Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th January 2024
- 1Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
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 January 2024, including the monthly compilation PDF.