Printable · GCSE Higher · ages 14-16
Coordinates in all four quadrants worksheet — GCSE Higher
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 Higher
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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.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 3.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.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.
- 6.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 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.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 11.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 12.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
- 13.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 14.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 15.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.
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