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.In which quadrant does the point (−3, 0.5) lie?
- 2.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 3.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 4.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.Which of these points lies in the first quadrant?
- 7.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.
- 8.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.
- 9.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 10.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 14.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 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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