Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th February 1998
- 1Proof2 marks
In an algebraic proof, how would you write the product of two 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 = 100. Work out the positive value of x when y = 196.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + b and vector RS = 12a + 4b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 36 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 0.8. How many values in total?
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