Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th August 1991

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 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.

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