Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th February 2005

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Bounds3 marks
A block has mass 200 g (to the nearest 10 g) and volume 14 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) = 2x + 5 and g(x) = 6x - 2. Work out fg(6).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.

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