Question 1
The point P has coordinates (3,4)
The point Q has coordinates (9,16)
M is the midpoint of the line PQ
Find the coordinates of M
(, )
IGCSE Math a 3.3 Graphs Topic Practice
3.3 Graphs
Edexcel IGCSE Math a 3.3 Graphs question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.
EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.
- 3.3.A Information presented in a range of linear and
- 3.3.B And
- 3.3.C Points (x, y) in any of the four quadrants or locate
- 3.3.D The coordinates of points identified by geometrical
- 3.3.E The coordinates of the midpoint of a line segment,
- 3.3.F And interpret straight line conversion graphs
- 3.3.G The gradient of a straight line gradient = (increase in
- 3.3.H That equations of the form y = mx + c are straight line
- 3.3.I Recognise, generate points and plot graphs of linear
- 3.3.HA Recognise, plot and draw graphs with equation: 32y Ax
- 3.3.HB To the graph of y = f(x) the transformations y = f(x) +
- 3.3.HC And analyse transformations of functions and write the
- 3.3.HD The gradients of non-linear graphs By drawing a tangent
- 3.3.HE The intersection points of two graphs, one linear 1()y
- 3.3.HF The gradient of a straight line given the coordinates
- 3.3.HG The equation of a straight line parallel to a given line
Question 1
[Maximum number: 3]
The point A has coordinates (5,-4)
The point B has coordinates (13,1)
Question 1(a)
(a)
Work out the coordinates of the midpoint of AB.
(, )
Line L has equation y=2-3 x
[ 2 ]
Question 1(b)
(b)
Write down the gradient of line L.
Line L has equation y=2-3 x
[ 1 ]
Question 1(c)
(c)
Does the point with coordinates (100,-302) lie on line L ?
You must give a reason for your answer.
Question 2
[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.
Question 2(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 from the park back to her home.
[ 1 ]
Question 2(b)
(b)
Show all this information on the distance-time graph.
[ 2 ]
Question 2
Question 2(a)
(a)
On the grid, draw the straight line with equation
[ 3 ]
Question 2(a)(i)
(i)
y=2
Question 2(a)(ii)
(ii)
x=6
Question 2(a)(iii)
(iii)
y=x+1
Label each line with its equation.
Question 2(a)
[Maximum number: 3]
On the grid, draw and label with its equation the straight line with equation
(3)
Question 3
Question 3(a)
(a)
Complete the table of values for
[ 2 ]
Question 3(b)
(b)
On the grid, draw the graph of for values of x from -1 to 6
[ 2 ]
Question 2
[Maximum number: 3]
The diagram shows three points, A, B and C, on a grid.
Question 2(a)
(a)
Write down the coordinates of
[ 2 ]
Question 2(a)(i)
(i)
point A
(, )
Question 2(a)(ii)
(ii)
point B
(, )
D is the point such that ABCD is a rhombus.
Question 2(b)
(b)
On the grid, mark with a cross ( × ) the point D
Label this point D
[ 1 ]
Question 2(c)
(c)
Find the coordinates of the midpoint of AB
(, )
[ 2 ]
Question 2(d)
[Maximum number: 1]
Here are a quadrilateral and a triangle drawn on a grid of centimetre squares.
On the grid, mark with a cross the position of H.
Label this point H.
Question 4
[Maximum number: 4]
Question 4(a)
(a)
On the grid, draw and label the straight line with equation
[ 3 ]
Question 4(a)(i)
(i)
Question 4(a)(ii)
(ii)
Question 4(a)(iii)
(iii)
Question 4
Question 4(a)
(a)
Complete the table of values for
[ 2 ]
Question 4(b)
(b)
On the grid, draw the graph of for values of x from -2 to 4
[ 2 ]