Daily Practice

Higher Plus

8th October 1983

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Bounds3 marks
A car covers 290 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Algebraic Fractions3 marks
Write 7/(x + 6) + 7/(x - 5) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.

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