Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 4
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
3 marks · Normal
Answer and see the solution →A ladder 4.5 m long leans against a vertical wall, making an angle of 68° with the ground. Calculate the height above the ground that the top of the ladder reaches.
Question 2
4 marks · Normal
Answer and see the solution →Triangle ABC is right-angled at B. AB = 6.2 cm and AC = 11.5 cm. Calculate, giving your answers to 3 significant figures,
(a)[2 marks](a) the length BC
(b)[2 marks](b) the size of angle BAC
Question 3
2 marks · Normal
Answer and see the solution →A right-angled triangle has one angle of 55° and a hypotenuse of 9.3 cm. Find the length of the side adjacent to the 55° angle. Give your answer correct to 3 significant figures.
Question 4
3 marks · Normal
Answer and see the solution →In a quadrilateral ABCD, angles ABC and CDA are right angles. AB = 9 cm, BC = 5 cm, and CD = 7 cm. Describe how you would calculate the area of quadrilateral ABCD.
Question 5
2 marks · Normal
Answer and see the solution →A road rises from a point A to a point B at a constant angle of 6° above the horizontal. The horizontal distance from A to B is 120 m. Calculate the vertical height gained between A and B.
Question 6
4 marks · Normal
Answer and see the solution →The triangle PQR is right-angled at Q. PQ = 8.0 cm and QR = 6.0 cm.
(a)[2 marks](a) Calculate the length PR.
(b)[2 marks](b) Find the value of angle QPR (to the nearest degree).
Question 7
2 marks · Normal
Answer and see the solution →A rectangle has a diagonal of length 25 m and one of its sides is 24 m. Find the length of the other side.
Question 8
4 marks · Normal
Answer and see the solution →The diagram shows a right-angled triangle XYZ where Y is the right angle, XY = 7.8 cm and angle ZXY = 38°.
Right-angled triangle XYZ (a)[2 marks](a) Calculate the length XZ.
(b)[2 marks](b) Find the length YZ. Give your answer to 2 decimal places.