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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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6854 questions · page 3 of 343 · choose a topic above to narrow them down

SA-4024-AL9-0031 markL1 FoundationNon-calculatorRegions
Which point lies in the region y<2xy<2x?
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL9-0041 markL1 FoundationCalculatorRegions
The boundary of the region y≥x+2y\ge x+2 should be drawn as
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-G012 marksL1 FoundationNon-calculatorLinear equations
Solve 3(2x−5)=4x+73(2x-5)=4x+7.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-Q011 markL1 FoundationCalculatorFactorising
x2−16x^2-16 factorises to
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-Q021 markL1 FoundationCalculatorInequalities
When both sides of an inequality are divided by −2-2, the inequality sign
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-AL-Q031 markL1 FoundationCalculatorFunctions
fg(x)fg(x) means
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0012 marksL1 FoundationNon-calculatorStraight lines
Find the equation of the line through (1,−2)(1,-2) with gradient 33. Give your answer in the form y=mx+cy=mx+c.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0042 marksL1 FoundationNon-calculatorParallel
Find the equation of the line parallel to y=2x−7y=2x-7 that passes through (3,1)(3,1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0072 marksL1 FoundationNon-calculatorGradient & midpoint
Find the distance between (−3,2)(-3,2) and (5,−4)(5,-4).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0111 markL1 FoundationCalculatorCurves
Which equation has a graph in two separate pieces, with the axes as asymptotes?
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0121 markL1 FoundationCalculatorCurves
The graph of y=3×2xy=3\times2^x crosses the yy-axis at
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG1-0012 marksL1 FoundationCalculatorGradient & midpoint
Find the gradient of the line through (1,2)(1,2) and (4,11)(4,11).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG1-0022 marksL1 FoundationCalculatorGradient & midpoint
Find the midpoint of the line segment joining (−2,5)(-2,5) and (6,−1)(6,-1).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG1-0031 markL1 FoundationCalculatorStraight lines
The line y=3x−4y=3x-4 crosses the xx-axis at (k,0)(k,0). Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG1-0042 marksL1 FoundationCalculatorStraight lines
The line through (2,7)(2,7) with gradient −1-1 has equation y=−x+cy=-x+c. Find cc.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG2-0012 marksL1 FoundationCalculatorParallel
The line parallel to y=3x+1y=3x+1 through (2,4)(2,4) has equation y=3x+cy=3x+c. Find cc.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG2-0021 markL1 FoundationCalculatorPerpendicular
A line has gradient −4-4. Write down the gradient of a line perpendicular to it.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG2-0041 markL1 FoundationCalculatorParallel
Which line is parallel to 2y=4x+32y=4x+3?
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG3-0012 marksL1 FoundationCalculatorTravel graphs
A bus travels 3030 km in 4545 minutes. Find its average speed in km/h.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG3-0022 marksL1 FoundationNon-calculatorCurves
Find the xx-coordinates where y=x2−6x+5y=x^2-6x+5 crosses the xx-axis.

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Salam Academy Original Practice · Proposed mark scheme