Daily Practice

Higher Plus

29th October 1985

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

1
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
2
Completing the Square3 marks
Write x^2 - 6x + 5 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 13 cm and 7 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.

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