Daily Practice

Higher Plus

8th May 1987

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

1
Conditional Probability3 marks
A bag holds 4 red and 8 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, 2, 1, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 - 12x + 32)/(x - 4).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.

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