Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th April 2017
- 1Bounds3 marks
A car covers 400 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 9, 27, 53, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 6 wins. How many games did they play?
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