Daily Practice

Higher Plus

31st May 1984

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
2
Quadratic Inequalities3 marks
Solve x^2 + 11x + 28 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 14 wins. How many games did they play?

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