Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd March 1995

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

1
Conditional Probability3 marks
A bag holds 4 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, 1, 2, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 - 11x + 24)/(x - 3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 16.

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