Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd January 2018
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 55 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
- 5Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
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 2018, including the monthly compilation PDF.