Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th October 2003
- 1Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 2Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
x = 137 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 25, 45, 71. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
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