Daily Practice

Higher Plus

18th January 1990

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + x - 12)/(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 7 cm with an angle of 74° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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