Daily Practice

Higher Plus

15th January 1980

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

1
Conditional Probability3 marks
A bag holds 5 red and 3 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 40 < x <= 60 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
4
Quadratic Inequalities3 marks
Solve x^2 - 14x + 33 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.

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