Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th August 2024
- 1Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 5 wins. How many games did they play?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
- 3Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
- 4Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 4.
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