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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-TR-0012 marksL1 FoundationNon-calculatorPythagoras problems
A right-angled triangle has hypotenuse 1313 cm and one other side 55 cm. Find the third side.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0012 marksL1 FoundationNon-calculatorHypotenuse
A right-angled triangle has shorter sides 66 cm and 88 cm. Find the hypotenuse.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0022 marksL1 FoundationNon-calculatorHypotenuse
A right-angled triangle has shorter sides 77 cm and 2424 cm. Find the hypotenuse.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0032 marksL1 FoundationNon-calculatorPythagoras problems
A right-angled triangle has hypotenuse 1717 cm and one shorter side 88 cm. Find the third side.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0042 marksL1 FoundationCalculatorHypotenuse
A right-angled triangle has shorter sides 55 cm and 99 cm. Find the hypotenuse, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0062 marksL1 FoundationNon-calculatorHypotenuse
Find the length of the diagonal of a rectangle 1212 cm by 55 cm.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-G012 marksL1 FoundationNon-calculatorHypotenuse
A right-angled triangle has shorter sides 99 cm and 1212 cm. Find the length of the hypotenuse.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0052 marksL2 StandardCalculatorPythagoras problems
A 55 m ladder leans against a vertical wall. Its foot is 1.51.5 m from the wall on level ground. How high up the wall does it reach? Give your answer to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0072 marksL2 StandardNon-calculatorPythagoras problems
Find the distance between the points (1,2)(1,2) and (7,10)(7,10).

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0081 markL2 StandardCalculatorPythagoras problems
Is a triangle with sides 99 cm, 1212 cm and 1616 cm right-angled?
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR1-0093 marksL2 StandardNon-calculatorPythagoras problems
An isosceles triangle has two sides of 1010 cm and a base of 1212 cm. Find its perpendicular height.

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Salam Academy Original Practice · Proposed mark scheme
SA-4024-TR-0113 marksL3 ExamCalculatorPythagoras problems
A ship sails 1212 km on a bearing of 060∘060^\circ, then 88 km on a bearing of 150∘150^\circ. Find its distance from the starting point, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme