Daily Practice · Higher Plus

Daily Practice - Higher Plus

31st December 1993

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

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 12 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 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
4
Surds3 marks
Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 2x + 4 and g(x) = 6x - 4. Work out fg(3).

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