Daily Practice

Higher Plus

28th July 1989

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

1
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 4x - 4. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 14 cm and an area of 77.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.

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