Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th February 1997

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

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Factorising Harder Quadratics3 marks
Solve 8x^2 + 18x + 9 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
4
The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 12 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 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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