Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th July 2009

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

1
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 12, 21, 34, 51, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

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