Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 11, 26, 47. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
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 June 2012, including the monthly compilation PDF.