Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd December 2004
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the midpoint. Write vector ON in terms of a and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 4 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
- 5Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
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