Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 10
18 practice questions
Practice questions
11–18 of 18
Question 11
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 12
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 13
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 14
3 marks · Normal
Answer and see the solution →Find all values of between and such that . Give your answers in degrees.
Question 15
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.
Question 16
2 marks · Hard
Answer and see the solution →Calculate the value of .
Question 17
4 marks · Hard
Answer and see the solution →In triangle DEF, side DE = 11.3 cm, side EF = 8.7 cm, and angle DEF = 38°. Calculate the length of side DF. Give your answer correct to 3 significant figures.
Question 18
4 marks · Hard
Answer and see the solution →Explain why the formula can be used to calculate the area of any triangle, not just right-angled triangles.