Daily Practice

Higher Plus

10th December 1964

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

1
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 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 0.5, 1, 3, 2. Which class contains the median?
3
Surds3 marks
Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 23, 47, 79. 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 = 49, y = 63. Work out y when x = 16.

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