Daily Practice

Higher Plus

6th October 1989

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 2x + 1 and g(x) = 3x + 6. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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