MATH 11 Q2 RUQA FINAL PDF
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Republic of the Philippines, Department of Education, REGION X - NORTHERN MINDANAO
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Summary
This is a general mathematics exam paper for the second regional quarterly unified assessment. It includes questions on simple interest. compound interest, present value. and other financial topics. The questions are designed for secondary school students.
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Score Second Regional Quarterly Unified Assessment GENERAL MATHEMATICS Name Date Section Division School Direction: Encircle your best answ...
Score Second Regional Quarterly Unified Assessment GENERAL MATHEMATICS Name Date Section Division School Direction: Encircle your best answer. 1. Which statement below best explains the difference between simple interest and compound interest? a. Simple interest pays out less than compound interest. b. Simple interest increases each year while compound interest remains constant. c. Simple interest is calculated yearly, while compound interest is calculated only at the end of the investment period. d. Simple interest is calculated using the principal only while compound interest is calculated using both the principal and total past interest. 2. Mara invested 10,000 in a bank account that offers 5% annual interest. She can choose between the following: Option A: Simple Interest for 3 years Option B: Compound Interest for 3 years, compounded annually. Which option will give her more interest, and by how much? a. Compound Interest gives more interest by $76.25. b. Simple Interest gives more interest by $76.25. c. Compound Interest gives more interest by $500. d. Simple Interest gives more interest by $500. 3. Suppose you wanted to invest money and you do not intend to withdraw it within two years, which bank offer would you prefer? a. a bank with 2% compounded interest quarterly. b. a bank with 3% compounded interest semi-annually. c. a bank with 4% compounded interest per annum. d. a bank with 5% simple interest per annum. 1 4. Which of the following descriptions of the debtor or borrower is correct? a. It is an individual who invest the money or provides the funds. b. It is the total sum borrowed or invested as of the date of origin. c. It is an individual who obtains the funds from the lender or who owes the money. d. It is the interest calculated using both the principal and the total accumulated previous interest. 5. What is the formula of finding the present value? 𝐹 𝑟𝑡 a. 𝑃 = 𝐼𝑠𝑟𝑡 b. 𝑃 = (1+𝑟)𝑡 c. 𝑃 = 𝐼 d. 𝑃 = F (1+ r )t 𝑠 For numbers 6-7: Given following values: F = ₱ 25,000, r = 2% compounded annually for 3 years, 6. How much is the present value? a. ₱20, 432.75 c. ₱23, 558.06 b. ₱22, 307.15 d. ₱25,000.00 7. How much is the interest after 3 years? a. ₱ 1,167.25 c. ₱ 1,530.20 b. ₱ 1,441.94 d. ₱ 1,999.75 8. What formula will be used to determine the maturity value? a. 𝐹 = 𝑃(1 + 𝑗)mt c. F = 𝐼𝑐 (1 + 𝑗)𝑛 𝐼𝑠 𝑃 b. F= d. F = 𝑟𝑡 (1+𝑚 )𝑡 For number 9-10: Shirley is planning to invest ₱ 150,000.00. San Jose Rural Bank is offering 1.15% compounded semi – annually, while Taysan Cooperative Bank offers 1.25% compounded monthly. 9. What will be the interest after 5 years if he borrows from Taysan Cooperative Bank? a. ₱ 2,812.53 b. ₱ 9,668.97 c. ₱ 16,431.54 d. ₱ 36,221.32 10. After 5 years, which bank will give her the higher return, and by how much? a. San Jose Rural Bank; ₱817.34 more than Taysan Cooperative Bank. b. Taysan Cooperative Bank; ₱817.34 more than San Jose Rural Bank. c. San Jose Rural Bank; ₱1,572.89 more than Taysan Cooperative Bank. d. Taysan Cooperative Bank; ₱1,572.89 more than San Jose Rural Bank. For numbers 11-12: Ana has ₱ 100,000.00 to invest at 1.11% compounded monthly. 