Daily Practice

Higher Plus

16th July 1968

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

1
Conditional Probability3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 4x - 2 and g(x) = 3x - 3. Work out fg(4).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.

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