Daily Practice

Higher Plus

21st September 1961

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

1
Conditional Probability3 marks
A bag holds 9 red and 4 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 3, 2, 0.5, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 5x^2 - 21x - 20 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 49.

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