Daily Practice

Higher Plus

16th April 1963

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

1
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
2
Algebraic Fractions3 marks
Write 3/(x + 4) + 4/(x - 5) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 8 cm and an area of 28.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

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