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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-GE5-0011 markL1 FoundationCalculatorLoci
The locus of points exactly 33 cm from a point PP is
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0021 markL1 FoundationCalculatorLoci
The locus of points equidistant from two points AA and BB is
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0031 markL1 FoundationCalculatorLoci
The locus of points equidistant from two intersecting lines is
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0041 markL1 FoundationNon-calculatorConstructions
An angle of 70∘70^\circ is bisected. Write down the size of each of the two angles formed.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0051 markL1 FoundationNon-calculatorConstructions
A scale drawing uses a scale of 1:2001:200. A wall is 33 cm long on the drawing. Find its real length in metres.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0062 marksL2 StandardNon-calculatorConstructions
A(1,1)A(1,1) and B(5,3)B(5,3). Find the gradient of the perpendicular bisector of ABAB.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0072 marksL2 StandardNon-calculatorConstructions
A triangle with sides 55 cm, 55 cm and 88 cm is constructed. Find its height, from the 88 cm base to the opposite vertex.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0082 marksL2 StandardCalculatorLoci
A goat is tied at the corner of a rectangular field by a rope 44 m long. It can only graze inside the field. Find the area it can graze, in m², to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0092 marksL2 StandardNon-calculatorLoci
A straight wall is 1010 m long. Find the area of the region on one side of the wall that is within 22 m of the wall, ignoring the rounded ends.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0102 marksL2 StandardNon-calculatorLoci
AB=8AB=8 cm. Point PP is equidistant from AA and BB and 55 cm from AA. Find the distance from PP to the midpoint of ABAB.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0121 markL2 StandardCalculatorConstructions
The point equidistant from all three vertices of a triangle is found where
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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE5-0112 marksL3 ExamNon-calculatorLoci
AB=6AB=6 cm. How many points are both equidistant from AA and BB and exactly 22 cm from AA?

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Salam Academy Original Practice · Proposed mark scheme