Daily Practice

Higher Plus

12th June 1954

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 40 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 680 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Algebraic Fractions3 marks
Write 2/(x + 3) + 7/(x + 2) as a single fraction.
5
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.

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