Daily Practice

Higher Plus

19th December 1967

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

1
Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
4
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 16.

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