Daily Practice

Higher Plus

3rd May 1962

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -6, -6, -4, 0. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 22 cm, 15 cm and 9 cm. Work out the angle opposite the 22 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 3/5. Work out n.

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