Printable · GCSE Foundation · ages 14-16
Coordinates in all four quadrants worksheet — GCSE Foundation
Fifteen questions on "coordinates in all four quadrants" — DfE statement A8. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Coordinates in all four quadrants worksheet — GCSE Foundation
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- 1.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 2.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 3.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 4.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 5.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 6.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 7.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 8.Three vertices of a rectangle are (−4, −1), (2, −1) and (2, 3). The sides of the rectangle are parallel to the axes. Write down the coordinates of the fourth vertex.
- 9.Which of these points lies in the first quadrant?
- 10.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 11.Work out the distance of the point (−6, 4) from the x-axis.
- 12.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 13.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 14.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 15.A park is drawn on a grid in which 1 unit represents 1 km. The car park is at the point (0, 0) and the lake is at the point (3, 5). Work out the direct distance, in km, from the car park to the lake, giving your answer to 1 decimal place.
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