Daily Practice

Higher Plus

5th April 1960

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 3 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 10 < x <= 15 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(6))(7 - sqrt(6)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 3x + 2)/(x - 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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