Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th February 2013

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

1
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 6 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 <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

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