Daily Practice

Higher Plus

11th October 1977

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
2
Proof2 marks
In an algebraic proof, how would you write a multiple of 9 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 8 cm and 9 cm. Work out the angle opposite the 8 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 6/13. Work out n.

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