Daily Practice

Higher Plus

18th May 1990

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

1
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 6/(x + 1) + 6/(x + 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 9 cm with an angle of 62° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 4 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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