Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st February 2001
- 1Surds3 marks
Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).
- 2Transforming Graphs y=f(x)3 marks
The point (-4, 0) lies on y = f(x). Write down its image on y = f(x) + 5.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?
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