Daily Practice

Higher Plus

9th March 1987

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

1
Conditional Probability3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Bounds3 marks
A block has mass 740 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 16. Work out y when x = 2.

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