Daily Practice

Higher Plus

20th January 1976

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

1
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
2
Completing the Square3 marks
Write x^2 + 14x + 5 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 7 cm and 11 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.

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