Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th February 2005
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 24a - 12b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 60 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 60/sqrt(6), giving your answer in its simplest form.
- 5Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
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