Daily Practice

Higher Plus

3rd March 1988

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

1
Conditional Probability3 marks
A bag holds 3 red and 11 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, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 10.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.

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