Daily Practice

Higher Plus

12th October 1965

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -4, -4, -2, 2. 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 = 40. Work out y when x = 3.

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