Daily Practice

Higher Plus

1st October 1982

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

1
Conditional Probability3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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 30/sqrt(6), giving your answer in its simplest form.
4
Transforming Graphs y=f(x)3 marks
The point (6, 6) lies on y = f(x). Write down its image on y = f(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 36.

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