Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th April 1997

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

1
Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 - 10x - 12 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 14 cm with an angle of 51° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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