Daily Practice

Higher Plus

15th August 1985

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 9 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/11. Work out n.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
5
Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 6x + 8. Work out fg(1).

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