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
MathsUKwww.geekhero.co.uk
- 1.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 2.Work out the distance of the point (−6, 4) from the x-axis.
- 3.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
- 4.Which of these points lies in the first quadrant?
- 5.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 6.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.
- 7.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.
- 8.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 9.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 10.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.
- 11.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 14.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
- 15.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
Build your own mix at the worksheet builder.