Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd January 2004
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - b and vector RS = 20a - 4b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -3, 5, 21, 45, ...
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