Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th August 2013
- 1Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
- 2Transforming Graphs y=f(x)3 marks
The point (1, -3) lies on y = f(x). Write down its image on y = f(x) - 6.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 36.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of m and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?
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