Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 64.
- 2The Cosine Rule3 marks
A triangle has sides of 8 cm and 14 cm with an angle of 56° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
- 5Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, 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 July 2024, including the monthly compilation PDF.