Daily Practice · Higher Plus

Daily Practice - Higher Plus

10th September 1991

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

1
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
2
Completing the Square3 marks
Write x^2 + 2x - 15 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 = 40. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 18 cm with an angle of 50° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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