Daily Practice

Higher Plus

11th May 1976

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

1
Conditional Probability3 marks
A bag holds 5 red, 3 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 50 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 5x + 5 and g(x) = 4x + 9. Work out fg(-3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.

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