Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
11–20 of 41 · Easy
Question 11
3 marks · Easy
Answer and see the solution →A rectangular swimming pool is 4 m longer than it is wide. Its area is 60 m².
(a)[1 mark]Let the width be metres. Write a quadratic equation to represent the area.
(b)[2 marks]Solve your equation to find the width of the swimming pool.
Question 12
3 marks · Easy
Answer and see the solution →The following table shows three different quadratic equations. For each equation, state the number of real solutions.
Table of quadratic equations Equation Number of real solutions x^2 - 9 = 0 x^2 + 2x + 5 = 0 x^2 - 4x + 4 = 0 Question 13
1 mark · Easy
Answer and see the solution →A ball is thrown and its height (in metres) t seconds after being thrown is given by .
At what time does the ball hit the ground again?
Question 14
2 marks · Easy
Answer and see the solution →Solve the inequality and write your answer as an inequality.
Question 15
1 mark · Easy
Answer and check →The equation of a cubic graph is .
Write down the value of when .
Question 16
2 marks · Easy
Answer and see the solution →A reciprocal graph is given by .
Calculate the value of when .
Question 17
2 marks · Easy
Answer and see the solution →The graph of is drawn for .
Explain what happens to the value of as gets larger and larger.
Question 18
3 marks · Easy
Answer and see the solution →The equation models the volume, in cubic centimetres, of a container where is the length in centimetres.
(a)[1 mark]Calculate the volume when .
(b)[2 marks]Find the value of for which between and .
Question 19
3 marks · Easy
Answer and see the solution →The function is to be plotted for .
Complete the table for the given values of .
(a)[3 marks]x y -1 0 1 2 Question 20
1 mark · Easy
Answer and see the solution →Write down the algebraic form of a simple cubic equation.