Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th September 2020
- 1Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
- 2Completing the Square3 marks
Write x^2 - 8x + 2 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 16 cm, 15 cm and 13 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
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 September 2020, including the monthly compilation PDF.