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 point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 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 square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 4.The point A lies on the x-axis. Which statement about A must be true?
- 5.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.
- 6.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 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.In which quadrant does the point (−3, 0.5) lie?
- 9.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 10.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 11.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 12.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.
- 13.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 14.Which of these points lies in the first quadrant?
- 15.Work out the coordinates of the reflection of (6, −3) in the y-axis.
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