Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th August 2007
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 13 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
x = 167 and y = 123, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Transforming Graphs y=f(x)3 marks
The point (2, -2) lies on y = f(x). Write down its image on y = -f(x).
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