Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
51–60 of 106
Question 51
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 52
2 marks · Hard
Answer and see the solution →The curve is drawn on a set of axes. Solve the equation by referring to the graph, and write down both solutions for .
Question 53
4 marks · Hard
Answer and see the solution →A student is asked to solve the equation by drawing suitable graphs.
Write down:
(a)[1 mark]Which two graphs the student must draw.
(b)[1 mark]Explain how the solutions can be found using these graphs.
(c)[2 marks]If the graphs intersect at one point only, estimate the solution for to one decimal place.
Question 54
4 marks · Hard
Answer and see the solution →Consider the simultaneous equations and .
Explain, step by step, how you would use graphs to solve these equations simultaneously, and write down the solution(s) for and .
Question 55
1 mark · Easy
Answer and see the solution →Write the column vector for a translation three units right and two units down.
Question 56
2 marks · Easy
Answer and see the solution →Find the magnitude of the vector .
Question 57
2 marks · Easy
Answer and see the solution →Given and , write down the vector as a column vector.
Question 58
3 marks · Easy
Answer and see the solution →In the diagram below, OABC is a parallelogram. and .
Parallelogram OABC. (a)[1 mark]Write down the column vector .
(b)[1 mark]Express as a column vector.
(c)[1 mark]Show that is a parallelogram.
Question 59
3 marks · Easy
Answer and see the solution →Use the coordinates in the table to write each displacement as a column vector.
Displacements as Vectors Vector Start End Column vector p (1, 4) (6, 2) q (3, -1) (7, 3) r (-2, 5) (0, 7) Question 60
1 mark · Easy
Answer and check →Give the exact value of the magnitude of the vector .