Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th January 2005
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 16, 31, 52. Work out the second difference, and the coefficient of n^2.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 150.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 2b and vector RS = 15a - 10b. 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 1.2, one 5 units wide with density 1.4. How many values in total?
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