Daily Practice

Higher Plus

21st April 1989

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 24)/(x + 6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.

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