Daily Practice

Higher Plus

19th May 1959

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

1
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
2
Algebraic Fractions3 marks
Write 4/(x - 5) + 7/(x + 6) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 12 cm and 8 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.

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