Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st January 2005
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 81.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of p and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 14 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
- 5Bounds3 marks
A car covers 120 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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