Daily Practice

Higher Plus

19th July 1977

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

1
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
2
Factorising Harder Quadratics3 marks
Solve 2x^2 - 3x - 9 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
4
The Sine Rule3 marks
In triangle ABC, angle A is 53°, side a is 14 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 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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