Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th November 2005

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 5x - 4. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.

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