Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th December 2009

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 30 < x <= 50 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Completing the Square3 marks
Write x^2 + 8x - 15 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

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