Daily Practice

Higher Plus

2nd August 1990

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) = 1/55. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
4
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
5
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 5 seconds. Work out its deceleration.

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