Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th October 1991

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

1
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 8 = y(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 74°, side a is 13 cm and side b is 11 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 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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