Daily Practice

Higher Plus

23rd September 1969

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

1
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
2
Factorising Harder Quadratics3 marks
Solve 6x^2 - 17x + 12 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 14 cm and 13 cm. Work out the angle opposite the 15 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 7/9. Work out n.

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