Daily Practice

Higher Plus

18th March 1975

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 6 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 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
4
Transforming Graphs y=f(x)3 marks
The point (3, 0) lies on y = f(x). Write down its image on y = f(x) + 6.
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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