Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th September 1994

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 5 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
5
Inverse and Composite Functions3 marks
f(x) = 7x + 9. Work out the inverse function f^-1(x).

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