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 A is at (5, −3). In which quadrant does A lie?
- 2.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 3.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 4.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.
- 5.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 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.The point A lies on the x-axis. Which statement about A must be true?
- 8.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 9.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 10.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 11.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.
- 12.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 13.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.
- 14.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 15.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
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