Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd January 2008
- 1Bounds3 marks
A rectangle is 21 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 7x - 8. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 16.
- 4The Cosine Rule3 marks
A triangle has sides 4 cm, 9 cm and 7 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. 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 January 2008, including the monthly compilation PDF.