Daily Practice

Higher Plus

1st August 1986

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

1
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
2
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 9.
4
The Sine Rule3 marks
In triangle ABC, angle A is 66°, side a is 12 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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