Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th October 2005
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of p and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 52 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 16/sqrt(2), 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 October 2005, including the monthly compilation PDF.