Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th December 2009
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 49.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. M is the point dividing AB in the ratio 1 : 3. Write vector OM in terms of p and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 22 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
- 5Bounds3 marks
x = 104 and y = 81, each correct to the nearest whole number. Work out the upper bound of x - y.
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 2009, including the monthly compilation PDF.