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 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.
- 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.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 4.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 5.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 6.The point A lies on the x-axis. Which statement about A must be true?
- 7.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 8.Which of these points lies in the first quadrant?
- 9.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 10.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 11.The point B has coordinates (−2, −2). In which quadrant is B?
- 12.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 13.In which quadrant does the point (−3, 0.5) lie?
- 14.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 15.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.
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