Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

24th April 2001

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

1
Conditional Probability3 marks
A bag holds 4 red and 9 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 3, 0.5, 2, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 15x + 56)/(x - 8).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.

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