11. What is the total number of compounding frequency if the investment matures after 6 years? a. 6 b. 12 c. 18 d. 72 12. How much is the interest rate per conversion period? a. 0.00917% b. 0.0917% c..917% d. 9.17% 13. Which of the following statements is an example of a simple annuity? a. ₱ 5,000 deposited every year for 5 years at 8% simple interest per year. b. ₱ 5,000 deposited every six months for 5 years at 8% simple interest per month. c. ₱ 5,000 deposited every month for 5 years at 8% per year compounded annually. d. ₱ 5,000 deposited every quarter for 5 years at 8% per year compounded quarterly. For numbers 14-16, Given the cash flow of an annuity below. Payment ₱10,000.00 ₱10,000.00 ₱10,000.00 ₱10,000.00 Period (year) 0 1 2 3 4 ₱ 10,000(1.10)3 ₱ 10,000(1.10)2 ₱ 10,000(1.10) ₱ 10,000 14. What is the rate of interest in the given cash flow of annuity? a. 0.01% b. 0.10% c. 1.10% d. 10% 15. What is the term of the payment for the said annuity? a. 4 months b. 5 months c. 4 years d. 5 years 16. What is the sum of all the payments of the given annuity? a. ₱ 40,218.00 c. ₱ 44,100.00 b. ₱ 41,718.00 d. ₱ 46,410.00 17. If the money is worth 12% compounded monthly, what is the future value of an annuity of ₱10,000.00 payable on a quarterly basis for five years? a. ₱ 64,395.55 c. ₱ 69,435.55 b. ₱ 64,935.55 d. ₱ 69,534.55 18. What is the present value of an annuity of ₱20,000.00 payable semi- annually for 5 years if money is worth 6% yearly compounded every quarter. a. ₱ 120,640.00 c. ₱ 170,408.33 b. ₱ 145,022.80 d. ₱ 186,640.00 19. What do you call on the price an asset would sell in the open market when certain conditions are met. a. annuity c. down payment b. cash flow d. fair market value 20. Peter offers to buy a pair of shoes at ₱1,000 and they agreed at the middle price. What is the fair market value of the shoes if John buys it for ₱1,400? a. ₱ 1,200 b. ₱ 1,250 c. ₱ 1,300 d. ₱ 1,350 21. A washing machine is sold in a store. Mark promises to provide a deposit of ₱5,000 and make payments of ₱6,000 every six months for two years. Supposed that the monthly compounding rate is 3%, what is the washing machine's economic value? a. ₱ 24,545.42 c. ₱ 20,000 b. ₱ 23,126.31 d. ₱ 28,126.31 22. Which of the following statement regarding annuities is INCORRECT? a. Annuities never use the pooling technique to distribute risk b. The period prior to the annuitization date is the accumulation period c. When the payout period starts. the annuitant gets regular payments d. An owner has the option to modify the recipient, the annuity date, or the settlement choice 23. A type of deferred annuity which is a contract between you and an insurance company. It serves as an investment account that may grow on a tax-deferred basis. What kind of annuity is being described in the statement? a. fixed annuity c. indexed annuity b. variable annuity d. longevity annuity 24. Nina is planning to buy a computer set with a monthly payment of ₱3,000 for three years using a credit card company that offers a deferred payment option for the purchase of any devices. The payment will start at the end of 3 months. What is the period of deferral if it is 5 % compounded monthly? a. 1 b. 2 c. 3 d. 4 25. Amy bought a laptop for her daughter through a credit cooperative company. The cooperative provides a deferred payment option, and Amy chose to pay after 4 months from the date of purchase. Her monthly installment amounts to ₱3,500.00, which she will pay over 12 months. What is the cash value of the laptop if the interest rate is 8% compounded monthly? a. ₱ 45,360.00 c. ₱ 39,441.14 b. ₱ 42,000.00 d. ₱ 36,225.15 26. What do you call s person or a company that buys and sells stocks and other investments for a financial market participant in return for a commission, markup, or fee. a. stockbroker c. entrepreneur b. stockholder d. politician 27. What best describes a bond? a. It is a corporate or government debt securities or obligation. b. It is an ownership interest in a company. c. It is an equity or share in a company. d. It is a debt instrument. 