Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2015
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 6b and vector RS = 8a + 24b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 52 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 174 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Completing the Square3 marks
Write x^2 + 10x - 1 in the form (x + a)^2 + b.
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