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Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher |
The diagram (not drawn to scale) shows a right-angled triangle.
Calculate the length of side BC to three significant figures.
2. | GCSE Higher |
Work out the value of \(x\), the length in centimetres of one of the sides of this right-angled triangle.
Give your answer correct to 1 decimal place.
3. | GCSE Higher |
ABC is a right-angled triangle as shown in the diagram below. Calculate the length of AB giving your answer correct to three significant figures.
4. | GCSE Higher |
An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29o. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.5 metres above ground level.
This diagram is not drawn to scale.
Calculate the full height of the tree.
5. | GCSE Higher |
The diagram shows a trapezium where the sides AC and BD are parallel.
Calculate the length of side CD
6. | GCSE Higher |
Triangle ABC has a right angle at C.
Angle BAC = 54°.
AB = 22.6 cm.
Calculate the length of BC to three significant figures.
7. | IB Studies |
Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. He observes a plane that is at an angle of elevation of 25o from where he is standing at point N. The plane is at a height of 390 metres as can be seen in the following diagram (not to scale).
(a) Calculate the horizontal distance, NH, of the plane from Neung. Give your answer to the nearest metre.
The plane took off from a point T, which is 230 metres from where Neung is standing, as shown in the following diagram (not to scale).
(b) Calculate the angle ATH, the take-off angle of the plane to the nearest degree.
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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
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