Daily Practice

Higher Plus

18th November 1990

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

1
Conditional Probability3 marks
A bag holds 7 red and 3 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 1.2. How many values are in that class?
3
Bounds3 marks
x = 42 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Inverse and Composite Functions3 marks
f(x) = 2x - 7 and g(x) = 6x - 6. Work out fg(-2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.

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