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 square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 2.Which of these points lies in the first quadrant?
- 3.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.
- 4.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 5.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 6.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.
- 7.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 8.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 9.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 10.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 11.The point A lies on the x-axis. Which statement about A must be true?
- 12.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 13.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 14.The point B has coordinates (−2, −2). In which quadrant is B?
- 15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
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