Daily Practice

Higher Plus

7th January 1954

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

1
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 5x - 1 and g(x) = 6x - 9. Work out fg(5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.

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