Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

31st October 2006

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

1
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 20, 31, 44. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.

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