Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 13 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 3 red and 6 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 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 5Transforming Graphs y=f(x)3 marks
The point (-3, 6) lies on y = f(x). Write down its image on y = f(x - 2).
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