Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st May 1997

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

1
Conditional Probability3 marks
A bag holds 4 red, 6 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 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 23 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x + 10.
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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