Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th March 2023
- 1Bounds3 marks
A block has mass 410 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 10, 17, 26. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 64°, side a is 14 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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 March 2023, including the monthly compilation PDF.