Daily Practice · Higher Plus

Daily Practice - Higher Plus

19th February 1993

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

1
Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
2
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 15 cm and 14 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.

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