Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
- 3Inverse and Composite Functions3 marks
f(x) = 6x - 1. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 15 m/s over 6 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 (5, 12) lies on the circle x^2 + y^2 = 169. 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 May 2023, including the monthly compilation PDF.