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.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 3.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.
- 4.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 5.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 6.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 7.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 8.The point A is at (5, −3). In which quadrant does A lie?
- 9.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 11.Which of these points lies in the first quadrant?
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 15.A point lies on the y-axis. What can be said about the x-coordinate of that point?
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