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1. End of Unit Test on Probability for S2 Students
2. End of Unit Test on Statistics of Grouped Data for S2 Students
3. End of Unit Test on Isometries for S2 Students
4. End of Unit Test on Vectors for S2 Students
5. End of Unit Test on Pythagoras Theorem for S2 Students
6. End of Unit Test on Thales Theorem for S2 Students
7. End of Unit Test on Simultaneous Linear Equations and Inequalities for S2 Students
8. End of Unit Test on Polynomials for S2 Students
9. End of Unit Test on Indices and Surds for S2 Students
Summary Notes on Multiplier for Proportional Change
1. A ratio is a relation that compares two or more quantities of the same kind, such as lengths, using division giving one quantity as a fraction of another.
2. A proportion is a mathematical statement of the equality of two ratios.
3. The four properties of proportion are:
(a) Mean-extremes or cross - product: \(\frac{a}{b}=\frac{c}{d}\) implies \(ad=bc\).
(b) Mean or extremes switching: \(\frac{a}{b}=\frac{c}{d}\) implies \(\frac{a}{c}=\frac{b}{d}\)
(c) Inverse or reciprocal: \(\frac{a}{b}=\frac{c}{d}\) implies \(\frac{b}{a}=\frac{d}{c}\)
(d) Denominator addition/ substraction: \(\frac{a}{b}=\frac{c}{d}\) implies \(\frac{a+b}{b}=\frac{c+d}{d}\).
4. If two ratios have the same value then they are equivalent, even though they may look different. For example: \(\frac{1}{2}\) is equivalnt to \(\frac{8}{16}\).
5. A decreasing multiplier is a factor that reduces the proportion of a given quantity. To calculate the new price, we proceed as New price = initial price x multiplier, where, multiplier = \((\frac{100-x}{100})\) and \(x\) is the percentage decrease on the cost price.
6. An increasing multiplier is a factor that increases the proportion of a given quantity. To calculate the new price, we proceed as New price = initial price x multiplier, where multiplier = \((\frac{100+x}{100})\) and \(x\) is the percentage increase on the cost price.