Daily Practice

Higher Plus

5th May 1984

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Factorising Harder Quadratics3 marks
Solve 2x^2 + 11x + 12 = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.

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