Daily Practice

Higher Plus

3rd November 1970

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

1
Conditional Probability3 marks
A bag holds 5 red and 6 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 60 < x <= 80 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
4
Completing the Square3 marks
Write x^2 + 16x - 11 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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