Daily Practice

Higher Plus

27th November 1962

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
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
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 12, 29, 54, 87, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 36.

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