Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 10
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Write down the maximum and minimum values of the function for .
Question 2
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 3
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 .
Question 4
4 marks · Normal
Answer and see the solution →The function is plotted for angles from to .
(a)[2 marks]On the axes below, sketch the graph of for .
Axes for \( y = \cos \theta \) graph. Sketch with labelled key points. (b)[1 mark]Write down the value of between and for which is at its minimum.
(c)[1 mark]State the period of the function in degrees.
Question 5
4 marks · Normal
Answer and see the solution →The table below gives values for triangle STU.
Triangle STU data Side Length (cm) ST 5.2 TU 6.8 SU 7.1 The angle opposite ST is and the angle opposite TU is .
Use the sine rule to calculate the value of to 3 significant figures.
Question 6
2 marks · Normal
Answer and see the solution →Calculate the area of a triangle with sides 7.2 cm and 5.1 cm, and included angle . Give your answer to 2 decimal places.
Question 7
3 marks · Normal
Answer and see the solution →Find all values of between and such that . Give your answers in degrees.
Question 8
3 marks · Normal
Answer and see the solution →Explain how to determine whether the sine rule or the cosine rule should be used to solve a triangle. Give an example for each.