Daily Practice

Higher Plus

5th August 1978

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 220 m (to the nearest 10 m) in 6 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) = 2x + 2 and g(x) = 2x - 9. Work out fg(6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.

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