Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th May 1997

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

1
Conditional Probability3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 1, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(72) + sqrt(72), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Write x^2 - 6x + 5 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.

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