Daily Practice

Higher Plus

1st April 1975

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

1
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
2
Algebraic Fractions3 marks
Simplify (x^2 - 7x - 8)/(x + 1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 53°, side a is 17 cm and side b is 13 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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