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.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 2.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
- 3.The point A lies on the x-axis. Which statement about A must be true?
- 4.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 5.Work out the distance of the point (−6, 4) from the x-axis.
- 6.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 7.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.
- 8.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 9.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 10.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 11.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.
- 12.The point A is at (5, −3). In which quadrant does A lie?
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.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.
- 15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
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