Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th January 2009
- 1Surds3 marks
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 6.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides of 14 cm and 17 cm with an angle of 87° between them. Work out the third side, to 1 decimal place.
- 5Conditional 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?
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 January 2009, including the monthly compilation PDF.