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.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 2.Which of these points lies in the first quadrant?
- 3.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.
- 4.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 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.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 7.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 8.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 9.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 10.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 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.Work out the distance of the point (−6, 4) from the x-axis.
- 13.The point B has coordinates (−2, −2). In which quadrant is B?
- 14.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 15.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
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