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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-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-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
SA-4024-CG3-0051 markL1 FoundationCalculatorCurves
Which equation has an S-shaped graph that can cross the xx-axis up to three times?
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-Q031 markL1 FoundationCalculatorTravel graphs
The area under a speed–time graph gives the
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0084 marksL2 StandardCalculatorTravel graphs
A car accelerates uniformly from rest to 1212 m/s in 88 s, travels at 1212 m/s for 2020 s, then slows uniformly to rest in 44 s. Find (a) its acceleration in the first 88 s (b) the total distance travelled.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0092 marksL2 StandardCalculatorTravel graphs
Ali walks 66 km to a shop in 1121\tfrac12 hours, stays there for 3030 minutes, then walks home in 11 hour. Find his average speed for the whole trip, in km/h.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0104 marksL2 StandardNon-calculatorCurves
For the curve y=x2−4x+3y=x^2-4x+3, find (a) the xx-coordinates where it crosses the xx-axis (b) the coordinates of its turning point.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0133 marksL2 StandardNon-calculatorCurves
Find the xx-coordinates of the points where the graphs of y=x2y=x^2 and y=x+2y=x+2 intersect.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG3-0032 marksL2 StandardCalculatorCurves
Write down the coordinates of the turning point of y=(x−2)2+3y=(x-2)^2+3.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG3-0043 marksL2 StandardCalculatorTravel graphs
A car travelling at 2020 m/s slows uniformly to rest in 55 s. Find (a) its deceleration (b) the distance it travels while slowing.

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Salam Academy Original Practice · Proposed mark scheme