Daily Practice

Higher Plus

14th September 1967

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 5x + 6 and g(x) = 5x - 7. Work out fg(-1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 64.

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