Daily Practice

Higher Plus

5th November 1965

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

1
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
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 = 2, y = 24. Work out y when x = 3.

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