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
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- 1.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 2.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 3.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 4.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 5.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 6.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 7.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 8.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 9.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.
- 10.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.
- 11.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?
- 12.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.
- 13.A shape is translated by the vector and then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 14.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 15.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
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