Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st August 2007

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

1
Conditional Probability3 marks
A bag holds 8 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
4
Inverse and Composite Functions3 marks
f(x) = 5x - 1 and g(x) = 3x - 2. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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