Daily Practice

Higher Plus

11th February 1985

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Bounds3 marks
A block has mass 260 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
Algebraic Fractions3 marks
Simplify (x^2 + 14x + 48)/(x + 8).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 36.

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