Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 8) with x(0) = 5. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 81.
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