Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2016
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 64.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 13 cm and an area of 68.94 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 5Bounds3 marks
A rectangle is 17 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
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