Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th December 1997
- 1Bounds3 marks
A car covers 190 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 6x - 11. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 64.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 14 cm and an area of 31.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. 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 December 1997, including the monthly compilation PDF.