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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-NU3-0041 markL1 FoundationCalculatorSimplifying surds
48=k3\sqrt{48}=k\sqrt3. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0011 markL1 FoundationNon-calculatorSimplifying surds
50=k2\sqrt{50}=k\sqrt2. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0021 markL1 FoundationNon-calculatorSimplifying surds
Evaluate 3×12\sqrt3\times\sqrt{12}.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0042 marksL1 FoundationNon-calculatorRationalising
126=k6\dfrac{12}{\sqrt6}=k\sqrt6. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0061 markL1 FoundationCalculatorSimplifying surds
Which of these is irrational?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU-0042 marksL2 StandardNon-calculatorSimplifying surds
Simplify 72+50\sqrt{72}+\sqrt{50}, giving your answer in the form k2k\sqrt2. State kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU-0052 marksL2 StandardNon-calculatorRationalising
Rationalise the denominator of 63\dfrac{6}{\sqrt3}, giving your answer in its simplest form.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU3-0052 marksL2 StandardCalculatorSimplifying surds
Expand and simplify (2+3)(2−3)(2+\sqrt3)(2-\sqrt3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU3-0072 marksL2 StandardCalculatorRationalising
Rationalise the denominator of 105\dfrac{10}{\sqrt5}, giving your answer in its simplest form.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0032 marksL2 StandardNon-calculatorSimplifying surds
Expand (5+1)2(\sqrt5+1)^2 in the form a+b5a+b\sqrt5. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0052 marksL2 StandardNon-calculatorRationalising
13−1=a+b3\dfrac1{\sqrt3-1}=a+b\sqrt3. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU7-0073 marksL3 ExamNon-calculatorRationalising
43+5=a+b5\dfrac4{3+\sqrt5}=a+b\sqrt5. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme