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.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 3.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 4.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 5.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 6.Which of these points lies in the first quadrant?
- 7.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
- 8.Work out the distance of the point (−6, 4) from the x-axis.
- 9.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 10.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 11.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
- 12.In which quadrant does the point (−3, 0.5) lie?
- 13.The point A lies on the x-axis. Which statement about A must be true?
- 14.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 15.The point A is at (5, −3). In which quadrant does A lie?
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