Daily Practice

Higher Plus

5th February 1982

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

1
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (6, 4) lies on y = f(x). Write down its image on y = f(x - 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 9 cm and an area of 58.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.

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