Daily Practice

Higher Plus

15th February 1974

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

1
Conditional Probability3 marks
A bag holds 7 red and 5 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 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 5x - 3 and g(x) = 6x - 5. Work out fg(-3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.

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