Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th November 2002
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 2b and vector RS = 6a - 4b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 72 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 1.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
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