Daily Practice

Higher Plus

5th September 1971

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

1
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Bounds3 marks
x = 134 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Write x^2 - 6x + 9 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.

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