Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st February 1998

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 660 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 5x + 7 and g(x) = 4x + 3. Work out fg(0).
5
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 4 seconds. Work out its deceleration.

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