Daily Practice

Higher Plus

2nd September 1976

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 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 20, 41, 72, 113. 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 = 16. Work out y when x = 2.

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