Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 4
18 practice questions
Practice questions
1–7 of 7 · Easy
Question 1
2 marks · Easy
Answer and see the solution →In the right-angled triangle shown, one side is 12 cm long and the other side (adjacent to the right angle) is 5 cm long. Calculate the length of the hypotenuse.
Question 2
1 mark · Easy
Answer and see the solution →State the sine ratio in a right-angled triangle in terms of the sides.
Question 3
2 marks · Easy
Answer and see the solution →A right-angled triangle has a hypotenuse of 15 cm. One of the other sides is 9 cm. Work out the length of the remaining side.
Question 4
2 marks · Easy
Answer and see the solution →Calculate the size of angle in a right-angled triangle where the side opposite is 7 m and the hypotenuse is 14 m. Give your answer correct to 3 significant figures.
Question 5
3 marks · Easy
Answer and see the solution →PQRS is a rectangle. PQ = 6 cm and QR = 8 cm.
(a)[2 marks]Calculate the length of the diagonal PS.
(b)[1 mark]Work out the perimeter of rectangle PQRS.
Question 6
1 mark · Easy
Answer and see the solution →Explain why the diagonals of a rectangle are always equal in length.
Question 7
2 marks · Easy
Answer and see the solution →A triangle has sides of length 3 cm, 4 cm, and 5 cm. Work out the area of the triangle.