Daily Practice

Higher Plus

16th January 1982

5 questions · 14 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) = 3/28. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 870 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
Simplify (x^2 + 10x + 21)/(x + 3).
5
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.

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