Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th December 2002
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 3Algebraic Fractions3 marks
Simplify (x^2 - 12x + 32)/(x - 8).
- 4Velocity Time Graphs3 marks
A tram runs at 7 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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 2002, including the monthly compilation PDF.