Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th March 1996

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 4 cm by 10 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 9 red and 3 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 10 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
5
Inverse and Composite Functions3 marks
f(x) = 3x + 9 and g(x) = 5x - 2. Work out fg(6).

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