Daily Practice

Higher Plus

31st May 1988

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 7 cm by 13 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 3/10. 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 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
5
Inverse and Composite Functions3 marks
f(x) = 6x - 7 and g(x) = 5x - 3. Work out fg(3).

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