Daily Practice

Higher Plus

22nd June 1973

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

1
Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 6x + 1 and g(x) = 5x - 6. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 13 cm and an area of 73.54 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) = 1/15. Work out r.

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