Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th August 2005
- 1Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 5b and vector RS = 20a - 25b. What does this show about PQ and RS?
- 2Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 24 wins. How many games did they play?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 25 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
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