Daily Practice

Higher Plus

23rd March 1990

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

1
Conditional Probability3 marks
A bag holds 10 red and 4 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 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 8x + 4. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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