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.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.
- 3.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 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.The point B has coordinates (−2, −2). In which quadrant is B?
- 7.The point A is at (5, −3). In which quadrant does A lie?
- 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.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.
- 10.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 11.Which of these points lies in the first quadrant?
- 12.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 13.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 14.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 15.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
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