Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th September 2005
- 1Conditional Probability3 marks
A bag holds 7 red and 3 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 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
- 4Completing the Square3 marks
Write x^2 - 2x - 8 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 36.
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 September 2005, including the monthly compilation PDF.