Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th July 1999
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 6b and vector RS = 9a + 18b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 14 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 5Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
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