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.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 2.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 3.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 4.Which of these points lies in the first quadrant?
- 5.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 6.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.
- 7.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.
- 8.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.
- 9.In which quadrant does the point (−3, 0.5) lie?
- 10.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 11.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 12.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 13.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 14.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
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