Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 17, 40, 71. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
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