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.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 3.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 4.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 5.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 6.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 7.The point A lies on the x-axis. Which statement about A must be true?
- 8.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 9.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 10.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 11.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 12.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 13.Which of these points lies in the first quadrant?
- 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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
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