Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd September 2024
- 1Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 3Bounds3 marks
A block has mass 330 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Inverse and Composite Functions3 marks
f(x) = 5x + 4 and g(x) = 3x - 6. Work out fg(2).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 64.
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.