Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st May 1992

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

1
Surds3 marks
Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Write 7/(x + 1) + 6/(x + 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 63°, side a is 15 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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