Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th September 2006
- 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 6 cm, 9 cm and 7 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 15/sqrt(3), giving your answer in its simplest form.
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