Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th September 1999
- 1Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
- 2Transforming Graphs y=f(x)3 marks
The point (1, -2) lies on y = f(x). Write down its image on y = f(x) - 3.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and p.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?
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