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 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.
- 2.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.
- 3.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 4.Which of these points lies in the first quadrant?
- 5.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 6.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 7.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 8.In which quadrant does the point (−3, 0.5) lie?
- 9.Work out the distance of the point (−6, 4) from the x-axis.
- 10.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 11.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 12.The point A lies on the x-axis. Which statement about A must be true?
- 13.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 14.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 15.The point B has coordinates (−2, −2). In which quadrant is B?
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