Daily Practice

Higher Plus

25th December 1984

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

1
Conditional Probability3 marks
A bag holds 6 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 1, 3, 2, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
4
Transforming Graphs y=f(x)3 marks
The point (-2, 5) lies on y = f(x). Write down its image on y = f(x + 3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 64.

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