Daily Practice

Higher Plus

7th July 1953

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

1
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
2
Algebraic Fractions3 marks
Write 5/(x + 4) + 7/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 9 cm and an area of 28.64 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) = 10/21. Work out r.

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