Daily Practice

Higher Plus

27th July 1990

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

1
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 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
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
4
Transforming Graphs y=f(x)3 marks
The point (2, 3) lies on y = f(x). Write down its image on y = f(x) + 4.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 4.

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