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Grade 2 · Foundation · free GCSE maths worksheet

Plotting coordinates in the first quadrant

Reading and plotting (x, y) points.

11 original questions, 26 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

O is the origin of a coordinate grid.

The point A is 4 units to the right of O and 2 units up from O.

The point B is 3 units to the left of O and 5 units up from O.

  1. Write down the coordinates of A.
  2. Write down the coordinates of B.
2 marks
Show answer
a) (4, 2) b) (-3, 5)
2

A point P is 3 squares across and 5 squares up from the origin O.

Write down the coordinates of P.

1 mark
Show answer
(3, 5)
3

A is the point with coordinates (2, 4).

B is the point with coordinates (8, 10).

Work out the coordinates of the midpoint of AB.

2 marks
Show answer
(5, 7)
4

Three corners of a rectangle are at (1, 1), (5, 1) and (5, 3).

Write down the coordinates of the fourth corner.

2 marks
Show answer
(1, 3)
5

Three corners of a square are at (2, 2), (2, 5) and (5, 5).

Write down the coordinates of the fourth corner.

2 marks
Show answer
(5, 2)
6

The point A is shown on the grid.

  1. Write down the coordinates of A.
  2. On the grid, plot the point B with coordinates (−2, 3).
  3. On the grid, plot the point C with coordinates (4, 0).
−5−4−3−2−112345−5−4−3−2−112345OxyA
3 marks
Show answer
a) (1, -3) b) point plotted at (-2, 3) c) point plotted at (4, 0)
7

Point A is at (3, 2). It is moved 4 squares to the right and 1 square up to point B.

Write down the coordinates of B.

2 marks
Show answer
(7, 3)
8

P is the point (2, 2) and Q is the point (6, 2).

Write down the coordinates of the midpoint of the line PQ.

2 marks
Show answer
(4, 2)
9
  1. The line x = 5 and the line y = −1 cross at the point P.
    Write down the coordinates of P.
  2. The line y = x and the line x = 3 cross at the point Q.
    Write down the coordinates of Q.
  3. Write down the coordinates of the point where the line y = 2 crosses the y-axis.
3 marks
Show answer
a) (5, -1) b) (3, 3) c) (0, 2)
10

Three vertices of a rectangle ABCD are A (1, 2), B (7, 2) and C (7, 6).

  1. Work out the coordinates of the vertex D.
  2. Work out the coordinates of the midpoint of the diagonal AC.
01234567801234567xyABC
3 marks
Show answer
a) (1, 6) b) (4, 4)
11

The points P and Q are shown on the grid.

  1. Write down the coordinates of P.
  2. Write down the coordinates of Q.
  3. Work out the coordinates of the midpoint of PQ.
  4. On the grid, draw the line y = −2.
−6−5−4−3−2−1123456−6−5−4−3−2−1123456OxyPQ
4 marks
Show answer
a) (-4, 1) b) (2, 5) c) (-1, 3) d) horizontal line drawn through y = -2

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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