Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd November 2013
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 13 cm and 16 cm with an angle of 45° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 5Bounds3 marks
x = 32 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
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