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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-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-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-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-CG-G014 marksL1 FoundationNon-calculatorGradient & midpoint
AA is (2,3)(2,3) and BB is (8,11)(8,11). Find (a) the gradient of ABAB (b) the length of ABAB (c) the coordinates of the midpoint of ABAB.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-Q021 markL1 FoundationCalculatorStraight lines
The line y=5−2xy=5-2x crosses the yy-axis at
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0023 marksL2 StandardNon-calculatorStraight lines
Find the equation of the line through (−1,4)(-1,4) and (3,−4)(3,-4), in the form y=mx+cy=mx+c.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0032 marksL2 StandardNon-calculatorStraight lines
For the line 2x+3y=122x+3y=12, find (a) the gradient (b) the yy-intercept.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0143 marksL2 StandardNon-calculatorStraight lines
The line y=mx+cy=mx+c passes through (2,5)(2,5) and (6,7)(6,7). Find mm and cc.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-CG-0153 marksL3 ExamNon-calculatorGradient & midpoint
The points (1,k)(1,k), (3,7)(3,7) and (5,11)(5,11) lie on a straight line. Find kk.

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Salam Academy Original Practice · Proposed mark scheme