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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-AL1-0071 markL1 FoundationCalculatorFormulae
Make hh the subject of V=πr2hV=\pi r^2h.
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0011 markL1 FoundationNon-calculatorFormulae
v=u+atv=u+at. Find vv when u=5u=5, a=3a=3 and t=4t=4.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0022 marksL1 FoundationNon-calculatorFormulae
Rearrange v=u+atv=u+at to make tt the subject. Hence find tt when v=20v=20, u=5u=5 and a=3a=3.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0041 markL1 FoundationNon-calculatorAlgebraic fractions
x3+x4=kx12\dfrac x3+\dfrac x4=\dfrac{kx}{12}. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0081 markL1 FoundationCalculatorAlgebraic fractions
Which of these can be simplified by cancelling?
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0071 markL2 StandardCalculatorFormulae
Make rr the subject of A=πr2+5A=\pi r^2+5.
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL1-0043 marksL2 StandardCalculatorFormulae
Make xx the subject of y=3x−25y=\dfrac{3x-2}{5}, and hence find xx when y=8y=8.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0052 marksL2 StandardNon-calculatorAlgebraic fractions
x2+5xx2−25\dfrac{x^2+5x}{x^2-25} simplifies to xx−a\dfrac{x}{x-a}. Find aa.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0062 marksL2 StandardNon-calculatorAlgebraic fractions
3x−1−2x+1=x+k(x−1)(x+1)\dfrac3{x-1}-\dfrac2{x+1}=\dfrac{x+k}{(x-1)(x+1)}. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0033 marksL3 ExamNon-calculatorAlgebraic fractions
x2−9x2+x−6\dfrac{x^2-9}{x^2+x-6} simplifies to x+ax+b\dfrac{x+a}{x+b}. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0033 marksL3 ExamNon-calculatorFormulae
Make xx the subject of y=x+2x−1y=\dfrac{x+2}{x-1}. Hence find xx when y=4y=4.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL6-0073 marksL3 ExamCalculatorFormulae
The period of a pendulum is T=2πlgT=2\pi\sqrt{\dfrac lg}. Make ll the subject, and find ll when T=2T=2 and g=9.8g=9.8. Give your answer to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme