Daily Practice

Higher Plus

19th December 1983

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

1
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
3
Bounds3 marks
A block has mass 280 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Completing the Square3 marks
Write x^2 - 10x + 8 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.

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