Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th November 2000
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 6b and vector RS = 6a + 12b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 22 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 750 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Inverse and Composite Functions3 marks
f(x) = 4x + 8. Work out the inverse function f^-1(x).
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