Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th February 2013
- 1Surds3 marks
Simplify sqrt(45) + sqrt(180), giving your answer in the form a sqrt(b).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 16, 25, 36, 49. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. X is the midpoint. Write vector OX in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 77 wins. How many games did they play?
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