Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th May 1997

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) = 1/15. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 48)/(x + 6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 9.

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