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.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 2.The point A lies on the x-axis. Which statement about A must be true?
- 3.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 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 A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 6.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 7.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 8.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.
- 9.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 10.In which quadrant does the point (−3, 0.5) lie?
- 11.Which of these points lies in the first quadrant?
- 12.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 13.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 14.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.
- 15.The point B has coordinates (−2, −2). In which quadrant is B?
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