Daily Practice

Higher Plus

25th March 1958

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

1
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides 3 cm, 6 cm and 6 cm. Work out the angle opposite the 3 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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