Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 4
104 practice questions
Topics covered
Practice questions
41–50 of 104
Question 41
2 marks · Normal
Answer and see the solution →A quadratic curve is given by the equation . Find the coordinates of the y-intercept of this curve.
Question 42
3 marks · Normal
Answer and see the solution →For the quadratic equation , complete the table of values for .
(a)[3 marks]Table for y = x^2 + 3x - 4 x -2 -1 0 1 2 3 y Question 43
4 marks · Normal
Answer and see the solution →A straight line has equation .
(a)[1 mark]Write down the gradient of this line.
(b)[1 mark]Find the y-intercept.
(c)[2 marks]Find the value of x when y = 0.
Question 44
4 marks · Normal
Answer and see the solution →The height y (in metres) of a bungee jumper above the ground t seconds after jumping is modelled by .
Complete the following table and plot the graph of y against t for .
t (s) 0 1 2 3 4 5 6 y (m) Use the table to plot a graph. Clearly label your axes.
Question 45
2 marks · Normal
Answer and see the solution →Consider the quadratic curve . Explain how you can tell from the equation whether the curve will be U-shaped or inverted.
Question 46
4 marks · Normal
Answer and see the solution →For the quadratic graph :
(a)[2 marks]Find the x-coordinates where the curve meets the x-axis.
(b)[2 marks]State the coordinates of the turning point.
Question 47
2 marks · Normal
Answer and see the solution →The equation of a straight line is given as . What is the gradient of this line? What does the negative value indicate about its slope?
Question 48
5 marks · Normal
Answer and see the solution →A particle moves along a line. Its distance, s metres, from a point is given by , where t is the time in seconds.
(a)[2 marks]Complete the table for values of t from 0 to 6:
t 0 1 2 3 4 5 6 s (b)[1 mark]State when the particle is closest to the point and what the minimum distance is.
(c)[2 marks]Between which two times is the particle at least 5 metres from the starting point?
Question 49
4 marks · Hard
Answer and see the solution →A projectile is launched so that its height, metres, above the ground after seconds is given by .
(a)[3 marks]Find the maximum height reached by the projectile and the time at which it occurs.
(b)[1 mark]Determine the time when the projectile returns to the ground.
Question 50
3 marks · Hard
Answer and see the solution →A quadratic graph has the general form .
(a)[3 marks]Explain how the values of , , and affect the shape and position of the graph in the coordinate plane.