Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th November 1992

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 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 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 19, 39, 69, 109. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 36.

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