Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd July 2019
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides 16 cm, 13 cm and 12 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
- 5Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
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