Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th December 2015
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides 6 cm, 9 cm and 6 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
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 2015, including the monthly compilation PDF.