Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th June 1995

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

1
Conditional Probability3 marks
A bag holds 3 red and 10 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 <= 55 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
x = 193 and y = 18, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 3 = y(x + 3).
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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