Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd February 2008
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 6 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 8 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 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
- 5Inverse and Composite Functions3 marks
f(x) = 5x - 9. Work out the inverse function f^-1(x).
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of February 2008, including the monthly compilation PDF.