Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th August 1999
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 12a + 20b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 12 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
- 5Completing the Square3 marks
Write x^2 + 8x - 11 in the form (x + a)^2 + b.
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