Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd March 2013

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

1
Conditional Probability3 marks
A bag holds 7 red and 6 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 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 3 and g(x) = 5x - 8. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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