Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 10
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write down the formula for the area of a triangle when two sides are of length and and the included angle is .
Question 2
2 marks · Easy
Answer and see the solution →Calculate the value of .
Question 3
2 marks · Easy
Answer and see the solution →In triangle XYZ, sides XY = 9 cm, XZ = 7 cm, and YZ = 12 cm. Angle YXZ is opposite side YZ. Can you use the sine rule to find angle YXZ? Explain your answer.
Question 4
3 marks · Easy
Answer and see the solution →The triangle below has sides PQ = 5.0 cm and QR = 6.0 cm, and angle PQR = 60°.
Triangle PQR (not to scale) (a)[1 mark]Write down the lengths of the two sides and the angle needed to calculate the area of triangle PQR using trigonometry.
(b)[2 marks]Calculate the area of triangle PQR, giving your answer to 2 decimal places.
Question 5
3 marks · Easy
Answer and see the solution →The table below gives values for the function . Complete the missing values for and .
Values for \( y = \sin \theta \) (degrees) 0 90 180 270 360 Question 6
1 mark · Easy
Answer and see the solution →State whether the sine rule or cosine rule would be used to find the third side of a triangle when you know two sides and the included angle.
Question 7
2 marks · Easy
Answer and see the solution →Calculate the area of a triangle with sides 9.0 cm and 4.5 cm and included angle 45°. Give your answer to 2 decimal places.
Question 8
2 marks · Normal
Answer and see the solution →Write down the maximum and minimum values of the function for .
Question 9
3 marks · Normal
Answer and see the solution →In triangle PQR, cm, cm, and . Calculate the length of QR. Give your answer correct to 3 significant figures.
Question 10
3 marks · Normal
Answer and see the solution →Explain why the area of a triangle with sides of lengths and , and included angle , can be written as .