Daily Practice - Higher Plus
- 1Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 10, 19, 30. 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 = 25. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of c and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 3 wins. How many games did they play?
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