Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th August 2019
- 1Bounds3 marks
A rectangle is 29 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Completing the Square3 marks
Write x^2 + 10x - 10 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides of 7 cm and 12 cm with an angle of 34° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red, 3 blue and 5 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 August 2019, including the monthly compilation PDF.