Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th June 2019
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 37°, side a is 9 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 5Bounds3 marks
A car covers 890 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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 June 2019, including the monthly compilation PDF.