Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th March 2009
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides of 8 cm and 11 cm with an angle of 102° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
x = 141 and y = 29, each correct to the nearest whole number. Work out the upper bound of x - y.
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 March 2009, including the monthly compilation PDF.