Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
21–30 of 48 · Normal
Question 21
4 marks · Normal
Answer and see the solution →The table shows some values for the function .
x -2 -1 0 1 2 y Complete the table.
Question 22
2 marks · Normal
Answer and see the solution →State the algebraic form of a reciprocal equation and give an example.
Question 23
3 marks · Normal
Answer and see the solution →The graph of crosses the y-axis at a certain point.
Find the coordinate where the graph crosses the y-axis. Explain your method.
Question 24
3 marks · Normal
Answer and see the solution →The graph of is drawn for .
Explain how you can estimate, from the graph, the value of when , and describe the process for doing this accurately.
Question 25
2 marks · Normal
Answer and see the solution →Calculate the length of the arc of a circle with radius 7 cm and angle 45° at the centre.
Question 26
3 marks · Normal
Answer and see the solution →A closed cylindrical water tank has a diameter of 2 m and a height of 3.5 m.
Calculate:
(a)[2 marks]The volume of the tank. Give your answer in cubic metres.
(b)[1 mark]The total surface area of the tank (including top and bottom). Give your answer in square metres.
Question 27
3 marks · Normal
Answer and see the solution →Explain how you know that two triangles with sides in the ratio 2:3 are similar. Then, if the smaller triangle has an area of 8 cm², find the area of the larger triangle.
Question 28
4 marks · Normal
Answer and see the solution →(a)[2 marks]A sector of a circle has a radius of 6 cm. The angle at the centre is 75°.
Calculate the length of the arc. Give your answer to 3 significant figures.
(b)[2 marks]Work out the area of the sector. Give your answer to 3 significant figures.
Question 29
4 marks · Normal
Answer and see the solution →The table shows the dimensions of three solid objects:
Solids Shape Key dimension(s) Unit Sphere r = 4 cm Cone r = 3, h = 7 cm Cylinder r = 2, h = 5 cm Complete the table below by calculating the volume and total surface area of each solid. Give all answers to 3 significant figures.
Question 30
2 marks · Normal
Answer and see the solution →The areas of two similar rectangles are 45 cm² and 125 cm². If the shorter side of the smaller rectangle is 5 cm, calculate the corresponding side of the larger rectangle.