Coordinates: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

13 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Read the revision guide

Next in this strand

Revision Library

revisionlibrary.co.uk

GCSE · Coordinates

1.12DB Coordinates: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

The diagram shows a coordinate grid. Point J is marked with a cross. Write down the coordinates of point J.

Figure (to be drawn): A coordinate grid with the x-axis and y-axis both numbered from -6 to 6, gridlines at every integer. A bold cross labelled J is plotted at the point 4 units to the right of the y-axis and 3 units below the x-axis, i.e. at (4, -3). NOT accurately drawn.

(Total for Question 1 is 1 mark)

Point K lies on the x-axis, 5 units to the left of the origin. Write down the coordinates of K.

(Total for Question 2 is 1 mark)

The point (0, -6) lies on one of the axes. State which axis it lies on.

(Total for Question 3 is 1 mark)

The table shows the coordinates of four points on a grid.

Point	x	y
E	-4	3
F	5	3
G	2	-5
H	-1	-2

Write down the letter of the point that lies in the third quadrant, and state its coordinates.

(Total for Question 4 is 2 marks)

On a scale map of a park (1 unit = 100 m), the tutoring centre is at (2, 6) and the cafe is at (10, 2). A bench is to be placed at the midpoint of the straight path joining them. Work out the coordinates of the bench.

(Total for Question 5 is 2 marks)

The midpoint of the line segment AB is (3, -1). Point A is at (-2, 4). Find the coordinates of point B.

(Total for Question 6 is 3 marks)

The point M(-3, k) lies directly above the point N(-3, -2). The distance MN is 9 units. Work out the value of k.

(Total for Question 7 is 2 marks)

Ffion is asked to find the midpoint of P(-5, 2) and Q(3, 8). Her working is shown below:

midpoint = ((3 - (-5)) / 2, (8 - 2) / 2) = (4, 3)

Ffion's answer is incorrect. Identify her mistake, then work out the correct midpoint.

(Total for Question 8 is 3 marks)

Point A is at (-3, 5) and point B is at (4, -2). Find the column vector that translates point A onto point B.

(Total for Question 9 is 2 marks)

Triangle ABC has vertices A(-4, 1), B(2, 1) and C(-4, 6).

(a)Work out the length of AB.(1)

(b)Work out the length of AC.(1)

(c)Given that angle BAC is a right angle, work out the area of triangle ABC.(2)

(Total for Question 10 is 4 marks)

A school marks out a square flower bed on a coordinate grid, where 1 unit represents 1 metre. Three of its corners are at A(-3, -3), B(2, -3) and C(2, 2). Find the coordinates of the fourth corner D, and work out the perimeter of the flower bed.

(Total for Question 11 is 3 marks)

A quadrilateral PQRS has vertices P(-2, -1), Q(4, 1), R(6, 5) and S(0, 3). Show that PQRS is a parallelogram by showing that its diagonals PR and QS have the same midpoint.

(Total for Question 12 is 4 marks)

E(1, 2), F(5, 3) and G(7, 7) are three vertices of parallelogram EFGH, given in order round the shape. The diagonals of a parallelogram bisect each other. Find the coordinates of the fourth vertex H.

(Total for Question 13 is 3 marks)

Mark scheme · 1.12DB Coordinates: Fluency and Exam Drill (Part 2)

Question 1

B1 (4, -3) cao
Answer: (4, -3)

Question 2

B1 (-5, 0) cao
Answer: (-5, 0)

Question 3

B1 y-axis oe
Answer: y-axis

Question 4

B1 H
B1 (-1, -2) cao
Answer: H, (-1, -2)

Question 5

M1 ((2+10)/2, (6+2)/2) shown
A1 (6, 4) cao
Answer: (6, 4)

Question 6

M1 set up 3 = (-2 + x)/2, or double the midpoint x-coordinate and subtract A's x-coordinate, shown
M1 set up -1 = (4 + y)/2, or double the midpoint y-coordinate and subtract A's y-coordinate, shown
A1 (8, -6) cao
Answer: (8, -6)

Question 7

M1 set up k - (-2) = 9 or equivalent equation for k, shown
A1 7 cao
Answer: 7

Question 8

B1 identifies that Ffion has subtracted the coordinates (found half the difference between them) instead of adding them and dividing by 2 oe
M1 correct method: ((-5+3)/2, (2+8)/2) shown
A1 (-1, 5) cao
Answer: Ffion subtracted the coordinates and halved the difference instead of adding them and halving; correct midpoint = (-1, 5)

Question 9

M1 subtract coordinates: (4 - (-3), -2 - 5) shown
A1 (7, -7) cao
Answer: (7, -7)

Question 10

(a) B1 6 cao
(a) Answer: 6
(b) B1 5 cao
(b) Answer: 5
(c) M1 0.5 x 6 x 5 shown, using AB and AC as the base and height
(c) A1 15 (square units) cao
(c) Answer: 15 square units

Question 11

M1 recognise D has x-coordinate -3 (same as A) and y-coordinate 2 (same as C), or use vector method
A1 D = (-3, 2) cao
B1 perimeter = 4 x 5 = 20 m ft their side length
Answer: D = (-3, 2); perimeter = 20 m

Question 12

M1 midpoint of PR: ((-2+6)/2, (-1+5)/2) shown
M1 midpoint of QS: ((4+0)/2, (1+3)/2) shown
A1 both midpoints = (2, 2) cso
C1 correct conclusion: since the diagonals share the same midpoint they bisect each other, so PQRS is a parallelogram
Answer: (2, 2); both diagonals share this midpoint, so PQRS is a parallelogram

Question 13

M1 midpoint of diagonal EG: ((1+7)/2, (2+7)/2) = (4, 4.5) shown
M1 use midpoint of FH equal to midpoint of EG to set up an equation for H, e.g. (5+x)/2 = 4 and (3+y)/2 = 4.5, shown
A1 (3, 6) cao
Answer: (3, 6)

Question 1

1 mark

Your answer

Question 2

1 mark

Your answer

Question 3

1 mark

Your answer

Question 4

2 marks

Your answer

Question 5

2 marks

Your answer

Question 6

3 marks

Your answer

Question 7

2 marks

Your answer

Question 8

3 marks

Did your answer earn the marks?

Question 9

2 marks

Your answer

Question 10

4 marks

Did your answer earn the marks?

Question 11

3 marks

Did your answer earn the marks?

Question 12

4 marks

Did your answer earn the marks?

Question 13

3 marks

Your answer

Mark my answers

Coordinates: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

More on this topic

Next in this strand

1.12DB Coordinates: Fluency and Exam Drill (Part 2)

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Mark your answers

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13