Daily Practice

Higher Plus

1st December 1959

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

1
Conditional Probability3 marks
A bag holds 4 red and 7 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 2, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 17, 39, 69. 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 = 3, y = 100. Work out y when x = 5.

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