Daily Practice

Higher Plus

7th January 1986

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
4
Factorising Harder Quadratics3 marks
Solve 9x^2 - 4 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.

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