Daily Practice

Higher Plus

15th July 1982

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(20) + sqrt(125), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 15, 29, 51, 81. 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 = 320. Work out y when x = 3.

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