cm. Use…
Answer this question and get it marked →May–June 2025, Paper 33
A right-angled triangle has a horizontal base of 4.4 m and a vertical right-hand side of 2.5 m, with the right angle at the bottom-right. The angle at the bottom-left vertex…
Answer this question and get it marked →May–June 2025, Paper 41
Triangle ABC is the cross-section of a prism. AC = 5.7 cm, NC = 3.6 cm and the length of the prism is 8 cm. Angle ABN = 72° and angle ANC = 90°. N lies on BC and AN is the…
Answer this question and get it marked →The diagram shows a triangular field. AB = 140 m and BC = 260 m. Angle ABC = 68°. Show that AC = 244.8 m correct to 1 decimal place.
Answer this question and get it marked →May–June 2025, Paper 42
The area of triangle ABC is 74.4 cm^2. AB = 12.4 cm and angle ABC = 30°. Show that BC = 24 cm.
Answer this question and get it marked →In this question, all lengths are in centimetres. The diagram shows a quadrilateral ABCD. ABCE is a rhombus and CDE is a right-angled triangle (right angle at D). AC = (2…
Answer this question and get it marked →May–June 2025, Paper 43
The diagram shows a right-angled triangle. The vertical side has length 6 cm and the horizontal side (adjacent to the angle w°) has length 11 cm. The right angle is between the 6…
Answer this question and get it marked →The diagram shows a triangle. One interior angle is 40°, another interior angle is 75°. The side of length y cm is opposite the unmarked angle and lies between the 40° vertex and…
Answer this question and get it marked →May–June 2025, Paper 62
Stage 2. The athlete releases the hammer at a speed of 20 m/s with release angle 30 degrees, from a point 2 m above the ground. The vertical speed S m/s is modelled by S = V sin A…
Answer this question and get it marked →An athlete uses the best release angle. The hammer has a constant horizontal speed which is equal to the hammer's vertical speed at the moment of release. An athlete uses the best…
Answer this question and get it marked →Other IGCSE Mathematics - International topics
- Algebra (75)
- Number (70)
- Statistics (21)
- Geometry (20)
- Mensuration (18)
- Functions (14)
- Coordinate geometry (8)
- Vectors and transformations (8)
- Sets (6)
- Probability (5)