Daily Practice

Higher Plus

9th January 1989

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Bounds3 marks
A block has mass 310 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 10x + 16)/(x - 2).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.

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