Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
11–20 of 48 · Normal
Question 11
4 marks · Normal
Answer and see the solution →A formula links the area of a rectangle to its length and width :
(a)[1 mark]Substitute and . Work out the area .
(b)[2 marks]Rearrange the formula to make the subject.
(c)[1 mark]If the area and , find .
Question 12
3 marks · Normal
Answer and see the solution →Complete the table for where is directly proportional to .
n 1 2 4 m 5 Question 13
2 marks · Normal
Answer and see the solution →Evaluate .
Question 14
4 marks · Normal
Answer and see the solution →Given that is inversely proportional to .
(a)[2 marks]If when , write a formula for in terms of .
(b)[1 mark]Calculate the value of when .
(c)[1 mark]Find the value of when .
Question 15
4 marks · Normal
Answer and see the solution →Solve the equation for \( x \ ):
Question 16
4 marks · Normal
Answer and see the solution →The time (in seconds) for a task is inversely proportional to the number of people working.
(a)[2 marks]If 3 people can do the task in 20 seconds, write a formula for in terms of .
(b)[1 mark]How long does the task take with 5 people?
(c)[1 mark]How many people are needed to complete the task in 12 seconds?
Question 17
2 marks · Normal
Answer and see the solution →Calculate the gradient of the straight line passing through the points (4, -5) and (10, 7).
Question 18
3 marks · Normal
Answer and see the solution →Find the equation of a straight line with a gradient of $-3$ that passes through the point (2, 7). Write your answer in the form $y = mx + c$.
Question 19
4 marks · Normal
Answer and see the solution →The line $y = 2x - 4$ is shown below.
Graph of $y = 2x - 4$ (a)[1 mark]Write down the coordinates where the line crosses the y-axis.
(b)[1 mark]Find the gradient of this line.
(c)[1 mark]Find the x-coordinate where the line crosses the x-axis.
(d)[1 mark]Write down the equation of a line parallel to $y = 2x - 4$ that passes through (0, 3).
Question 20
3 marks · Normal
Answer and see the solution →A straight line passes through the points $A(3, 5)$ and $B(7, 13)$.
Find the equation of the line in the form $y = mx + c$.