Daily Practice · Higher Plus

Daily Practice - Higher Plus

29th April 1997

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

1
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
2
Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 50. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 14 cm and 6 cm. Work out the angle opposite the 12 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 3/4. Work out n.

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