Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th December 2001
- 1Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 16, 23, 32. 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 = 3, y = 16. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. M is the midpoint. Write vector OM in terms of c and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 28 wins. How many games did they play?
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