Daily Practice

Higher Plus

16th August 1985

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

1
Conditional Probability3 marks
A bag holds 4 red and 9 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 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
4
Quadratic Inequalities3 marks
Solve x^2 - 10x + 9 > 0.
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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