Daily Practice

Higher Plus

21st January 1973

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

1
Conditional Probability3 marks
A bag holds 4 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 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Bounds3 marks
x = 100 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Quadratic Inequalities3 marks
Solve x^2 + 10x + 21 > 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.

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