Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th November 2010

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

1
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 3 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 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
4
Algebraic Fractions3 marks
Write 3/(x - 1) + 3/(x - 3) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.

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