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.The point A lies on the x-axis. Which statement about A must be true?
- 2.Which of these points lies in the first quadrant?
- 3.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 4.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.
- 5.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 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 C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 9.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 10.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 11.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 12.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 13.Work out the distance of the point (−6, 4) from the x-axis.
- 14.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.
- 15.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
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