Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
- 3Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
- 4Proof2 marks
In an algebraic proof, how would you write a multiple of 7 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
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