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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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13 questions

SA-4024-AL1-0012 marksL1 FoundationCalculatorExpanding
Expand and simplify 3(x+4)−2(x−1)3(x+4)-2(x-1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL1-0022 marksL1 FoundationCalculatorExpanding
Expand and simplify (x+5)(x−3)(x+5)(x-3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL1-0032 marksL1 FoundationCalculatorFactorising
x2−7x+12=(x−a)(x−b)x^2-7x+12=(x-a)(x-b) with a<ba<b. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL1-0051 markL1 FoundationCalculatorFactorising
6x2+9x6x^2+9x factorises completely as 3x(2x+k)3x(2x+k). Find kk.

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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-AL-Q011 markL1 FoundationCalculatorFactorising
x2−16x^2-16 factorises to
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0013 marksL2 StandardNon-calculatorExpanding
Expand and simplify (2x+3)(x−4)−2x(x−1)(2x+3)(x-4)-2x(x-1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-0023 marksL2 StandardNon-calculatorFactorising
Factorise 6x2+7x−36x^2+7x-3, and hence solve 6x2+7x−3=06x^2+7x-3=0.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL1-0061 markL2 StandardCalculatorFactorising
4x2−25=(2x−a)(2x+a)4x^2-25=(2x-a)(2x+a). Find aa.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL5-0032 marksL2 StandardNon-calculatorFactorising
x2+2x−15=(x+a)(x+b)x^2+2x-15=(x+a)(x+b) with a>ba>b. Find aa and bb.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL5-0042 marksL2 StandardNon-calculatorFactorising
Factorise 3x+3y+ax+ay3x+3y+ax+ay by grouping. Which is correct?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL5-0051 markL2 StandardNon-calculatorExpanding
Use a2−b2=(a−b)(a+b)a^2-b^2=(a-b)(a+b) to work out 52×4852\times48 without a calculator.

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Salam Academy Original Practice · Proposed mark scheme