Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th May 1995

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 6 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 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 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(20) + sqrt(180), giving your answer in the form a sqrt(b).
5
Inverse and Composite Functions3 marks
f(x) = 6x - 7 and g(x) = 5x - 3. Work out fg(3).

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