Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st March 2011
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of m and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 24 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.2. How many values are in that class?
- 5Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
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