Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th April 2014
- 1Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/11. Work out n.
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(18) + sqrt(2), giving your answer in the form a sqrt(b).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
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