Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th March 2013
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides of 13 cm and 13 cm with an angle of 113° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
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