Quarter III Module 5 (Written Works) Section: qquad Score: qquad Ons: Read the questions carefully and write ONLY the letter which corresponds to the CORRECT answer on the provided before the number. Which statement is the equality of two ratios? A. Rate B. Similar C. Congruent D. Proportion Which ratio makes 12:16= qquad a correct proportion? A. 3:4 B. 2:4 C. 4:5 D. 5:6 The ratio 4:20 is proportional to the ratio qquad A. 2:20 B. 1:10 C. 3:15 D. 2:15 The following describes the proportion of the given figure, EXCEPT; A. 1:5=3:15 B. 2:10=4:20 C. 3:15=5:25 D. 1:5=2:15 For items 3-4 , refer to the figure below. In a proportion 3:9=9:x , which of the following is the value of x ? A. 11 B. 27 C. 33 D. 44 If the ratio of a to b is 4:7 and b is 14 , then a is equal to: A. 8 B. 12 C. 16 D. 20 Rewrite the proportion that do not alter the meaning of proportion w:x=y:z . A. wx=yx B. wy=xz C. (x)/(y)=(x)/(z) D. (w)/(y)=(x)/(z) By applying the cross multiplication property, what proportion is equivalent to (A)/(B)=(C)/(D) ? A. AC=BD C. AD=BC B. (A)/(D)=(C)/(B) D. (A)/(C)=(B)/(D) What is the value of z in the proportion 2:5=z:10 ? A. 4 B. 6 C. 8 D. 10 At a certain time of the day, a post cast a shadow of 2m while a 6m pole cast a shadow of 4m . What is the height of the post? A. 5m B. 4m C. 3m D. 2m A mango tree cast a shadow of 9m while a 2m tall avocado tree cast a shadow of 6m at a certain time in the morning. What is the height of the mango tree? A. 3m B. 5m C. 6m D. 9m
Question
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Answer
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Andrea TorresMaster · Tutor for 5 years
Answer
<p><br />1. D<br />2. A<br />3. B <br />4. D<br />5. B<br />6. A<br />7. B<br />8. C<br />9. A <br />10. C<br />11. A</p>
Explanation
<p> This multi-part question is based on the concepts of ratios and proportions, which are fundamental elements in elementary algebra. <br />- A proportion forms when two ratios are equal to each other, hence option D (Proportion).<br />- To set a correct proportion, the equivalence between ratios should hold. In this question, the equivalent ratio to 12:16 is equivalent to 3:4 (Both ratios when simplified will result in 0.75). Hence option A is correct. <br />- A simplified form of the ratio 4:20 would be 1:5, which is proportional to 1:10.<br />- When examining statements to find the one that describes a proportion incorrectly, all but one option use the same set of numbers on each side of the proportion, except option D ( The ratio 1:5 when simplified would be does not match simplified 2:15, thus making that choice false.) <br />- According to the rule of three, solving for a missing value in proportion 3: 9=9: x when x=27. Hence option B is correct.<br />- In a ratio, If a to b is 4:7. If b=14 (<br /><br />- Writing a valid expression that matches the given proportion, the reformatted proportion will be wy=xz (inverting doesn't affect the proportionality). Hence, option B is correct. <br />- When observing the proportion A/B = C/D, applying cross-multiplication results to the expression of AD=BC.<br />- Solving for the missing value in the proportion 2: 5=z:10 gives z=4. Hence, option A would be correct.<br />- For items 10 and 11, the problem can be solved by direct proportion i.e by considering the ratio (Post_height:Post_Shadow = Pole_Height:Pole shadow) i.e. (height:2 = 6:4) which would give us a height of 3m for the post and finding the height of Mango Tree from ( height: 9= 2:6), we get a height of 3m.</p>
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