Daily Practice

Higher Plus

12th August 1969

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

1
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
2
Quadratic Inequalities3 marks
Solve x^2 - 6x < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 8 cm and an area of 33.94 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) = 1/10. Work out r.

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