Daily Practice

Higher Plus

4th April 1982

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 8 red and 6 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 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Bounds3 marks
x = 76 and y = 40, each correct to the nearest whole number. Work out the upper bound of x - y.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 13, 27, 45. Work out the second difference, and the coefficient of n^2.
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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