Daily Practice

Higher Plus

25th January 1978

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 5 red and 6 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 <= 40 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A rectangle is 6 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 13, 34, 65. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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