Daily Practice · Higher Plus

Daily Practice - Higher Plus

14th December 1993

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 5x + 1 and g(x) = 6x + 6. Work out fg(4).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.

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