Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th July 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of q and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 6 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 3.5. How many values are in that class?
- 5Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
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