Daily Practice

Higher Plus

1st June 1965

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 13 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 8 red and n blue counters. The probability of taking a red is 8/15. 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
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
5
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).

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