Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th June 2001

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 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 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 3 and g(x) = 6x - 2. Work out fg(4).
5
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 8 seconds. Work out its deceleration.

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