Daily Practice

Higher Plus

3rd January 1981

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

1
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. 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
Bounds3 marks
A car covers 730 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 3x + 12. 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 = 64. Work out y when x = 4.

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