Daily Practice

Higher Plus

22nd May 1990

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

1
Conditional Probability3 marks
A bag holds 8 red and 6 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 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Completing the Square3 marks
Write x^2 + 6x - 9 in the form (x + a)^2 + b.
5
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.

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