Daily Practice

Higher Plus

10th November 1987

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

1
Conditional Probability3 marks
A bag holds 4 red, 6 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 30 < x <= 35 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
4
Quadratic Inequalities3 marks
Solve x^2 - 8x > 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 = 3.

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