Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th September 2010
- 1Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 3Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 23, 39, 61. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 25.
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