Daily Practice

Higher Plus

21st July 1987

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

1
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 7 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 13 cm and 9 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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