Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 1
108 practice questions
Topics covered
Practice questions
51–60 of 108
Question 51
2 marks · Normal
Answer and see the solution →A straight line passes through the points (–2, 6) and (4, –6). Work out the gradient of the line.
Question 52
4 marks · Hard
Answer and see the solution →The straight line L passes through the points (–5, 7) and (3, –9).
(a)[2 marks]Calculate the gradient of line L.
(b)[2 marks]Find the equation of line L in the form .
Question 53
3 marks · Hard
Answer and see the solution →Consider the line y = 4x – 7.
(a)[2 marks]Explain whether the point (2, 2) lies above, below, or on the line.
(b)[1 mark]Give a reason for your answer.
Question 54
4 marks · Hard
Answer and see the solution →The point Q has coordinates (k, 12) and lies on the line y = 3x + 6.
(a)[2 marks]Find the value of k.
(b)[2 marks]The point R lies on the same line and has x-coordinate –2. Find the y-coordinate of R.
Question 55
1 mark · Easy
Answer and see the solution →Write down the name of the 2D shape that has three equal sides.
Question 56
2 marks · Easy
Answer and see the solution →(a)[1 mark]Look at the diagram below.
A regular pentagon. Write down the number of lines of symmetry this shape has.
(b)[1 mark]Write down the order of rotational symmetry of the same shape.
Question 57
1 mark · Easy
Answer and see the solution →Write the name of the 2D shape that has exactly one pair of parallel sides.
Question 58
2 marks · Easy
Answer and see the solution →A square and a rhombus both have four equal sides. Give one reason why they are not the same shape.
Question 59
2 marks · Easy
Answer and see the solution →Calculate the size of one angle in a regular hexagon.
Question 60
2 marks · Easy
Answer and see the solution →A triangle labelled PQR with PQ = QR and angle PQR marked. (a)[1 mark]Name the type of triangle shown.
(b)[1 mark]If angle x is 40°, calculate the size of angle PRQ.