Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th March 1997

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 9) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.

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