Daily Practice

Higher Plus

1st February 1955

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

1
Conditional Probability3 marks
A bag holds 3 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -8, -10, -10, -8, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 81.

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