Daily Practice

Higher Plus

13th May 1983

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

1
Surds3 marks
Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 24 cm, 15 cm and 12 cm. Work out the angle opposite the 24 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 2/9. Work out n.

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