Daily Practice

Higher Plus

8th January 1987

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

1
Conditional Probability3 marks
A bag holds 3 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 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
4
Quadratic Inequalities3 marks
Solve x^2 - 9 > 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 9.

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