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 (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 2.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 3.The point A is at (5, −3). In which quadrant does A lie?
- 4.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 5.In which quadrant does the point (−3, 0.5) lie?
- 6.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 7.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 8.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 9.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 11.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 12.Work out the distance of the point (−6, 4) from the x-axis.
- 13.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 14.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.
- 15.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
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