Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th November 1995

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 670 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 8) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.

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