Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th October 2007
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 2b and vector RS = 12a + 8b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 840 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 10x + 24)/(x - 6).
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