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
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- 1.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 2.A triangle has vertices A(0, 0), B(10, 0) and C(5, 12). Work out the area of the triangle.
- 3.State whether the line segment joining A(−4, 3) and B(2, 6) is horizontal, vertical or neither, and give a reason for your answer.
- 4.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.
- 5.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 6.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 7.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 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.P is the point (3, 4) and Q is the point (6, 0). Work out the distance of each point from the origin, and write down which point is closer to the origin.
- 10.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 11.Work out the gradient of the line segment joining A(2, 3) and B(6, 11).
- 12.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 13.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 14.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?
- 15.Line 1 passes through (0, 1) and (2, 5). Line 2 passes through (3, 2) and (5, 6). Work out the gradient of each line. Then write down whether the two lines are parallel.
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