Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th October 2005

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 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
3
Bounds3 marks
A rectangle is 18 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Algebraic Fractions3 marks
Simplify (x^2 - 36)/(x - 6).
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.

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