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.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 4.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 5.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.
- 6.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 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.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.
- 9.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 10.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.
- 11.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.
- 12.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 13.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 14.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 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.