◈ Oracle PrepSign Up Free
O-LevelMathematicsVectors and transformations4024/11 · Oct/Nov 2016 · Q194 Marks

The diagram shows the points O and R and the vectors a and b. [Figure 19.1]

  1. (a)Given that O𝑃⃗ = 2a, mark and label the position of P on the grid.[1]
  2. (b)Given that O𝑄⃗ = 2b – a, mark and label the position of Q on the grid.[1]
  3. (c)Express O𝑅⃗ in terms of a and b.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.

  1. [1] (a) the point P marked correctly
  2. [1] (b) the point Q marked correctly
  3. [2] (c) -a - 2b oe
  4. C1 for -a; or for – 2b

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2016 Paper 1 Variant 1, question 19.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Mathematics questions

Vectors and transformationsMay/June 20151m

Given matrix A = [3 -2; p -1]. The determinant of A is 2. Find p.

Vectors and transformationsMay/June 20151m

Given matrix A = [3 -2; p -1] and the determinant of A is 2. Find A^-1.

Vectors and transformationsMay/June 20169m

A = ((4 -1), (1 3)) B = ((2 0), (7 -5))

Algebra and graphsMay/June 20214m

This is the term-to-term rule for a sequence. Multiply by 2 and add 3 The first three terms in this sequence are 1, 5…

Algebra and graphsMay/June 20213m

Solve the simultaneous equations. Show your working. x+6y = 0 3x-2y = 10

Algebra and graphsMay/June 20212m

y is proportional to (x−1)². Given that y = 18 when x = 4, find y when x = 6.

← Browse all past-paper questions

© 2026 Oracle Prep