Daily Practice

Higher Plus

16th February 1965

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

1
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 10, 18, 28, 40. Work out the second difference, and the coefficient of n^2.
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, 9 cm and 14 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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