Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th October 1991

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
x = 43 and y = 21, 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 + 6.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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