Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
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