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.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 2.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 3.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.
- 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.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 6.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.
- 7.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 8.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 9.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.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.
- 12.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 13.Which of these points lies in the first quadrant?
- 14.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 15.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
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