Daily Practice

Higher Plus

20th October 1983

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

1
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(20) + sqrt(180), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 8x - 9. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 81.

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