Daily Practice

Higher Plus

23rd September 1955

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

1
Conditional Probability3 marks
A bag holds 3 red and 7 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 50 < x <= 60 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 11, 18, 29. 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 = 128. Work out y when x = 3.

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