Daily Practice

Higher Plus

4th July 1967

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 8.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 25.

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