Daily Practice · Higher Plus

Daily Practice - Higher Plus

31st May 1994

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

1
Conditional Probability3 marks
A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
4
Inverse and Composite Functions3 marks
f(x) = 4x + 1. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.

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