Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th March 2009
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 6 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 9x + 18)/(x - 3).
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