Daily Practice

Higher Plus

19th October 1979

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

1
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 8x + 9. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 10 cm and an area of 51.96 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.

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