Daily Practice

Higher Plus

28th April 1983

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
4
Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 9) with x(0) = 4. Work out x(1) to 3 decimal places.

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