Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th August 1992

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

1
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
2
Algebraic Fractions3 marks
Write 6/(x - 4) + 2/(x - 3) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 6 cm and an area of 23.33 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.

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