Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 2024
- 1Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out the positive value of x when y = 192.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 9 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
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 December 2024, including the monthly compilation PDF.