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.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 2.The point A is at (5, −3). In which quadrant does A lie?
- 3.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.
- 4.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 5.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 6.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 7.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.
- 8.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 9.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 10.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 11.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 12.Which of these points lies in the first quadrant?
- 13.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 14.The point A lies on the x-axis. Which statement about A must be true?
- 15.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
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