Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th July 1995

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

1
Conditional Probability3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 16.

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