Daily Practice

Higher Plus

12th June 1970

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 6, 14, 26, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

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