Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th September 2025
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
- 3Transforming Graphs y=f(x)3 marks
The point (3, 6) lies on y = f(x). Write down its image on y = f(-x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 22 m/s over 8 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 (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
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