Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 1999
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 11.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 256.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + b and vector RS = 24a + 4b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 55 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
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