Daily Practice

Higher Plus

19th December 1984

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

1
Conditional Probability3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 10 cm by 15 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 1, 10, 27, 52, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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