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.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 2.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 3.The point B has coordinates (−2, −2). In which quadrant is B?
- 4.In which quadrant does the point (−3, 0.5) lie?
- 5.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.
- 6.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 7.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 8.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 9.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 11.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 12.Work out the distance of the point (−6, 4) from the x-axis.
- 13.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 14.The point A lies on the x-axis. Which statement about A must be true?
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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