Daily Practice

Higher Plus

5th December 1978

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

1
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
2
Algebraic Fractions3 marks
Write 2/(x - 5) + 7/(x - 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 8 cm and 14 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

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