Daily Practice

Higher Plus

5th April 1983

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

1
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.

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