Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd June 1999

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 1/5. A player expects 8 wins. How many games did they play?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.

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