Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th December 2016
- 1Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 4x - 5. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 81.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of m and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?
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 2016, including the monthly compilation PDF.