Daily Practice

Higher Plus

9th January 1981

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

1
Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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