Salam Academy
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-GE3-0012 marksL1 FoundationCalculatorSimilar shapes
Two triangles are similar. The smaller has sides 44 cm and 66 cm; the matching sides of the larger are 1010 cm and xx cm. Find xx.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0021 markL1 FoundationCalculatorSimilar shapes
A length of 88 cm on one shape corresponds to 1212 cm on a similar, larger shape. Find the length scale factor.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0051 markL1 FoundationCalculatorSimilar shapes
Which of these pairs of shapes are always similar?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0091 markL1 FoundationCalculatorArea & volume scale
Two similar solids have volumes in the ratio 8:278:27. Their lengths are in the ratio
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE-Q031 markL1 FoundationCalculatorSimilar shapes
Which of these is NOT enough to prove two triangles are congruent?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE-0103 marksL2 StandardNon-calculatorArea & volume scale
Two triangles are similar. A side of 66 cm in the smaller triangle corresponds to a side of 99 cm in the larger. The smaller triangle has area 2020 cm2^2. Find the area of the larger triangle.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE-0112 marksL2 StandardCalculatorArea & volume scale
Two similar bottles have heights 55 cm and 1515 cm. The smaller bottle holds 4040 cm3^3. Find the volume of the larger bottle.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0032 marksL2 StandardCalculatorSimilar shapes
A person 1.81.8 m tall casts a shadow 2.42.4 m long. At the same time, a tree casts a shadow 1616 m long. Find the height of the tree.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0042 marksL2 StandardCalculatorSimilar shapes
In triangle ABCABC, DD is on ABAB and EE on ACAC with DEDE parallel to BCBC. AD=3AD=3 cm, AB=9AB=9 cm and DE=4DE=4 cm. Find BCBC.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0062 marksL2 StandardCalculatorArea & volume scale
Two similar shapes have lengths in the ratio 2:52:5. The smaller has area 1212 cm2^2. Find the area of the larger.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0072 marksL2 StandardCalculatorArea & volume scale
Two similar cones have heights 66 cm and 99 cm. The smaller has surface area 2020 cm2^2. Find the surface area of the larger.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE3-0082 marksL2 StandardCalculatorArea & volume scale
Two similar statues are made of the same metal. They are 1010 cm and 2020 cm tall. The smaller has mass 33 kg. Find the mass of the larger.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-GE-0123 marksL3 ExamNon-calculatorArea & volume scale
Two similar shapes have areas 1616 cm2^2 and 3636 cm2^2. A length on the smaller shape is 1010 cm. Find the corresponding length on the larger shape.

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Salam Academy Original Practice · Proposed mark scheme