Daily Practice

Higher Plus

12th June 1986

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

1
Conditional Probability3 marks
A bag holds 3 red and 11 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 14, 30, 54, 86. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 4 seconds. Work out its deceleration.

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