Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 12 cm and an area of 18.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 5Bounds3 marks
A block has mass 660 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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