Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th October 2023
- 1Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 4Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 81.
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 October 2023, including the monthly compilation PDF.