Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th March 1999

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 12, 28, 52, 84, ...
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.

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