Daily Practice

Higher Plus

25th February 1989

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 9 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
A car covers 580 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 2x + 12. Work out the inverse function f^-1(x).

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