Describing translations as vectors: GCSE Maths Practice
Vectors
Describing translations as vectors
10 self-marking GCSE practice questions on Describing translations as vectors, written specifically for AQA, Pearson, OCR across Foundation and Higher tier. Instant marking with full worked solutions on every question.
Sample Describing translations as vectors questions
A few of the 10 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.
Question 12 marksGrade 3-4
Point A has coordinates (0,−6). Point A is translated to point A′
What are the common mistakes in Describing translations as vectors?
When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.
Swaps the x and y components of a coordinate or vector
Wrote the y-component (-1) in the top position and the x-component (4) in the bottom position, swapping the order of the column vector
Gives only the first of two combined translations as the final answer
Wrote the first translation, P to Q (-7, -8), instead of continuing on to find the overall translation from P to R
Gives only the second of two combined translations as the final answer
Wrote the second translation, Q to R (-2, 5), instead of combining both steps to find the overall translation from P to R
Quick answers about Describing translations as vectors
How many Describing translations as vectors practice questions are there?
There are 10 self-marking GCSE Maths questions on Describing translations as vectors, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.
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No. You can start practising Describing translations as vectors straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.
with coordinates
(8,2)
.
Write the translation from
A
to
A′
as a column vector.
Show the worked solution
The x-coordinate changes from 0 to 8, a change of 8. M1
The y-coordinate changes from -6 to 2, a change of 8.
So the translation is (88). A1
Question 22 marksGrade 5-6
Point P has coordinates (2,−8).
A translation maps P to Q, where Q has coordinates (3,1).
A second translation then maps Q to R, where R has coordinates (12,−3).
Write the single column vector that describes the overall translation from P directly to R.
Show the worked solution
The overall translation from P to R only depends on the start point P(2,−8) and the end point R(12,−3) - the intermediate point Q
Question 34 marksGrade 5-6
Point A has coordinates (-4, 1). Point A is translated to point A′ with coordinates (-1, 5).
a) Write the translation from A to A′ as a column vector.
b) Work out the exact distance from A to A′.