Daily Practice

Higher Plus

7th January 1975

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

1
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
2
Algebraic Fractions3 marks
Write 5/(x + 3) + 2/(x + 1) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 12 cm with an angle of 122° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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