Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2007
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 64.
- 2The Cosine Rule3 marks
A triangle has sides 17 cm, 13 cm and 6 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
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