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.Which of these points lies in the first quadrant?
- 2.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.
- 3.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 4.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.Work out the distance of the point (−6, 4) from the x-axis.
- 7.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 8.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 9.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 10.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 11.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 14.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 15.Work out the coordinates of the reflection of (6, −3) in the y-axis.
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