Daily Practice

Higher Plus

19th February 1957

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 4 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
5
Inverse and Composite Functions3 marks
f(x) = 4x - 9 and g(x) = 6x - 6. Work out fg(5).

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