Daily Practice

Higher Plus

20th October 1967

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 3, 0.5, 1, 2. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 + 4x - 5)/(x - 1).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.

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