Daily Practice

Higher Plus

25th May 1967

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 - 12x + 11 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 36.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 10 cm and an area of 51.96 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) = 14/33. Work out r.

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