Daily Practice

Higher Plus

16th September 1976

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

1
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 8x^2 - 6x + 1 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 6 cm, 11 cm and 13 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.

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