Daily Practice

Higher Plus

13th October 1990

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 310 m (to the nearest 10 m) in 7 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) = 4x + 11. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 8 seconds. Work out its deceleration.

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