Daily Practice

Higher Plus

3rd April 1962

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 19, 38, 65, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 6 cm and 7 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.

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