Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th November 2014
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides of 5 cm and 12 cm with an angle of 99° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 3 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 2.4. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
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