Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th June 1991

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 4.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
4
The Sine Rule3 marks
In triangle ABC, angle A is 35°, side a is 12 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 11 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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