Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st January 1996

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

1
Conditional Probability3 marks
A bag holds 6 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 2, 3, 1, 0.5. Which class contains the median?
3
Bounds3 marks
x = 172 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Write 5/(x + 1) + 7/(x + 4) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.

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