Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd September 2024
- 1Bounds3 marks
x = 192 and y = 121, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Write 7/(x + 3) + 7/(x + 1) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 7 cm and an area of 32.17 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
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 2024, including the monthly compilation PDF.