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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-NU3-0011 markL1 FoundationCalculatorIndices

Evaluate

2^5\times2^3\div2^4

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0061 markL1 FoundationCalculatorStandard form

0.000\,47

written in standard form is

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0082 marksL1 FoundationNon-calculatorIndices

Evaluate

5^0+4^{-1}

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0091 markL1 FoundationNon-calculatorIndices

Evaluate

\dfrac{(2^3)^2}{2^4}

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0101 markL1 FoundationNon-calculatorStandard form

34\,000\,000=3.4\times10^n

. Find

n

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU-Q021 markL1 FoundationCalculatorStandard form

3.6\times10^{-3}=

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU-0022 marksL2 StandardNon-calculatorIndices

Evaluate (a)

27^{\frac23}

(b)

16^{-\frac12}

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU-0032 marksL2 StandardNon-calculatorStandard form

Calculate

(6\times10^5)\times(4\times10^{-2})

. Give your answer as an ordinary number.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0022 marksL2 StandardCalculatorStandard form

Work out

(5.2\times10^4)\div(1.3\times10^{-2})

. Give your answer as an ordinary number.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0032 marksL2 StandardCalculatorIndices

Evaluate

81^{\frac34}

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0112 marksL2 StandardNon-calculatorStandard form

(3\times10^4)\times(5\times10^3)=1.5\times10^n

. Find

n

.

Salam Academy Original Practice · Proposed mark scheme

SA-4024-NU3-0122 marksL3 ExamNon-calculatorIndices

Solve

2^x=\dfrac18

.

Salam Academy Original Practice · Proposed mark scheme