Daily Practice

Higher Plus

24th April 1990

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

1
Surds3 marks
Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x - 11.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 12 cm and an area of 62.35 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.

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