Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd September 2011
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides 21 cm, 13 cm and 10 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 5Bounds3 marks
A car covers 470 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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