Daily Practice

Higher Plus

4th September 1964

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 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 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 3x + 4 and g(x) = 4x - 7. Work out fg(5).

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