Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th February 2023
- 1Bounds3 marks
x = 60 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 9.
- 4The Cosine Rule3 marks
A triangle has sides 11 cm, 6 cm and 10 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. 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 February 2023, including the monthly compilation PDF.