Daily Practice · Higher Plus

Daily Practice - Higher Plus

14th June 1994

5 questions · 14 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 Sequence2 marks
A quadratic sequence starts 10, 26, 50, 82. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 21 cm, 8 cm and 16 cm. Work out the angle opposite the 21 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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