Daily Practice

Higher Plus

19th December 1968

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

1
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 5 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 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Write 6/(x - 3) + 2/(x + 5) as a single fraction.
5
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 8 seconds. Work out its deceleration.

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