Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
31–40 of 105
Question 31
4 marks · Normal
Answer and see the solution →Solve the equation for \( x \ ):
Question 32
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 33
4 marks · Hard
Answer and see the solution →Consider the following expression:
Simplify the expression as much as possible, giving your answer in terms of a single fraction.
(a)[2 marks]Simplify and write your answer as a single fraction.
(b)[1 mark]Simplify and write your answer as a single fraction.
(c)[1 mark]Hence or otherwise, simplify the entire expression completely.
Question 34
5 marks · Hard
Answer and see the solution →The formula for the area of a parallelogram is , where is the base and is the height.
(a)[2 marks]Given , , express the area in terms of using index notation.
(b)[3 marks]If , solve for . Give all possible positive values for .
Question 35
3 marks · Hard
Answer and see the solution →Given the formula , rearrange this formula to make the subject. Show all steps clearly.
Question 36
5 marks · Hard
Answer and see the solution →Let , , and be positive numbers. Given that can be written as , find the values of , , and . Show all your working.
(a)[1 mark]Expand and simplify .
(b)[1 mark]Expand and simplify .
(c)[3 marks]Simplify the entire expression by dividing your answers to parts (a) and (b).
Question 37
1 mark · Easy
Answer and check →Which of the following points lies on the line $y = -2x + 3$?
- A.(1, 1)
- B.(-1, 5)
- C.(2, -1)
- D.(-2, 7)
Question 38
1 mark · Easy
Answer and see the solution →Write down the coordinates of the point labelled $P$ on the graph below.
Point $P$ marked on a grid. Question 39
2 marks · Easy
Answer and see the solution →The equation of a straight line is $y = 3x - 5$.
Work out the value of $y$ when $x = 4$.
Question 40
3 marks · Easy
Answer and see the solution →The straight line $y = -2x + 6$ intersects the $y$-axis at point $A$ and the $x$-axis at point $B$.
(a)[1 mark]Write down the coordinates of point $A$ where the line crosses the $y$-axis.
(b)[2 marks]Find the coordinates of point $B$ where the line crosses the $x$-axis.