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.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 2.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 3.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.In which quadrant does the point (−3, 0.5) lie?
- 6.Work out the distance of the point (−6, 4) from the x-axis.
- 7.The point B has coordinates (−2, −2). In which quadrant is B?
- 8.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 9.The point A is at (5, −3). In which quadrant does A lie?
- 10.Which of these points lies in the first quadrant?
- 11.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 14.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 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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