Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 4
104 practice questions
Topics covered
Practice questions
21–30 of 48 · Normal
Question 21
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 22
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 23
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 24
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 25
3 marks · Normal
Answer and see the solution →A ladder 4.5 m long leans against a vertical wall, making an angle of 68° with the ground. Calculate the height above the ground that the top of the ladder reaches.
Question 26
4 marks · Normal
Answer and see the solution →Triangle ABC is right-angled at B. AB = 6.2 cm and AC = 11.5 cm. Calculate, giving your answers to 3 significant figures,
(a)[2 marks](a) the length BC
(b)[2 marks](b) the size of angle BAC
Question 27
2 marks · Normal
Answer and see the solution →A right-angled triangle has one angle of 55° and a hypotenuse of 9.3 cm. Find the length of the side adjacent to the 55° angle. Give your answer correct to 3 significant figures.
Question 28
3 marks · Normal
Answer and see the solution →In a quadrilateral ABCD, angles ABC and CDA are right angles. AB = 9 cm, BC = 5 cm, and CD = 7 cm. Describe how you would calculate the area of quadrilateral ABCD.
Question 29
2 marks · Normal
Answer and see the solution →A road rises from a point A to a point B at a constant angle of 6° above the horizontal. The horizontal distance from A to B is 120 m. Calculate the vertical height gained between A and B.
Question 30
4 marks · Normal
Answer and see the solution →The triangle PQR is right-angled at Q. PQ = 8.0 cm and QR = 6.0 cm.
(a)[2 marks](a) Calculate the length PR.
(b)[2 marks](b) Find the value of angle QPR (to the nearest degree).