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 line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
- 2.The point A is at (5, −3). In which quadrant does A lie?
- 3.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 4.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 5.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 6.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 7.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 8.The point B has coordinates (−2, −2). In which quadrant is B?
- 9.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 10.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 11.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.
- 12.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 13.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.
- 14.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 15.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
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