Department of Education
Region X – Northern Mindanao
Division of Misamis Oriental
BALIWAGAN SENIOR HIGH SCHOOL
Baliwagan, Balingasag, Misamis Oriental
LONG EXAMINATION in GENERAL MATHEMATICS
Name: __________________________________ Grade and Section: _______________________
Teacher: MRS. MARDY NELLE VILLACURA-GALVE Date: ____________________________________
I. MULTIPLE CHOICE.
Direction: Write the LETTER of the correct answer on the space provided before each number.
For items 1-5, refer to the table below:
Principal (P) Rate (r) Time (t) Interest (I)
10, 000 8% 15 (1)
(2) 2% 5 10, 000
360, 000 (3) 2 3, 600
500, 000 10.5% (4) 175, 500
880, 000 9.25% 2.5 (5)
______ 1. a. 12,000 b. 10,000 c. 2,000 d. 8,000
______ 2. a. 100,000 b. 1,000 c. 10,000 d. 100
______ 3. a. 2% b. 0.5% c. 5% d. 0.2%
______ 4. a. 4.43 b. 4.33 c. 3.34 d. 3.44
______ 5. a. 203,500 b. 302,500 c. 500,302 d. 500,203
______ 6. Describe proposition.
a. It is a declarative sentence. c. It is an exclamatory sentence.
b. It is an interrogative sentence. d. It is an imperative sentence.
______ 7. Symbolize the proposition: “If 𝒑: 𝑱𝒆𝒇𝒇𝒓𝒆𝒚 𝒉𝒂𝒔 𝒇𝒂𝒊𝒓 𝒔𝒌𝒊𝒏, then 𝒒: 𝒉𝒆 𝒊𝒔 𝒉𝒂𝒏𝒅𝒔𝒐𝒎𝒆.”
a. 𝑞 → 𝑝 b. 𝑝 → 𝑞 c. 𝑝⋀𝑞 d. 𝑝 ∨ 𝑞
______ 8. Describe the difference between simple and compound propositions.
a. The number of proposition. c. The type of sentences.
b. The number of persons involved. d. The type of symbols used.
______ 9. What is the truth value of conditional proposition 𝑝 → 𝑞?
a. It is only false when 𝑝 is false and 𝑞 is true.
b. It is only false when 𝑝 is true and 𝑞 is false.
c. It is only true when 𝑝 is true and 𝑞 is false.
d. It is only true when 𝑝 is false and 𝑞 is true.
______ 10. What is the truth value of proposition 𝑝 ∧ 𝑞?
a. It is only false when 𝑝 is false and 𝑞 is true.
b. It is only false when 𝑝 is true and 𝑞 is false.
c. It is only true when 𝑝 is true and 𝑞 is false.
d. It is only true when 𝑝 is false and 𝑞 is true.
______ 11. What is the truth value of proposition 𝑝 ∨ 𝑞?
a. It is only false when 𝑝 is false and 𝑞 is true.
b. It is only false when 𝑝 is true and 𝑞 is false.
c. It is only true when 𝑝 is true and 𝑞 is false.
d. It is only true when 𝑝 is false and 𝑞 is true.
______ 12. Merly borrowed Php 200,000.00 from FICCO with a simple interest rate of 2%. How long
will it take to earn an interest of Php 2400.00?
a. 3 yrs b. 4 yrs c. 5 yrs d. 6 yrs
______ 13. Damon saved Php 50,500.00 in a bank with 0.43% interest rate compounded annually.
Solve for the maturity value of his savings after 10 years.
a. 52,714 b. 1,805,725.59 c. 52,714 d. 1,805,275.59
______ 14. Jezzy borrowed a certain amount of money from his friend Dwayne. After 2 years, he
returned the money with Php 1,500 interest. Determine the principal amount borrowed if
it has a simple interest rate of 5%.
a. 5,000 b. 15,000 c. 51,000 d. 500,000
______ 15. Given a principal amount of Php 3,500 and a simple interest rate of 1.2% for 15 years.
Solve for the simple interest.
a. 878.50 b. 887.50 c. 787.50 d. 778.50
For items 16-20, refer to the propositions below.
𝒑: 𝑱𝒂𝒏𝒓𝒆𝒆 𝒊𝒔 𝒔𝒍𝒆𝒆𝒑𝒊𝒏𝒈.
𝒒: 𝑬𝒖𝒎𝒊𝒓 𝒊𝒔 𝒆𝒂𝒕𝒊𝒏𝒈.
______ 16. Which of the following statements is the conjuction?
a. Janree is sleeping and Eumir is eating.
b. Janree is sleeping or Eumir is eating.
c. If Janree is sleeping then Eumir is eating.
d. Janree is sleeping if and only if Eumir is eating.
______ 17. Which of the following statements is the implication?
a. Janree is sleeping and Eumir is eating.
b. Janree is sleeping or Eumir is eating.
c. If Janree is sleeping then Eumir is eating.
d. Janree is sleeping if and only if Eumir is eating.
______ 18. Which of the following statements is the disjunction?
a. Janree is sleeping and Eumir is eating.
b. Janree is sleeping or Eumir is eating.
c. If Janree is sleeping then Eumir is eating.
d. Janree is sleeping if and only if Eumir is eating.
______ 19. Which of the following statements is the bi-conditional?
a. Janree is sleeping and Eumir is eating.
b. Janree is sleeping or Eumir is eating.
c. If Janree is sleeping then Eumir is eating.
d. Janree is sleeping if and only if Eumir is eating.
______ 20. What is the symbol for this statement: “If Eumir is not eating, then Janree is sleeping”.
a. 𝑝 → 𝑞 b. 𝑞 → 𝑝 c. ~𝑞 → 𝑝 d. ~𝑝 → 𝑞
II. PROBLEM SOLVING
Direction: Answer the following as indicated. (5 points each)
1. Solve the following problem on simple interest. Show your complete solution.
a. Angel deposited Php 20,000 in a bank that pays 0.5% simple interest. How much will
be her money after 6 years?
b. Justin borrowed Php 5,000 at 5% annual simple interest rate. If he decided to pay
after 1 year and 3 months, how much should he pay by then?
2. Construct the truth table of the following:
a. (𝑝⋀(~𝑞)) ⋀ (𝑝 ∧ 𝑞) b. ((𝑝 → 𝑞) ⋀ 𝑞) → 𝑝
“The fear of the Lord is the beginning of wisdom.”
