Daily Practice

Higher Plus

6th March 1984

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 2x + 1 and g(x) = 4x + 7. Work out fg(4).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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