Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st September 2006
- 1Conditional Probability3 marks
A bag holds 5 red, 5 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 0.5, 2, 1, 3. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 30/sqrt(6), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Write 5/(x - 2) + 5/(x + 5) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. 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 2006, including the monthly compilation PDF.