Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th September 1997

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
3
Bounds3 marks
A rectangle is 16 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Algebraic Fractions3 marks
Write 7/(x + 1) + 2/(x + 6) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 81.

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