Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th February 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 36.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 11 cm and an area of 22.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
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