Daily Practice

Higher Plus

8th September 1976

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 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 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 7 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Quadratic Inequalities3 marks
Solve x^2 - 2x - 3 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.

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