Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th November 2003
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 3Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 4Proof2 marks
In an algebraic proof, how would you write a multiple of 3 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 25.
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