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Core Practice

Trigonometry Practice Questions – Core Level

Core-level trigonometry questions for IGCSE 0580 Papers 1 and 3. Questions progress from easier to more challenging.

Questions

1
[2 marks] easy

Find the hypotenuse of a right triangle with sides 3 cm and 4 cm

2
[2 marks] easy

Find the missing side using cos 30° in a right triangle with hypotenuse 10 cm

3
[2 marks] medium

Find angle θ if tan θ = 5/12

4
[2 marks] medium

A right triangle has hypotenuse 13 cm and one side 12 cm. Find the other side.

5
[2 marks] medium

Find the distance between points (0,0) and (3,4)

6
[2 marks] easy

Find the area of a right triangle with base 6 cm and height 8 cm

7
[1 marks] easy

Which trig ratio uses the opposite and adjacent sides?

8
[3 marks] hard

Find the space diagonal of a cuboid 3×4×12

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Answers & Worked Solutions

Question 1 Solution

Answer: 5 cm

Question 2 Solution

Answer: 8.66 cm

Question 3 Solution

Answer: 22.6°

Question 4 Solution

Answer: 5 cm

Question 5 Solution

Answer: 5 units

Question 6 Solution

Answer: 24 cm²

Question 7 Solution

Answer: Tangent (tan)

Question 8 Solution

Answer: 13

Frequently Asked Questions

Are these real past paper questions?

These are written in IGCSE 0580 style. For past papers, visit our past papers section.

How should I use these?

Work through under timed conditions, then check answers. Focus on understanding the method.

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