Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th November 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 36.
- 2The Cosine Rule3 marks
A triangle has sides 22 cm, 16 cm and 14 cm. Work out the angle opposite the 22 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 2/3. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 5Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
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