Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st January 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 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 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 14, 34, 64, 104. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.

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