Coordinate Geometry (Edexcel GCSE Maths: Foundation)

Exam Questions

43 mins19 questions
1a
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1 mark

Here is a centimetre grid.

Coordinate grid with x and y axes going from -6 to +6, point A marked on grid

Write down the coordinates of point A.

1b
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1 mark

On the grid, mark with a cross open parentheses cross times close parentheses the point with coordinates open parentheses 5 comma space minus 2 close parentheses
Label this point B.

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2
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1 mark

Points A and B are marked on the grid below.

Coordinate grid with point A at (-3, -2) and point B at (1, 6)

Write down the coordinates of the midpoint of A B.

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3a
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1 mark

Grid with point A marked at (-3, 5)

On the grid, mark with a cross open parentheses cross times close parentheses the point open parentheses 1 comma space minus 3 close parentheses
Label the point B.

3b
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2 marks

Write down the gradient of the line that passes through the points A and B.

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4
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2 marks

qp23-0580-12-paper-1-may-2020-cie-igcse-maths

Find the gradient of linespace L.

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5a
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1 mark

The diagram shows a point P and a line L.

q22-058011-mayjune2019-cie-igcse-maths-core

Write down the co-ordinates of point P.

5b
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2 marks

Find the gradient of line L.

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1
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3 marks

A is the point with coordinates open parentheses 3 comma space 5 close parentheses.
B is the point with coordinates open parentheses d comma space 13 close parentheses.

The gradient of the line A B is 2.

Work out the value of d.

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2
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2 marks

The point A has coordinates (2, 3).
The point B has coordinates (6, 8).

M is the midpoint of the line A B.
Find the coordinates of M.

q1-easy-2-15-cordinate-geometry-edexcel-gcse-maths

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3
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2 marks

Point A has coordinates (5, 8)
Point B has coordinates (9, –4)

Work out the gradient of A B.

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4a
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2 marks

The point A has coordinates (5, −4)
The point B has coordinates (13, 1)

Work out the coordinates of the midpoint of A B.

4b
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1 mark

Line bold L has equation y space equals space 2 space minus space 3 x

Write down the gradient of line bold L.

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5
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1 mark

A is (2, 13) and B is (10, 1)

Circle the midpoint of A B.

(4, 6) (5, 6.5) (6, 7) (8, 12)

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6
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1 mark

P is (4, 9) and Q is (–2, 1)
Circle the midpoint of P Q.

(1, 5) (3, 4) (3, 5) (6, 8)

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7
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2 marks

Work out the gradient of the straight line through (–2, 3) and (1, 9)

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1
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4 marks

The coordinates AB and C are such that A B C is a straight line.

The coordinates of A are open parentheses 2 comma space minus 6 close parentheses

The coordinates of C are open parentheses 18 comma space 2 close parentheses

Given that A B colon B C equals 3 colon 5, find the coordinates of B.

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2
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2 marks

Find the gradient of the straight line with equation  5 x plus 2 y equals 7.

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3
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2 marks

The diagram shows an octagon

q9-paper-1h-nov-2021-aqa-gcse-maths

x space equals space 1 spaceand y space equals space 5 are lines of symmetry.

Work out the coordinates of point Q.

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4a
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1 mark

A straight line is drawn on the centimetre grid.

q12-paper-2h-june-2018-aqa-gcse-maths

Fay assumes that the scale is 1 cm represents 1 unit.

Use her assumption to work out the gradient of the line.

4b
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1 mark

In fact, the scale is 1 cm represents 2 units.

Which statement is correct?
Tick one box.

square      The answer to part (a) is too big

size 26px square        The answer to part (a) stays the same

size 26px square        The answer to part (a) is too small

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5a
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2 marks

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A is the point (—1, 2)
B is the point (7, 5)

Find the coordinates of the midpoint of A B.

5b
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2 marks

P is the point (—4, 4)
Q is the point (1, —5)

Find the gradient of P Q.

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6
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2 marks

q2-medium-2-15-cordinate-geometry-edexcel-gcse-maths

Point P has coordinates (5, 7).
Point M has coordinates (1, 2.5).

Point M is the midpoint of the line P Q.

Find the coordinates of point Q.

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7
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2 marks

Point A has coordinates left parenthesis – 3 comma space 11 right parenthesis
Point B has coordinates left parenthesis 47 comma space b right parenthesis
The midpoint of A B has coordinates left parenthesis a comma space – 19 right parenthesis

Find the value of a and the value of b.

a = ................................................     
b = ................................................     

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