Daily Practice

Higher Plus

29th March 1966

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

1
Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 2) 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 = 3, y = 162. Work out y when x = 5.

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