Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th September 2015
- 1Conditional Probability3 marks
A bag holds 5 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 3Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Transforming Graphs y=f(x)3 marks
The point (-5, -1) lies on y = f(x). Write down its image on y = f(x + 1).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
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