Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

14th September 1999

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
4
Factorising Harder Quadratics3 marks
Solve 2x^2 + 11x - 6 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 81.

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