Daily Practice

Higher Plus

9th September 1953

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

1
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 2 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 50 < x <= 70 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 28 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 12, 27, 50, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.

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