Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd July 2008

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

1
Conditional Probability3 marks
A bag holds 5 red, 3 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 40 < x <= 45 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x - 14.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.

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