Home / CIE iGCSE Maths C3.6 Parallel lines – Exam Style Practice Questions- Paper 3

CIE iGCSE Maths C3.6 Parallel lines - Exam Style Practice Questions- Paper 3- New Syllabus

IGCSE Mathematics(0580) Practice Questions Paper 3 - All Chapters

Question

The equation of line L is \(y=5x-3\).

(a) Write down the gradient of line L.

(b) Write down the equation of a line parallel to line L.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C3.6 Parallel lines
▶️ Answer/Explanation

(a)
In the slope-intercept form \(y = mx + c\), the value of \(m\) represents the gradient.
Here, \(m = 5\).
✅ Answer: 5

(b)
Any line parallel to line L must share the same gradient (\(m = 5\)) but can have a different y-intercept (\(c\)).
An example is \(y=5x\).
✅ Answer: \(y=5x+k\) (where \(k \neq -3\))

Question

The diagram shows a point P, a shape S and lines A and B on a \(1cm^{2}\) grid.

Grid diagram

(a) Line A is parallel to line B. Explain what parallel means.

(b) Write down the coordinates of point P.

(c) (i) Write down the mathematical name for shape S.

(ii) Work out the area of shape S.

(d) (i) Find the gradient of line A.

(ii) Write down the equation of line A.

▶️ Answer/Explanation
Answers:

(a) Parallel lines never meet, remaining equidistant apart.

(b) (5,8)

(c)(i) Parallelogram (ii) 15cm² (base×height)

(d)(i) 2/5 (rise/run) (ii) y=(2/5)x+6 (using y=mx+c)

More IGCSE Mathematics(0580) Practice Questions Paper 3 ........
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