Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2019
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 8 cm by 5 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 11 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 2. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 9, 25, 47, ...
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