Daily Practice

Higher Plus

9th October 1990

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

1
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
The Sine Rule3 marks
In triangle ABC, angle A is 51°, side a is 9 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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