Daily Practice

Higher Plus

11th October 1988

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
4
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 3 = y(x + 3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.

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