Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th November 2009
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 2.4. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.
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