Daily Practice

Higher Plus

29th October 1971

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

1
Conditional Probability3 marks
A bag holds 10 red and 4 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 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 6) with x(0) = 5. 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 = 2.

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