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Edexcel IGCSE Math A Higher 3.3 Graphs Questions

Use this graphs page to read coordinates, plot points, work with straight-line equations and interpret graph features in real data contexts.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Plot and read coordinates across quadrants, including points from geometric diagrams.
  • Find midpoint, gradient or straight-line equations from coordinates or graph features.
  • Use plotted curves, tangents or intersections to estimate solutions and gradients.

Covered syllabus points

3.3.A Interpreting linear and non-linear graphs3.3.B Cartesian coordinate conventions3.3.C Points (x, y) in any of the four quadrants or locate3.3.D The coordinates of points identified by geometrical3.3.E Midpoint coordinates3.3.F Straight-line conversion graphs3.3.G Gradient of a straight line3.3.H Straight-line graphs in the form y = mx + c3.3.I Linear and quadratic function graphs3.3.HA Polynomial, reciprocal and trigonometric graphs3.3.HB Transformations of graphs3.3.HC Analysing transformations of functions3.3.HD The gradients of non-linear graphs By drawing a tangent3.3.HE Intersections of linear and non-linear graphs3.3.HF Gradient from two points3.3.HG Parallel and perpendicular line equations

Question 1

[Maximum number: 3]

Jalina left her home at 1000 to cycle to a park.
On her way to the park, she stopped at a friend's house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.

Figure for Question 1 — Edexcel IGCSE Math A Higher

Question (a)

(a)

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend's house?
Give a reason for your answer.

Jalina stayed at the park for 45 minutes.
She then cycled, without stopping, at a constant speed of 16 km/h16 \mathrm{~km} / \mathrm{h} from the park back to her home.

[ 1 ]

Question (b)

(b)

Show all this information on the distance-time graph.

[ 2 ]

Question 2

[Maximum number: 1]

Use your answer to part (a) to write down the coordinates of A
(...

Question 3

[Maximum number: 6]

25 A B C D is a trapezium with AB parallel to DC
A is the point with coordinates (-4,6)
B is the point with coordinates (2,3)
D is the point with coordinates (-1,8)
The trapezium has one line of symmetry.
The line of symmetry intersects CD at the point E
Work out the coordinates of the point E

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