Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-VM-0012 marksL1 FoundationCalculatorMagnitude & direction

A particle moves with velocity

(3\mathbf i+4\mathbf j)\ \text{m s}^{-1}

. Find the angle between its direction of motion and

\mathbf i

, in degrees to 1 decimal place.

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SA-VM1-0011 markL1 FoundationNon-calculatorMagnitude & direction

Find the magnitude of

(-8\mathbf i+6\mathbf j)

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SA-VM1-0032 marksL1 FoundationNon-calculatorVector forces

Forces

(3\mathbf i+\mathbf j)

(-\mathbf i+4\mathbf j)

N and

(2\mathbf i-2\mathbf j)

N act on a particle. The resultant is

(p\mathbf i+q\mathbf j)

N. Find

p

and

q

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SA-VM1-0061 markL1 FoundationCalculatorVector forces

Which vector is parallel to

(2\mathbf i-3\mathbf j)

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SA-VM-G011 markL1 FoundationCalculatorMagnitude & direction

Find the magnitude of

5\mathbf i-12\mathbf j

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SA-VM-0023 marksL2 StandardCalculatorVector forces

Forces

(2\mathbf i+3\mathbf j)

N and

(4\mathbf i-7\mathbf j)

N act on a particle. Find the magnitude of the resultant, to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-VM-0053 marksL2 StandardCalculatorVector forces

Forces

(4\mathbf i-2\mathbf j)

N and

(2\mathbf i+10\mathbf j)

N act on a particle of mass

2

kg. Find the magnitude of its acceleration.

Salam Academy Original Practice · Proposed mark scheme

SA-VM-0072 marksL2 StandardCalculatorVector forces

The force

(p\mathbf i+3\mathbf j)

N is parallel to the vector

2\mathbf i+\mathbf j

. Find

p

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SA-VM-0095 marksL2 StandardCalculatorVector forces

Two forces

(3\mathbf i+5\mathbf j)

N and

(5\mathbf i-11\mathbf j)

N act on a particle of mass

2

kg. Find (i) the magnitude of the acceleration and (ii) the angle the acceleration makes with

\mathbf i

, in degrees to 1 decimal place.

Salam Academy Original Practice · Proposed mark scheme

SA-VM1-0022 marksL2 StandardCalculatorMagnitude & direction

Find the angle between the vector

(2\mathbf i+5\mathbf j)

and

\mathbf i

, in degrees to 1 decimal place.

Salam Academy Original Practice · Proposed mark scheme

SA-VM1-0042 marksL2 StandardNon-calculatorVector forces

A particle of mass

4

kg has acceleration

(2\mathbf i-\mathbf j)

m s⁻². Find the resultant force

(p\mathbf i+q\mathbf j)

N acting on it.

Salam Academy Original Practice · Proposed mark scheme

SA-VM1-0053 marksL2 StandardNon-calculatorVector forces

Forces

(2\mathbf i+a\mathbf j)

N and

(b\mathbf i-3\mathbf j)

N are in equilibrium with a third force

(5\mathbf i+\mathbf j)

N. Find

a

and

b

Salam Academy Original Practice · Proposed mark scheme