Printable · GCSE Foundation · ages 14-16
Translations as vectors worksheet — GCSE Foundation
Fifteen questions on "translations as vectors" — DfE statement G24. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Translations as vectors worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Vector A is and vector B is . Write down how vector B compares to vector A.
- 2.A crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
- 3.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 4.Quadrilateral ABCD has vertices A(1, 1), B(5, 1), C(5, 4) and D(1, 4). The quadrilateral is translated by the vector . Which of these points is NOT a vertex of the image?
- 5.A shape is translated by the vector , and one vertex of the image is at the point (1, 6). The original shape is instead translated by the vector . Work out the coordinates of the image of that same vertex under this second translation.
- 6.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 7.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 8.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 9.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 10.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 11.The column vector describes a translation. Write down the movement it represents.
- 12.A ship's radar shows a lighthouse at the point (12, −4) on a grid measured in nautical miles. The ship is at (2, 5). The ship sails along the vector that takes it directly to the lighthouse, then sails along that same vector again. Work out the ship's final position.
- 13.A drone starts at the point (2, −3) on a coordinate grid. It flies by the vector and then by the vector . Write down the column vector that would take the drone straight back to its starting point.
- 14.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 15.Write down the column vector, from the options given, that would move a point to the right and downwards.
Build your own mix at the worksheet builder.