Daily Practice

Higher Plus

11th August 1970

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

1
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 2 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 <= 20 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
5
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 5 seconds. Work out its deceleration.

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