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 A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 2.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.
- 3.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.The point B has coordinates (−2, −2). In which quadrant is B?
- 6.In which quadrant does the point (−3, 0.5) lie?
- 7.The point A is at (5, −3). In which quadrant does A lie?
- 8.Which of these points lies in the first quadrant?
- 9.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 10.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 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 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.Work out the distance of the point (−6, 4) from the x-axis.
- 14.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 15.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
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