Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

9th October 2001

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 60 wins. How many games did they play?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
4
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 5x - 5. Work out fg(6).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.

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