Daily Practice

Higher Plus

19th December 1975

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
4
Factorising Harder Quadratics3 marks
Solve 6x^2 - 5x - 6 = 0.
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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