Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th April 2014
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 8 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 5Inverse and Composite Functions3 marks
f(x) = 8x + 11. Work out the inverse function f^-1(x).
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