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.The point B has coordinates (−2, −2). In which quadrant is B?
- 3.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 4.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.
- 5.The point A is at (5, −3). In which quadrant does A lie?
- 6.The point A lies on the x-axis. Which statement about A must be true?
- 7.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 8.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 9.Work out the distance of the point (−6, 4) from the x-axis.
- 10.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.
- 11.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 12.In which quadrant does the point (−3, 0.5) lie?
- 13.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 14.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 15.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.
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