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Edexcel IGCSE Math A Foundation 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
Foundation

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 graphs

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 Foundation

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.

Work out the value of P when g=7 and h=-4

[ 1 ]

Question (b)

(b)

Show all this information on the distance-time graph.

Simplify e9÷e5e^{9} \div e^{5}

[ 2 ]

Question 2

[Maximum number: 3]

The diagram shows three points, A, B and C, marked on a grid.

Figure for Question 2 — Edexcel IGCSE Math A Foundation

Question (a)

(a)

Write down the coordinates of point A

[ 1 ]

Question (b)

(b)

Write down the coordinates of point B

[ 1 ]

Question (c)

(c)

M is the midpoint of the line AC

On the grid, mark with a cross (×) the point M
Label the point M

[ 1 ]

Question 3

[Maximum number: 3]
Figure for Question 3 — Edexcel IGCSE Math A Foundation

Question (a)

(a)

Write down the coordinates of point J,,

[ 1 ]

Question (b)

(b)

Write down the coordinates of point L.

[ 1 ]

Question (c)

(c)

On the grid, mark with a cross (×)(\times) the point M so that JKLM is a parallelogram. Label this point M

[ 1 ]

Question 4

[Maximum number: 1]
Figure for Question 4 — Edexcel IGCSE Math A Foundation

On the grid, mark with a cross (×)(\times) the point M so that JKLM is a parallelogram. Label this point M

Question 5

[Maximum number: 1]

The diagram shows three points, A, B and C, marked on a grid.

Figure for Question 5 — Edexcel IGCSE Math A Foundation

M is the midpoint of the line AC

On the grid, mark with a cross (×) the point M
Label the point M

Question 6

[Maximum number: 4]

The graph gives the number of litres of fuel a car uses and the distance, in kilometres, the car travels using that amount of fuel.

Figure for Question 6 — Edexcel IGCSE Math A Foundation

Question (a)

(a)

The car uses 10 litres of fuel.

Find the distance the car travels. km

[ 1 ]

Question (b)

(b)

The car travels a distance of 110 km .

Find the number of litres of fuel the car uses. litres

[ 1 ]

Question (c)

(c)

Agnetha drives the car.
The car uses 25 litres of fuel.

Work out the distance she drives.
km

[ 2 ]

Question 7

[Maximum number: 2]

Write down an equation of the straight line with gradient -3 and which passes through the point with coordinates (0,5)

Question 8

[Maximum number: 4]

Question (a)

(a)

Complete the table of values for y=x2−4x+3y=x^{2}-4 x+3

Table for Question (a) — Edexcel IGCSE Math A Foundation
[ 2 ]

Question (b)

(b)

On the grid, draw the graph of y=x2−4x+3y=x^{2}-4 x+3 for values of x from -2 to 4

Figure for Question (b) — Edexcel IGCSE Math A Foundation
[ 2 ]
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