Daily Practice

Higher Plus

2nd November 1961

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
On a histogram the bar for 10 < x <= 15 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 6x - 9 and g(x) = 2x - 9. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.

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