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.
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Translations as vectors worksheet — GCSE Foundation
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- 1.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 2.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 3.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.
- 4.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 5.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 6.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 7.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 8.The column vector describes a translation. Write down the movement it represents.
- 9.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 10.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 11.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 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.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 14.A drone starts at the point (3.5, −2) on a grid measured in metres. It flies by the vector to check a first sensor. The drone then needs to fly in a straight line to reach the point (−1.7, 9) to check a second sensor. Work out the column vector of this second flight.
- 15.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
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