Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th October 1998
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
- 3Proof2 marks
In an algebraic proof, how would you write a multiple of 4 in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 10 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 (20, 21) lies on the circle x^2 + y^2 = 841. 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 October 1998, including the monthly compilation PDF.