Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th April 2009
- 1Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 48.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 4b and vector RS = 10a + 20b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 112 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
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