Daily Practice

Higher Plus

23rd April 1991

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

1
Conditional Probability3 marks
A bag holds 7 red, 6 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 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
4
Algebraic Fractions3 marks
Write 4/(x + 2) + 4/(x - 6) as a single fraction.
5
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.

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