Daily Practice

Higher Plus

7th January 1987

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 15 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 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 23 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Inverse and Composite Functions3 marks
f(x) = 5x - 1 and g(x) = 5x + 1. Work out fg(5).

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