Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th June 2023

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 1/10. A player expects 14 wins. How many games did they play?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 6x - 11. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.

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