Printable · GCSE Foundation · ages 14-16
Geometrical problems on coordinate axes worksheet — GCSE Foundation
Fifteen questions on "geometrical problems on coordinate axes" — DfE statement G11. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Geometrical problems on coordinate axes worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Work out the distance between the points (−3, 4) and (5, −2).
- 2.A(1, 2), B(5, 2) and C(5, 6) are three of the four vertices of a square ABCD. Work out the coordinates of D.
- 3.Work out the distance between the point (0, 0) and the point (5, 12).
- 4.A radar station is at the origin of a grid, where each unit represents 1 km. A boat is detected at the point (7, 24). Work out the boat's distance from the station, then work out how many hours it will take the boat to reach the station travelling directly towards it at 5 km per hour.
- 5.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 6.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 7.A rectangle has vertices A(1, 1), B(4, 1), C(4, 5) and D(1, 5). Work out the perimeter of the rectangle.
- 8.A path goes from A(1, 1) to B(1, 5), then from B to C(6, 5). Work out the total length of the path from A to C.
- 9.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 10.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 11.A triangle has vertices A(0, 0), B(10, 0) and C(5, 12). Work out the area of the triangle.
- 12.A triangle has vertices A(1, 1), B(5, 1) and C(5, 4). Work out the lengths of AB, BC and CA, and write down whether triangle ABC is right-angled.
- 13.A vertical line passes through the point (5, 2). Write down the equation of this line.
- 14.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 15.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
Build your own mix at the worksheet builder.