Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 2
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →A right-angled triangle has shorter sides of lengths 7 cm and 24 cm. Calculate the length of the hypotenuse.
(a)[2 marks]Question 2
2 marks · Normal
Answer and see the solution →Find the length of the side marked x in this right-angled triangle.
(a)[2 marks]Question 3
1 mark · Normal
Answer and see the solution →Write down the name given to a straight line that touches a circle at only one point.
(a)[1 mark]Question 4
3 marks · Normal
Answer and see the solution →A, B, C, and D lie on a circle with centre O. Angle ABC is 115°.
Diagram not accurately drawn. (a)[2 marks]Work out the size of angle CDA.
(b)[1 mark]Explain why your answer is correct.
Question 5
4 marks · Normal
Answer and see the solution →The diagram shows a circle with centre O. The radius of the circle is 5 cm. Chord AB is 8 cm long.
(a)[3 marks]Find the perpendicular distance from O to AB.
(b)[1 mark]Explain why this line bisects AB.
Question 6
4 marks · Normal
Answer and see the solution →In the circle below, centre O, angle BAC = 70° and chord BC is a diameter.
(a)[2 marks]Calculate angle ABC.
(b)[2 marks]Give a reason for your answer.
Question 7
4 marks · Normal
Answer and see the solution →The diagram shows a circle with centre O. PT is a tangent to the circle at P. OP = 7 cm. Work out the length OT if angle OPT = 60°.
Circle with tangent and radius. (a)[3 marks]Find OT.
(b)[1 mark]State the property relating the tangent to the radius at P.
Question 8
2 marks · Normal
Answer and see the solution →A square has sides of length 6 cm. Calculate the length of its diagonal to 3 significant figures.
(a)[2 marks]