Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st September 2024
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 3 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 66 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 16, 29, 46, ...
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 September 2024, including the monthly compilation PDF.