Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th January 2008
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 12a - 6b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
- 5Completing the Square3 marks
Write x^2 - 2x + 15 in the form (x + a)^2 + b.
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