Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th December 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 14 cm and an area of 64.35 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) = 2/9. Work out r.
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?
- 5Bounds3 marks
A car covers 330 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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