Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th January 2012
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 10a + 8b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 5 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
- 5Inverse and Composite Functions3 marks
f(x) = 6x - 8. Work out the inverse function f^-1(x).
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