Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th March 2001
- 1Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 27 wins. How many games did they play?
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
- 4Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
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