Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2014
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 18 cm and side b is 15 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
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