Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th March 2007

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Algebraic Fractions3 marks
Simplify (x^2 + 11x + 30)/(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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