Daily Practice

Higher Plus

6th November 1980

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(20) + sqrt(20), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 8 cm with an angle of 138° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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