Daily Practice

Higher Plus

3rd July 1987

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

1
Surds3 marks
Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 - 6x + 4 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 8 cm with an angle of 145° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 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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