Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th September 1998
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of p and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 120 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 2.4. How many values are in that class?
- 5Bounds3 marks
A car covers 500 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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