Daily Practice

Higher Plus

4th February 1983

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

1
Conditional Probability3 marks
A bag holds 3 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 16, 26, 40. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.

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