Daily Practice

Higher Plus

8th September 1983

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Write x^2 + 16x + 9 in the form (x + a)^2 + b.
5
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 4 seconds. Work out its deceleration.

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