Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th March 2008
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 4b and vector RS = 18a + 12b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 18 wins. How many games did they play?
- 3Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
- 4Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 8, 21, 38, ...
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