Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th August 2018
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 6 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 3 red and 7 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 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 5.
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