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.
Non-calculator
Translations as vectors worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 3.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 4.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.
- 5.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 6.The column vector describes a translation. Write down the movement it represents.
- 7.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?
- 8.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 9.A shape is translated by the vector . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
- 10.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 11.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 12.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 13.Vector A is and vector B is . Write down how vector B compares to vector A.
- 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.In a phone game, a character starts at the point (−5, 2) on a grid. It moves by the vector to collect a coin. The player now wants the character's next single move to finish at the point (3, 0). Write down the column vector of that second move.
Build your own mix at the worksheet builder.