Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th March 2015
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 10 red and 4 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 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 5Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
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 March 2015, including the monthly compilation PDF.