Daily Practice

Higher Plus

29th August 1967

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

1
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
2
Quadratic Inequalities3 marks
Solve x^2 + x < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 77 wins. How many games did they play?

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