Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 5
104 practice questions
Topics covered
Practice questions
41–50 of 104
Question 41
3 marks · Easy
Answer and see the solution →The graph of y = x^2 + 1 is translated 2 units up.
(a)[1 mark]Write down the equation of the new graph.
(b)[1 mark]State the coordinates of the minimum point of the original graph y = x^2 + 1.
(c)[1 mark]State the coordinates of the minimum point after the translation.
Question 42
2 marks · Easy
Answer and see the solution →Calculate the y-intercept of the quadratic curve y = 2x^2 - 3x + 7.
Question 43
1 mark · Easy
Answer and see the solution →What is the name of the graphical shape formed by the function y = x^2?
Question 44
2 marks · Normal
Answer and see the solution →Find the gradient of the straight line passing through the points (2, 7) and (6, 3).
Question 45
4 marks · Normal
Answer and see the solution →The line l has equation .
(a)[1 mark]Write down the gradient of l.
(b)[1 mark]Find the gradient of a line perpendicular to l.
(c)[2 marks]Find the equation of a line perpendicular to l that passes through the point (2, 1), giving your answer in the form .
Question 46
2 marks · Normal
Answer and see the solution →Find the mid-point of the line joining the points A(3, -4) and B(-5, 6).
Question 47
3 marks · Normal
Answer and see the solution →Copy and complete the table of values for for , then write the coordinates of the minimum point.
Table of values for \( y = x^2 - 2x + 1 \) x -1 0 1 2 3 y Question 48
3 marks · Normal
Answer and see the solution →Consider the region defined by the inequalities and .
(a)[2 marks]Describe how you would represent this region on a graph, stating whether each line should be solid or dashed.
(b)[1 mark]For the line , give a suitable test point and check whether it lies inside the required region.
Question 49
2 marks · Normal
Answer and see the solution →The distance between two points A(4, -2) and B(-2, 1) can be found using Pythagoras’ Theorem. Work out the length of AB.
Question 50
2 marks · Normal
Answer and see the solution →Describe the transformation that maps the graph of onto the graph of .