Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 19, 35, 57. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. X is the midpoint. Write vector OX in terms of a and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 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 May 2003, including the monthly compilation PDF.