Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th June 2005

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) = 1/6. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
4
Quadratic Inequalities3 marks
Solve x^2 - 2x - 15 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 27. Work out y when x = 3.

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