Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st November 2005
- 1Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
- 2Transforming Graphs y=f(x)3 marks
The point (0, 2) lies on y = f(x). Write down its image on y = f(x - 4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 64.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 7 cm and an area of 12.25 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
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