Daily Practice

Higher Plus

8th December 1966

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 8x^2 - 6x - 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 64.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 6 cm and 9 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

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