Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd July 2013

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
4
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 2x + 3. Work out fg(-3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 36.

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