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Practise

Question bank

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

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12 questions

SA-4024-TV-0012 marksL1 FoundationNon-calculatorMagnitude
Find the magnitude of (5−12)\dbinom{5}{-12}.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0012 marksL1 FoundationNon-calculatorVector arithmetic
a=(25)\mathbf a=\dbinom25 and b=(−13)\mathbf b=\dbinom{-1}3. Find a+b\mathbf a+\mathbf b.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0022 marksL1 FoundationNon-calculatorVector arithmetic
a=(25)\mathbf a=\dbinom25 and b=(−13)\mathbf b=\dbinom{-1}3. Find a−b\mathbf a-\mathbf b.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0042 marksL1 FoundationNon-calculatorMagnitude
Find the magnitude of (−68)\dbinom{-6}{8}.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0052 marksL1 FoundationCalculatorMagnitude
Find the magnitude of (25)\dbinom25, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0062 marksL1 FoundationNon-calculatorVector arithmetic
(x3)+(2−1)=(7y)\dbinom{x}{3}+\dbinom{2}{-1}=\dbinom{7}{y}. Find xx and yy.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0081 markL1 FoundationCalculatorMagnitude
Which vector has magnitude 55?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV-G012 marksL1 FoundationNon-calculatorVector arithmetic
a=(3−2)\mathbf a=\dbinom{3}{-2} and b=(−14)\mathbf b=\dbinom{-1}{4}. Find 2a+b2\mathbf a+\mathbf b.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV-Q031 markL1 FoundationCalculatorVector arithmetic
The vector −2a-2\mathbf a is
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV-0153 marksL2 StandardNon-calculatorMagnitude
AA is (1,2)(1,2) and BB is (4,6)(4,6). Find AB→\overrightarrow{AB} as a column vector, and its magnitude.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0032 marksL2 StandardNon-calculatorVector arithmetic
a=(1−2)\mathbf a=\dbinom1{-2} and b=(41)\mathbf b=\dbinom41. Find 3a−2b3\mathbf a-2\mathbf b.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TV3-0073 marksL2 StandardNon-calculatorMagnitude
AA is (−2,3)(-2,3) and BB is (4,−5)(4,-5). Find AB→\overrightarrow{AB} and ∣AB→∣|\overrightarrow{AB}|.

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Salam Academy Original Practice · Proposed mark scheme