Daily Practice

Higher Plus

19th August 1986

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

1
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 11, 22, 41, 68. 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 = 4, y = 128. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?

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