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.Which of these points lies in the first quadrant?
- 2.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.
- 3.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.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.
- 6.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 7.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 8.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 9.The point A is at (5, −3). In which quadrant does A lie?
- 10.Work out the distance of the point (−6, 4) from the x-axis.
- 11.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 12.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 13.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 14.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 15.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
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