28. Why would someone invest in stocks rather than in an interest-bearing savings account? a. They are assured of receiving their money back in stocks. b. They are assured of receiving their money in savings account. c. In the stock market, there is a great possibility to make more money. d. There is a great possibility to make more money in the savings account. 29. If the demand for the bond increases, what happens to the price and interest rate of a bond? a. Price increases: interest rate is unaffected. b. Price is unaffected; interest rate is unaffected. c. Price increases; interest rate decreases. d. Price decreases; interest rate decreases. 30. Refer to table below: Bid Ask/Offer Size Price Price Size 360 360,00 23.60 23.80 22,000 3 11 60,000 23.55 23.90 188,600 5 56 540,500 23.50 23.20 14,100 2 How many traders is willing to sell his/her 14,100 shares at 23.20? a. 2 b. 3 c. 5 d. 11 31. Which of the following scenarios describes a consumer loan? a. Mr. Moran runs a cart company that sells ice cream. He intends to install a second ice cream cart at the other city's new mall. He made the decision to take out a loan to launch a new company. b. Ms. Faye desires to open a second location for her beauty shop. He made the decision to apply for a ₱ 50,000 loan so he could pay the new branch's rentals. c. Mr. Tim owns a computer shop, He wanted to add 5 computer sets in his shop, so he decided to borrow money from the bank to buy 5 computer sets. d. Mila made the decision to have a family vacation to Bohol, Cebu, and Palawan. She opted to apply for a ₱100,000 loan in order to pay for the Vacation costs. 32. A group of friends is discussing where to invest their savings. Anna says: "We should buy stocks because they allow us to own a part of a company and possibly earn dividends." Ben says: "No, let’s go for bonds. They offer a fixed return and are less risky than stocks." Carla adds: "Why don’t we invest in both stocks and bonds to balance risks and potential returns?" Which of the following BEST explains the difference between stocks and bonds and supports Carla's suggestion? a. Stocks are loans to a company, while bonds are ownership stakes that grow with company profits. b. Stocks provide ownership in a company, with variable returns, c. while bonds are fixed-income investments with lower risk. c. Stocks are short-term investments, while bonds are only for long- term returns. d. Stocks and bonds are the same, but bonds give extra benefits like voting rights. 33. Which of the given statement about terms of payment for consumer and business loan is CORRECT? a. Consumer loan has a shorter term of payment that business loan. b. Consumer loan has a longer term of payment than a business loan. c. Consumer and business loans are always equal in terms of payment. d. Consumer loan has no specific term of payment, unlike a business loan. 34. Ina, a college student apply for a student loan amounting to ₱10,000.00 for her final examination payable in 2 consecutive years after her graduation. In how many months will she need to pay fully her student loan? a. 12 months c. 36 months b. 24 months d. 60 months 35. Mr. Thomas through Diamond Bank bought a ₱20,000,000.00 worth of beach resort. How much is the mortgaged amount if the bank demands a 20% down payment? a. ₱ 400,000.00 c. ₱ 4,000,000.00 b. ₱ 800,000.00 d. ₱ 16,000,000.00 36. How do you correctly read this proposition “f: Time is an independent variable.”? a. Proposition f “Time is an independent variable.” b. f is the proposition “Time is an independent variable.” c. “Time is an independent variable.” d. f means “Time is an independent variable.” 