Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 25.
- 4The Cosine Rule3 marks
A triangle has sides of 9 cm and 15 cm with an angle of 114° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 red, 5 blue and 6 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 May 2016, including the monthly compilation PDF.