Daily Practice

Higher Plus

9th June 1987

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

1
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 6x + 4 and g(x) = 6x - 9. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 16.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 9 cm and an area of 29.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 14/33. Work out r.

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