Daily Practice

Higher Plus

20th September 1983

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 4/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
4
Algebraic Fractions3 marks
Simplify (x^2 + 11x + 30)/(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.

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