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