Daily Practice

Higher Plus

28th June 1983

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

1
Conditional Probability3 marks
A bag holds 5 red and 9 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 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
4
Algebraic Fractions3 marks
Write 2/(x - 6) + 7/(x - 3) as a single fraction.
5
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 5 seconds. Work out its deceleration.

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