Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th October 2007
- 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 6 red and 3 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?
- 4Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
- 5Rearranging Harder Formulae3 marks
Make x the subject of 7x + 5 = y(x + 5).
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