Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
51–60 of 105
Question 51
6 marks · Hard
Answer and see the solution →The line L passes through P (–4, 5) and Q (2, –1). A second line M is parallel to L and passes through the point R (1, 7).
(a)[3 marks]Find the equation of the line L in the form y = mx + c.
(b)[1 mark]Write down the gradient of line M.
(c)[2 marks]Find the equation of line M in the form y = mx + c.
Question 52
5 marks · Hard
Answer and see the solution →The lines y = 2x + 3 and y = -x + k intersect at the point (1, 5).
(a)[2 marks]Find the value of k.
(b)[2 marks]Verify that (1, 5) lies on both lines.
(c)[1 mark]Determine the equation of the line that passes through the origin and the point of intersection.
Question 53
1 mark · Easy
Answer and see the solution →Write down the name given to a straight line passing through the centre of a circle and touching the circumference at both ends.
Question 54
2 marks · Easy
Answer and see the solution →A right-angled triangle has short sides of 9 cm and 12 cm. Work out the length of the hypotenuse. Give your answer to 1 decimal place.
Question 55
1 mark · Easy
Answer and see the solution →Name the part of a circle that is a straight line connecting any two points on the circumference but does NOT necessarily pass through the centre.
Question 56
2 marks · Easy
Answer and see the solution →Find the value of in the following triangle.
Right-angled triangle with sides labelled. Question 57
1 mark · Easy
Answer and see the solution →In any triangle, what is the sum of the interior angles?
Question 58
2 marks · Easy
Answer and see the solution →Look at the circle below. O is the centre, and AB is a chord. OM is perpendicular to AB. AB = 10 cm. OM = 4 cm.
Circle with centre O, chord AB, midpoint M, and perpendicular OM. (a)[1 mark]Write down the length of AM.
(b)[1 mark]Calculate the radius of the circle to 1 decimal place.
Question 59
1 mark · Easy
Answer and see the solution →What do we call a line that touches a circle at exactly one point without cutting through it?
Question 60
2 marks · Normal
Answer and see the solution →A right-angled triangle has shorter sides of lengths 7 cm and 24 cm. Calculate the length of the hypotenuse.
(a)[2 marks]