Daily Practice

Higher Plus

15th March 1963

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

1
Conditional Probability3 marks
A bag holds 4 red and 9 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 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
4
Transforming Graphs y=f(x)3 marks
The point (-4, -4) lies on y = f(x). Write down its image on y = f(x) - 1.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.

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