Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th August 1993

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

1
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
2
Completing the Square3 marks
Write x^2 + 14x - 14 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
4
The Sine Rule3 marks
In triangle ABC, angle A is 47°, side a is 11 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 8 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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