Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th March 2013
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 6b and vector RS = 10a - 30b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 18 wins. How many games did they play?
- 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
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 1) with x(0) = 1. Work out x(1) to 3 decimal places.
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