Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st December 2023
- 1Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 9, 13, 19, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 49.
- 4The Cosine Rule3 marks
A triangle has sides of 13 cm and 6 cm with an angle of 32° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 3 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 December 2023, including the monthly compilation PDF.