Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
21–30 of 47 · Normal
Question 21
4 marks · Normal
Answer and see the solution →A student draws the graph of for .
Table of y-values x y -2 -1 -1 3 0 1 1 -1 2 3 3 19 Question 22
2 marks · Normal
Answer and see the solution →The graphs of and intersect at point A. This point has coordinates (1, 1).
Write down the solutions to the simultaneous equations:
Question 23
3 marks · Normal
Answer and see the solution →Use the graph of to solve the equation .
Give your solutions to one decimal place.
Question 24
3 marks · Normal
Answer and see the solution →A student is solving the equation graphically.
They draw the curve and the line and find that the graphs intersect at exactly one point.
Explain what this means about the solutions to the equation.
Question 25
2 marks · Normal
Answer and see the solution →Write the column vector for the displacement from the point (−2, 6) to the point (4, −3).
Question 26
3 marks · Normal
Answer and see the solution →The vector is . Calculate the magnitude of , giving your answer to 3 significant figures.
Question 27
3 marks · Normal
Answer and see the solution →Given the vectors and , write down the vector as a column vector.
Question 28
4 marks · Normal
Answer and see the solution →In the diagram below, OABC is a parallelogram. , . D is a point such that .
Parallelogram OABC with point D marked (a)[1 mark]Express in terms of and .
(b)[1 mark]Find in terms of and .
(c)[2 marks]Show that points O, D and C are collinear.
Question 29
4 marks · Normal
Answer and see the solution →A table shows the endpoints of several vectors. Complete the missing column vectors.
Vector table Vector Starting point Ending point Column vector p (0, 0) (5, 3) q (2, 4) (4, -1) r (−3, 2) (0, 8) s (1, 6) (−2, 2) Question 30
2 marks · Normal
Answer and see the solution →Find the magnitude of the vector .