Daily Practice

Higher Plus

4th March 1982

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 3 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
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
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
5
Inverse and Composite Functions3 marks
f(x) = 4x + 11. Work out the inverse function f^-1(x).

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