Daily Practice

Higher Plus

10th July 1981

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

1
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -1, 1, 7, 17, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 64.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 12 cm and an area of 72.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.

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