Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th July 2013
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 4a + 24b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 49 wins. How many games did they play?
- 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?
- 4Bounds3 marks
A car covers 390 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 5Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
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