Daily Practice

Higher Plus

21st March 1972

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

1
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
4
Quadratic Inequalities3 marks
Solve x^2 + 12x + 32 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.

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