Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd July 2013
- 1Bounds3 marks
A block has mass 880 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Algebraic Fractions3 marks
Write 6/(x + 2) + 5/(x + 3) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 6 cm and an area of 12.73 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
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