Daily Practice

Higher Plus

12th April 1977

5 questions · 15 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) = 1/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 2x + 11.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.

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