Daily Practice

Higher Plus

18th November 1988

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

1
Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
2
Quadratic Inequalities3 marks
Solve x^2 - 8x + 7 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 64.
4
The Sine Rule3 marks
In triangle ABC, angle A is 43°, side a is 16 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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