Daily Practice

Higher Plus

20th July 1990

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 14 cm by 6 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 3/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).

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