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.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.
- 2.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 3.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 4.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 5.Which of these points lies in the first quadrant?
- 6.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 7.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 8.In which quadrant does the point (−3, 0.5) lie?
- 9.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 10.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 11.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 12.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.
- 13.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 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 F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
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