Daily Practice

Higher Plus

21st August 1984

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

1
Conditional Probability3 marks
A bag holds 4 red and 10 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 40 < x <= 50 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
4
Inverse and Composite Functions3 marks
f(x) = 2x + 3. 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 = 2.

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