Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st March 2017
- 1Conditional Probability3 marks
A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A rectangle is 8 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 13, 28, 51, 82. 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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