Daily Practice

Higher Plus

29th August 1954

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

1
Conditional Probability3 marks
A bag holds 9 red and 3 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
Bounds3 marks
x = 49 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 1.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.

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