Revision Library

revisionlibrary.co.uk

GCSE · Coordinates

1.12D Coordinates: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Point A is at the intersection of the vertical line x = -2 and the horizontal line y = 5. Write down the coordinates of A.

(Total for Question 1 is 1 mark)

Point B is 3 units to the right of the origin and 4 units below the origin. Give the coordinates of B.

(Total for Question 2 is 1 mark)

Which quadrant contains the point C with coordinates (-6, 2)?

(Total for Question 3 is 1 mark)

Find the midpoint of the line segment with endpoints A(2, -3) and B(6, 5).

(Total for Question 4 is 2 marks)

Find the midpoint of P(-7, -1) and Q(5, 3).

(Total for Question 5 is 2 marks)

Work out the length of the horizontal segment joining the points (-4, 2) and (3, 2).

(Total for Question 6 is 2 marks)

A rectangle has vertices at A(2, 1), B(6, 1) and C(6, 4). Find the coordinates of the fourth vertex D.

(Total for Question 7 is 3 marks)

Given points A(-1, 2), B(3, 5) and C(6, 1) are three consecutive vertices of a parallelogram ABCD in that order. Find the coordinates of D.

(Total for Question 8 is 3 marks)

Show that the midpoint of the diagonal AC is (1, 2) for the rectangle with vertices A(-3, 0), B(5, 0), C(5, 4) and D(-3, 4).

(Total for Question 9 is 3 marks)

Point P(-2, 3) is translated by the vector (5, -7). Find the coordinates of the image of P after the translation.

(Total for Question 10 is 3 marks)

Find the coordinates of D to complete the rectangle with vertices A(-2, 1), B(4, 1) and C(4, 6).

(Total for Question 11 is 3 marks)

A(1, 2), B(4, 5) and C(7, 2) are three vertices of a rectangle in that order. Find the coordinates of the fourth vertex D. Show your working.

(Total for Question 12 is 4 marks)

Mark scheme · 1.12D Coordinates: Fluency and Exam Drill

Question 1

B1 (-2, 5) cao
Answer: (-2, 5)

Question 2

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

Question 3

B1 Quadrant II or Q2 oe
Answer: Quadrant II

Question 4

M1 add x-coordinates and divide by 2, and add y-coordinates and divide by 2 (method shown)
A1 (4, 1) cao
Answer: (4, 1)

Question 5

M1 calculate midpoint: ((-7+5)/2, (-1+3)/2) shown
A1 (-1, 1) cao
Answer: (-1, 1)

Question 6

M1 find difference in x-coordinates: 3 - (-4) or equivalent
A1 7 cao
Answer: 7

Question 7

M1 recognise x-coordinate of D equals x of A (2) or use vector method
M1 recognise y-coordinate of D equals y of C (4)
A1 (2, 4) cao
Answer: (2, 4)

Question 8

M1 calculate vector BC = C - B = (3, -4) or show method
M1 apply vector to A: D = A + BC shown
A1 (2, -2) cao
Answer: (2, -2)

Question 9

M1 show x-midpoint: (-3 + 5)/2 = 1
M1 show y-midpoint: (0 + 4)/2 = 2
A1 (1, 2) cso
Answer: (1, 2)

Question 10

M1 add vector components: x: -2 + 5 shown
M1 add vector components: y: 3 + (-7) shown
A1 (3, -4) cao
Answer: (3, -4)

Question 11

M1 recognise x-coordinate of D equals x of A (-2) or vector method
M1 recognise y-coordinate of D equals y of C (6)
A1 (-2, 6) cao
Answer: (-2, 6)

Question 12

M1 calculate vector BC = C - B = (3, -3) or show equivalent method
M1 state D = A + BC or show applying vector to A
M1 compute coordinates: (1+3, 2+(-3)) shown
A1 (4, -1) cao
Answer: (4, -1)

Coordinates: Fluency and Exam Drill - Worksheets, Questions and Revision