Daily Practice

Higher Plus

19th May 1970

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
4
Factorising Harder Quadratics3 marks
Solve 2x^2 + 5x - 25 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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