Daily Practice

Higher Plus

5th November 1973

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 3/5. A player expects 33 wins. How many games did they play?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
3
Bounds3 marks
A block has mass 850 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 4x - 9 and g(x) = 5x - 9. Work out fg(5).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.

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