Daily Practice

Higher Plus

12th September 1986

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

1
Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 - 25)/(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 16 cm and an area of 39.60 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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