Daily Practice

Higher Plus

8th August 1982

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 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 10 < x <= 30 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
x = 101 and y = 20, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Simplify (x^2 + 3x + 2)/(x + 1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.

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