Daily Practice

Higher Plus

4th May 1971

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

1
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 8)/(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 9.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 14 cm and an area of 52.50 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) = 3/11. Work out r.

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