Daily Practice

Higher Plus

2nd April 1985

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

1
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
2
Quadratic Inequalities3 marks
Solve x^2 - 9x + 8 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 9 cm and 12 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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