37. Which of the following denotes a proposition? a. a big letter b. a small letter c. an italicized letter d. a bold letter 38. What logical connector is used in merging these 2 simple propositions: (1) Money is a root of all evil and (2) Spending for the needy is wise? a. and b. or c. if then d. not 39. Which of the following statement represents ~𝑗 ∧ ~𝑘? (j: A soft answer turns away wrath, k: a harsh word stirs up anger) a. A soft answer turns away wrath and a harsh word stirs up anger. b. A soft answer does not turn away wrath or a harsh word does not stir up anger. c. A soft answer does not turn away wrath and a harsh word does not stir up anger. d. If a soft answer does not turn away wrath, then a harsh word does not stir up anger. 40. Which of the following truth table shows (𝑝 ∧ [(𝑞 ∨ (~𝑝)) ∧ (~𝑞)] is a fallacy? a. 𝑝 𝑞 ~p ~𝑞 𝑞 ∨ [(𝑞 ∨ (~𝑝)) ∧ (𝑝 ∧ [(𝑞 ∨ (~𝑝)) ∧ (~𝑞)] (~𝑝) (~𝑞)] T T F F F F F T F F T F F F F T T F F F F F F T T T T F b. 𝑝 𝑞 ~p ~𝑞 𝑞 ∨ [(𝑞 ∨ (~𝑝)) ∧ (𝑝 ∧ [(𝑞 ∨ (~𝑝)) ∧ (~𝑞)] (~𝑝) (~𝑞)] T T F F T F F T F F T F F F F T T F T F F F F T T T T F c. 𝑝 𝑞 ~p ~𝑞 𝑞 ∨ [(𝑞 ∨ (~𝑝)) ∧ (𝑝 ∧ [(𝑞 ∨ (~𝑝)) ∧ (~𝑞)] (~𝑝) (~𝑞)] T T T F T F F T F T T F F F F T F F T F F F F F T T T F d. 𝑝 𝑞 ~p ~𝑞 𝑞∨ [(𝑞 ∨ (~𝑝)) ∧ (𝑝 ∧ [(𝑞 ∨ (~𝑝)) ∧ (~𝑝) (~𝑞)] (~𝑞)] T T F T T F F T F F T F F F F T T F T F F F F T F T T F 41. In the minutes of the meeting, it is recorded that “All ten members agreed that there will be a monthly contribution of ₱50.00. Let p be the statement “The collection for February is ₱500.00”. Decide on the truth value of the negation ~p in the given scenarios: Scenario A: All members of the group paid the monthly Scenario B: The treasurer lost the payment of the three members. Scenario C: One member left the group. What is the truth value of the negation ~p in scenario A? a. true c. neither true nor false b. false d. information is insufficient. 42. What type of conditionals is being depicted by the conditional? statement, “If you are not proud of Manuel L. Quezon, then you must not take pride in being a Filipino”? a. converse c. inverse b. contrapositive d. equivalence 43. Which of the following is a tautology? a. [(𝑝 → 𝑞) ∧ 𝑝] → 𝑝 b. (𝑝 → 𝑞) ↔ (~𝑞 → 𝑝) c. [[𝑝 → (𝑟 → 𝑞)] ↔ [(𝑝 ∧ 𝑟) → 𝑞] d. (𝑝 → 𝑟) ∧ [(𝒑 ↔ 𝒓) → 𝑞] → (𝑝 → 𝑞) 44. Carmela loves both Badminton and Volleyball, but he loves neither Badminton nor Tennis. Which of the following symbol represents the statement? a. (𝑝 ∧ 𝑞) ∧ (𝑞 ∧ 𝑟) c. (𝑝 ∧∼ 𝑝) ∧ (∼ 𝑞 ∧ 𝑟) b. (𝑝 ∧ 𝑞) ∧ (∼ 𝑞 ∧∼ 𝑟) d. (∼ 𝑝 ∧∼ 𝑞) ∧ (𝑞 ∧ 𝑟) 45. Some teachers are not Math teachers. What is the quality of the categorical proposition? a. affirmative c. negative b. particular d. universal 46. What form of the categorical syllogism is illustrated by the statement: All competent teachers are experienced teachers. Some competent teachers are efficient teachers. Therefore, some experienced teachers are not efficient teachers. a. AII-1 b. AIO-2 c. IAO-3 d. IAI-4 47. If we will change the categorical proposition, “All successful people are not lazy” in standard form, which of the following is the correct proposition? a. All S are P. c. Some S are P. b. No S are P. d. Some S are not P. 48. Which of the following is true with the argument, “If the tinola tastes good, then it is cooked by my mother. It was not cooked by my mother. So, the tinola do not taste good.”? a. It is a fallacy by Fallacy of the Consequent. b. It is a fallacy by Affirming the Disjunct. c. It is valid by Modus Tollens. d. It is valid by Modus Ponens. 49. Which of the following propositional forms supports the argument in item number 48? a. [(𝑝 ∨ 𝑞) ∧ 𝑝] → (~𝑞) c. [(𝑝 → 𝑞) ∧ 𝑝] → 𝑞 b. (𝑝 → 𝑞) → (𝑞 → 𝑝) d. [(𝑝 → 𝑞) ∧ (~𝑞) → (~𝑝) 50. Which of the following is true with the argument, “If you make it a habit to do good, then you eventually possess a happy heart. If you possess a happy heart, then your body and soul become healthier. Hence, if you make it a habit to do good, then your body and soul become healthier.”? a. It is a fallacy by Affirming a Disjunct. b. It is a fallacy by Denying a Conjunct. c. It is valid by Rule of Contradiction. d. It is valid by Law of Syllogism.