Daily Practice

Higher Plus

1st September 1987

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

1
Surds3 marks
Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 10, 26, 50, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 10 cm with an angle of 76° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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