Daily Practice

Higher Plus

16th August 1990

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

1
Surds3 marks
Simplify sqrt(75) + sqrt(3), 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 inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 10 cm with an angle of 102° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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