Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th December 2006
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 12 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 7 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
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Write 7/(x + 3) + 4/(x + 4) as a single fraction.
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 December 2006, including the monthly compilation PDF.