Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th September 1999
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 11 cm and an area of 35.75 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) = 3/10. Work out r.
- 4Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 0.4. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
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