Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 5
104 practice questions
Topics covered
Practice questions
21–30 of 48 · Normal
Question 21
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 22
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 23
2 marks · Normal
Answer and see the solution →Describe the transformation that maps the graph of onto the graph of .
Question 24
2 marks · Normal
Answer and see the solution →Explain why the product of the gradients of two perpendicular lines (neither vertical nor horizontal) is always -1.
Question 25
1 mark · Normal
Answer and see the solution →Write down the column vector that translates the point (–2, 5) to the point (1, 3).
Question 26
3 marks · Normal
Answer and see the solution →Triangle P is translated and then reflected. Triangle P with vertices A(1, 1), B(4, 1) and C(1, 4) is translated by the vector , then reflected in the line . Give the coordinates of the vertices after both transformations. Show all your working.
Question 27
3 marks · Normal
Answer and see the solution →The diagram shows trapezium Q with vertices at (2, 1), (6, 1), (6, 3), and (2, 3).
Trapezium Q a) Write down the vector that translates Q so that P1 moves to (4, –2).
b) What are the new coordinates of P3 after the translation?
(a)[1 mark]Write down the translation vector.
(b)[2 marks]Calculate the new coordinates of P3 after the translation.
Question 28
2 marks · Normal
Answer and see the solution →Describe fully the single transformation that maps the triangle with vertices (3, 2), (6, 2), (6, 5) onto the triangle with vertices (–3, 2), (–6, 2), (–6, 5).
Question 29
2 marks · Normal
Answer and see the solution →How are the object and the image related if a shape is reflected or rotated? Write one word.
Question 30
3 marks · Normal
Answer and see the solution →A shape is enlarged by a scale factor of 3 about the centre (0, 0). One vertex of the original shape is at (–2, 4). What are the coordinates of the corresponding vertex on the image? Show your working.