Daily Practice

Higher Plus

2nd April 1989

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 14 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
x = 83 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Inverse and Composite Functions3 marks
f(x) = 5x + 4 and g(x) = 4x + 9. Work out fg(1).

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