Daily Practice

Higher Plus

25th October 1963

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write a multiple of 8 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 16 cm and 11 cm. Work out the angle opposite the 12 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 2/3. Work out n.

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