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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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6854 questions · page 2 of 343 · choose a topic above to narrow them down

SA-4024-AL3-0032 marksL1 FoundationCalculatorLinear sequences
The sequence 5, 8, 11, 14,…5,\ 8,\ 11,\ 14,\ldots continues in the same way. Find the 2020th term.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL3-0041 markL1 FoundationCalculatorLinear sequences
A sequence has nth term 4n−14n-1. Is 100100 a term of the sequence?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL3-0061 markL1 FoundationCalculatorInequalities
How many integers xx satisfy −2≤x<3-2\le x<3?

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0013 marksL1 FoundationCalculatorDirect proportion
yy is directly proportional to xx, and y=12y=12 when x=4x=4. Find yy when x=10x=10.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0023 marksL1 FoundationCalculatorInverse proportion
yy is inversely proportional to xx, and y=5y=5 when x=6x=6. Find yy when x=10x=10.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL4-0031 markL1 FoundationCalculatorFunctions
f(x)=2x+5f(x)=2x+5. Find f(3)f(3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL5-0012 marksL1 FoundationNon-calculatorExpanding
(2x−3)2=4x2+bx+c(2x-3)^2=4x^2+bx+c. Find bb and cc.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL5-0022 marksL1 FoundationNon-calculatorFactorising
12xy−8x212xy-8x^2 factorises completely as kx(3y−2x)kx(3y-2x). Find kk.

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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?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL7-0011 markL1 FoundationNon-calculatorLinear equations
Solve x4+3=7\dfrac x4+3=7.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL7-0022 marksL1 FoundationNon-calculatorLinear equations
The angles of a triangle are x∘x^\circ, 2x∘2x^\circ and 3x∘3x^\circ. Form an equation and find xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL7-0032 marksL1 FoundationNon-calculatorLinear equations
Solve 4(x−2)=2(x+5)4(x-2)=2(x+5).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL7-0042 marksL1 FoundationNon-calculatorSimultaneous
Solve the simultaneous equations 2x+y=112x+y=11 and x−y=1x-y=1.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0012 marksL1 FoundationNon-calculatorSolving quadratics
Solve x2+3x=0x^2+3x=0. Give the non-zero solution.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL8-0061 markL1 FoundationNon-calculatorSolving quadratics
Solve x2−9=0x^2-9=0. Give the positive solution.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0012 marksL1 FoundationNon-calculatorInequalities
Find the largest integer xx that satisfies 3x−1≤2x+43x-1\le2x+4.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0022 marksL1 FoundationNon-calculatorInequalities
Find the smallest integer xx that satisfies x3+2>5\dfrac x3+2>5.

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Salam Academy Original Practice · Proposed mark scheme