Daily Practice

Higher Plus

20th April 1980

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 3 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 60 < x <= 80 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
x = 160 and y = 135, each correct to the nearest whole number. Work out the upper bound of x - y.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 19, 40, 71, 112. 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 = 4, y = 384. Work out y when x = 5.

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