Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th April 2007
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 3Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 6) with x(0) = 3. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
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