Daily Practice

Higher Plus

2nd November 1982

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

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
Algebraic Fractions3 marks
Write 7/(x - 3) + 4/(x + 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 9 cm and an area of 46.77 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. Work out r.

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