Daily Practice

Higher Plus

22nd August 1978

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
5
Inverse and Composite Functions3 marks
f(x) = 4x + 1 and g(x) = 5x - 2. Work out fg(3).

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