Daily Practice

Higher Plus

4th October 1983

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

1
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 7, 10, 15, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 9.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 56 wins. How many games did they play?

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