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 reflection of (6, −3) in the y-axis.
- 2.The point A lies on the x-axis. Which statement about A must be true?
- 3.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 4.The point B has coordinates (−2, −2). In which quadrant is B?
- 5.The point A is at (5, −3). In which quadrant does A lie?
- 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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 8.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 9.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 12.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.
- 13.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 14.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 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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