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 A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 2.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 3.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 4.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 5.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 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.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.The point A lies on the x-axis. Which statement about A must be true?
- 9.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 10.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 11.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.
- 12.The point A is at (5, −3). In which quadrant does A lie?
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.The point B has coordinates (−2, −2). In which quadrant is B?
- 15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
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