Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th September 2018
- 1Bounds3 marks
x = 79 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 25, 49, 83. 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 = a and vector OB = b. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 24 wins. How many games did they play?
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