Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th September 2017
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 6 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 5Inverse and Composite Functions3 marks
f(x) = 5x + 2 and g(x) = 2x - 4. Work out fg(6).
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