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