Daily Practice

Higher Plus

31st August 1973

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) = 14/33. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 - 8x + 12)/(x - 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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