Daily Practice

Higher Plus

25th December 1983

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 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 179 and y = 45, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 12.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.

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