Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st July 2012

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 6 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 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 25.

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