Daily Practice

Higher Plus

8th January 1971

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

1
Conditional Probability3 marks
A bag holds 4 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
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
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) - 6.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.

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