Daily Practice

Higher Plus

21st September 1962

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 5 cm by 12 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 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 4x - 8 and g(x) = 5x - 9. Work out fg(5).

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