Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2012
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 7 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 2/7. Work out n.
- 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
Simplify sqrt(18) + sqrt(50), giving your answer in the form a sqrt(b).
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.
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 August 2012, including the monthly compilation PDF.