Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th January 1995

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

1
Conditional Probability3 marks
A bag holds 5 red and 8 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 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 5x + 3 and g(x) = 2x - 4. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.

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