Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
61–70 of 108
Question 61
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 62
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 63
2 marks · Normal
Answer and see the solution →Write down the maximum and minimum values of the function for .
Question 64
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 65
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 66
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 67
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 68
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 69
3 marks · Normal
Answer and see the solution →Find all values of between and such that . Give your answers in degrees.
Question 70
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.