Daily Practice

Higher Plus

22nd January 1974

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 5) with x(0) = 2. Work out x(1) to 3 decimal places.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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