Daily Practice

Higher Plus

27th December 1983

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

1
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
2
Inverse and Composite Functions3 marks
f(x) = 2x - 12. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 11 cm and an area of 55.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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