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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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2730 questions · page 70 of 137 · choose a topic above to narrow them down

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-GE1-0052 marksL2 StandardNon-calculatorAngle facts
The angles of a triangle are xx, x+20∘x+20^\circ and 2x2x. Find the largest angle.

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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-ME-0032 marksL2 StandardCalculatorArcs & sectors
A sector has radius 99 cm and angle 80∘80^\circ. Find the arc length, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME-0074 marksL2 StandardCalculatorPyramids & cones
A solid cone has base radius 33 cm and vertical height 44 cm. Find (a) its volume (b) its total surface area. Give your answers to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME1-0032 marksL2 StandardNon-calculatorPerimeter & area
A parallelogram has base 99 cm, perpendicular height 44 cm and slanted sides of 55 cm. Find its area.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME1-0042 marksL2 StandardNon-calculatorPerimeter & area
A rectangle has area 4848 cm2^2 and width 66 cm. Find its perimeter.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME2-0022 marksL2 StandardCalculatorCircles
A circle has area 64π64\pi cm2^2. Find its radius.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME2-0032 marksL2 StandardCalculatorCircles
Find the perimeter of a semicircle of radius 55 cm. Give your answer to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME3-0042 marksL2 StandardNon-calculatorPrism volume
A prism has a trapezium cross-section with parallel sides 44 cm and 66 cm and height 33 cm. The prism is 1010 cm long. Find its volume.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-ME4-0022 marksL2 StandardCalculatorPyramids & cones
A cone has base radius 55 cm and slant height 1313 cm. Find its curved surface area, in terms of π\pi.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU-0022 marksL2 StandardNon-calculatorIndices
Evaluate (a) 272327^{\frac23} (b) 16−1216^{-\frac12}.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU-0042 marksL2 StandardNon-calculatorSimplifying surds
Simplify 72+50\sqrt{72}+\sqrt{50}, giving your answer in the form k2k\sqrt2. State kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU2-0102 marksL2 StandardNon-calculatorFractions
Work out 314−1233\tfrac14-1\tfrac23, giving your answer as an improper fraction.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU3-0032 marksL2 StandardCalculatorIndices
Evaluate 813481^{\frac34}.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU3-0052 marksL2 StandardCalculatorSimplifying surds
Expand and simplify (2+3)(2−3)(2+\sqrt3)(2-\sqrt3).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU4-0072 marksL2 StandardNon-calculatorPercentages
After a 20%20\% discount, a jacket costs $64\$64. Find the original price, in dollars.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-NU8-0042 marksL2 StandardNon-calculatorRounding & estimating
By rounding each number to 11 significant figure, estimate 48.7×9.8\sqrt{48.7}\times9.8.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-PR-0042 marksL2 StandardNon-calculatorAnd / or
Two fair six-sided dice are rolled and the scores are added. Find the probability that the total is 88.

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Salam Academy Original Practice · Proposed mark scheme