Daily Practice

Higher Plus

4th March 1986

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

1
Surds3 marks
Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 5x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
The Sine Rule3 marks
In triangle ABC, angle A is 68°, side a is 18 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 11 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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