Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th October 2015
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 4 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
- 5Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
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