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.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 2.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 3.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 4.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.
- 5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 6.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 7.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 8.Which of these points lies in the first quadrant?
- 9.In which quadrant does the point (−3, 0.5) lie?
- 10.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 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.Work out the distance of the point (−6, 4) from the x-axis.
- 13.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 14.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 15.The point A lies on the x-axis. Which statement about A must be true?
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