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