Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th February 1995

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

1
Conditional Probability3 marks
A bag holds 4 red and 4 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 50 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 220 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x - 10.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

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