Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st May 2002

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Bounds3 marks
A rectangle is 27 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Inverse and Composite Functions3 marks
f(x) = 3x - 1 and g(x) = 3x - 3. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 81.

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