Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th April 2007
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
- 3Inverse and Composite Functions3 marks
f(x) = 6x - 9 and g(x) = 5x + 8. Work out fg(-2).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 22 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
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 April 2007, including the monthly compilation PDF.