Daily Practice

Higher Plus

26th August 1988

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 9x + 18)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 8 cm with an angle of 77° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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