Daily Practice · Higher Plus

Daily Practice - Higher Plus

10th September 1994

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) = 7/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A car covers 850 m (to the nearest 10 m) in 7 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) = 7x + 8. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.

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