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.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 2.Which of these points lies in the first quadrant?
- 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 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.
- 5.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 6.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 7.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 8.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 9.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 10.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 11.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 12.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 13.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 14.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.
- 15.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
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