Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd September 2006
- 1Bounds3 marks
x = 70 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Transforming Graphs y=f(x)3 marks
The point (-3, 6) lies on y = f(x). Write down its image on y = f(x - 1).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = p. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of c and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 2 wins. How many games did they play?
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