Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th December 1997
- 1Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
- 4Completing the Square3 marks
Write x^2 + 6x + 10 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 4.
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