New Exam Prep
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New Exam Prep
Sample questions with model answers
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The sum of three number is 10 and their product is 25. If the sum of their squares is 38, find the sum of the cubes of these three numbers.
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Sum of cubes = 250.
The full exam-length answer is in the app.
Prove that the angles subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of a circle.
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Use inscribed angle theorem.
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How many three digits numbers are divisible by 7.
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There are 128 three-digit numbers divisible by 7.
The full exam-length answer is in the app.
A square is inscribed in a circle of radius r. Show that the ratio of the area of the square to the area of the circle is $2:\pi$.
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Area ratio = $\frac{2}{\pi}$.
The full exam-length answer is in the app.
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