Daily Practice

Higher Plus

30th April 1985

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 30, 59, 98. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 10 seconds. Work out its deceleration.

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