Daily Practice

Higher Plus

9th May 1986

5 questions · 14 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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 13, 28, 47. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 7 cm with an angle of 42° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 3 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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