Vector arithmetic

Sample Vector arithmetic questions

A few of the 23 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 4
   PQR is a straight line, with PQ : QR = 3 : 1. $\overrightarrow{PQ} = \mathbf{a}$. Which is the vector $\overrightarrow{RQ}$

What are the common mistakes in Vector arithmetic?

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.

• Multiplies only one component of a vector by the scalar instead of both

  Applied the scalars -2 and -3 to the top components only, then just added the untouched bottom components (-5 + -1 = -6) instead of scaling both

• Mishandles a sign when adding or subtracting scaled vectors

  Scaled each vector correctly but subtracted the second scaled vector instead of adding it, giving -1 for the top component instead of 5

• Applies an operation (e.g. scaling) to only one component of a vector instead of both

  Combined the top components correctly but left the bottom component as -2 (from vector a alone), not applying the operation to both components

Quick answers about Vector arithmetic

How many Vector arithmetic practice questions are there?

There are 23 self-marking GCSE and IGCSE Maths questions on Vector arithmetic, written for AQA, Pearson, OCR, Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Vector arithmetic?

No. You can start practising Vector arithmetic straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.