Daily Practice

Higher Plus

2nd April 1964

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 6x - 5. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.

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