Daily Practice

Higher Plus

6th November 1975

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 9 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(45) + sqrt(245), giving your answer in the form a sqrt(b).
5
Inverse and Composite Functions3 marks
f(x) = 3x - 6 and g(x) = 3x + 3. Work out fg(4).

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