Daily Practice

Higher Plus

17th March 1987

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

1
Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
2
Quadratic Inequalities3 marks
Solve x^2 + 11x + 24 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 18 wins. How many games did they play?

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