Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 7
19 practice questions
Practice questions
1–4 of 4 · Hard
Question 1
2 marks · Hard
Answer and see the solution →A sector of a circle has a radius of 10 cm. The angle at the centre is 72°. Calculate the area of the sector. Give your answer to 3 significant figures.
Question 2
4 marks · Hard
Answer and see the solution →A closed cone has a base radius of 6 cm and a perpendicular height of 8 cm.
(a)[1 mark]Calculate the slant height of the cone. Give your answer to 3 significant figures.
(b)[3 marks]Calculate the total surface area of the cone. Give your answer to 3 significant figures.
Question 3
4 marks · Hard
Answer and see the solution →Two solid spheres are similar. The surface area of the smaller sphere is 48 cm² and the surface area of the larger sphere is 192 cm².
(a)[2 marks]Explain how you would find the ratio of the radii of the two spheres.
(b)[2 marks]Using your answer to (a), work out the ratio of the volumes of the smaller sphere to the larger sphere.
Question 4
2 marks · Hard
Answer and see the solution →Find the length of the arc of a circle with radius 12 cm and angle 40° at the centre. Give your answer to 2 decimal places.