Daily Practice

Higher Plus

12th February 1991

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

1
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
2
Quadratic Inequalities3 marks
Solve x^2 + 5x - 6 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 8 cm with an angle of 126° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 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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