Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th November 2005
- 1Surds3 marks
Rationalise the denominator of 48/sqrt(6), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -1, 4, 13, 26. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 64.
- 4The Cosine Rule3 marks
A triangle has sides of 17 cm and 17 cm with an angle of 45° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 7 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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 November 2005, including the monthly compilation PDF.