Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th January 2002
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 10 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 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 5Transforming Graphs y=f(x)3 marks
The point (2, 0) lies on y = f(x). Write down its image on y = f(x + 4).
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