Daily Practice

Higher Plus

30th October 1982

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 15 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 3/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
4
Bounds3 marks
A car covers 470 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Inverse and Composite Functions3 marks
f(x) = 3x - 4 and g(x) = 2x - 4. Work out fg(2).

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