Daily Practice

Higher Plus

3rd January 1989

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 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 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x - 13.
5
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 4 seconds. Work out its deceleration.

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