Daily Practice

Higher Plus

14th September 1975

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 4 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 <= 60 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
x = 193 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Inverse and Composite Functions3 marks
f(x) = 3x - 9. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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