Republic of the Philippines
Department of Education
REGION III-CENTRAL LUZON
REGIONAL MID-YEAR ASSESSMENT
GRADE 11-GENERAL MATHEMATICS
Name: ______________________________________
Grade/Section:_____________________________
Date: ______________
Score:______________
Directions: Read each item carefully. Choose the letter of the best answer and write it on your answer
sheet.
For items 1 to 3, refer to the problem below.
As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga
City. He used previous data to make models that could describe the relationship between number of
customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =
420x-250, while the income for product B is given by B(x) = 250x + 35.
1. For product C, Mr. Cruz determines that the function C(x) can be found by multiplying the number
of customers by
P120. Which of the following represents the function C?
A. C(x) = x + 120
B. C(x) = x - 120
C. C(x) = 120x
120
D. C(x) =
𝑥
2. How much will be the total sales from product A and B in a certain period of time?
A. 670x - 215
B. 670x - 285
C. 670x + 215
D. 650x + 285
3. During the celebration of the Philippine Independence Day on June 12, 2021, the store had a record
high in terms of both number of customers and sales. If on that day, the store received 200 customers,
what was the total sales for Product A?
A. P190.00
B. P4,750.00
C. P48,190.00
D. P83,750.00
For numbers 4-6, refer to the problem below.
Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this
ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular
canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.
4. Which represents the ratio of the length to the width of the rectangular canvas?
A. 54x-4
B. 5x+84x-2
C. (5x+8) – (4x-2)
D. (4x-2) + (5x+8)
5. Suppose the ratio,
4𝑥−2
5𝑥+8
is equal to ½. What is the value of x?
A. 2
B. 4
C. 6
D. 8
6. In one of her exhibits, the ratio of the sides of the canvas is given by f(x) =
2𝑥+1
𝑥−2
. What is the
domain of the rational function?
A. {x ∈ R ∣ x ≠ -2}
B. {x ∈ R ∣ x ≠ -12}
C. {x ∈ R ∣ x ≠ 12}
D. {x ∈ R ∣ x ≠ 2}
7. What is the x- intercept of the graph of f(x)=
2𝑥+1
𝑥−2
?
A. 1/4
B. -1/2
C. 2
D. 4
2𝑥+1
8. Which of the following is the y-intercept of the graph of the rational function f(x) = 𝑥−2 ?
A. -12
B. -1
C. 12
D. 2
9. The denominator of a fraction is 2 more than the numerator. If 1 is subtracted from both numerator
and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
A. 1/3
B. 3/5
C. 5/7
D. 7/9
10. Which of the following is a one-to-one function?
A. Student to LRN
B. Teacher to students
C. An even number to its factors
D. Yes or No questions to answers
11. Which of the following functions is the inverse of f(x)=3x-2?
A.
B.
C.
D.
(f-1) x= x2x-3
(f-1) x= x2x+3
(f-1) x= 2x-3x
(f-1) x= 2x+3x
12. Marvin knows that to convert Celsius to Fahrenheit, he needs to multiply the given C by 9, divide
the answer by 5 and then add 32. One time her mother called Marvin and told her that the temperature
of his younger brother is 105.8 degrees Fahrenheit. Knowing only the formula to convert C to F and
that the normal body temperature is 37 degrees Celsius and below, should Marvin be worried about his
brother?
A. No. The brother has no fever at all.
B. Yes. His brother has a high fever.
C. Yes. His brother is nowhere to be found.
D. No. There is someone to take care of the younger child.
13. The COVID-19 pandemic has changed many aspects of human life. To show how fast the virus
spreads, Teacher Thelma makes a simple illustration, starting from 1 person infecting 2 others which
in turn infect four more. She then explains how this rate can be explained using an exponential
function. Which of the following illustrates the number of new cases?
A. 1, 2, 4, 6, 8, 10, 12,…
B. 1, 2, 4, 8, 16, 32, …
C. 1, 2, 4, 64, 256,…
D. 1, 2, 4,16, 64,…
14. Suppose 5 > 125, what is x?
A. x = 1
B. x < 1
C. x > 1
D. x ≥ 1
2x+1
15. What is the asymptote of the graph of f(x)= 3x+1?
A. y = -1
B. y =1/3
C. y = 0
D. y = 3
16. Teacher Thelma told her class about the element Francium which has a half-life of 22 minutes. If
at a certain point a container has 100 grams of this element, how much of it will remain after 1 hour
and 6 minutes?
A. 12.5g
B. 25g
C. 50g
D. 75g
17. The spread of the virus in a certain town can be predicted using the function f(x)= 3x+1 where f
is the number of new cases and x is the number of days after transmission was initially detected. On
what day can we start to expect the number of new cases to be over a thousand?
A. 5 day
B. 6 day
C. 7 day
D. 8 day
th
th
th
th
18. The magnitude (R) is determined by the logarithm of the ratio of the measure of the amplitude of
the earthquake wave (A) and the amplitude of the smallest detectable wave (Ao). Which of the
following represents the function for the Richter scale?
A. R=log (A)(Ao)
B. R= log (A/Ao)
C. R= log (Ao/A)
D. R= log (Ao) /A
19. Which of the following is the correct logarithmic form of 3- 4 = 1/81? Type equation here.
A. log3 1/81 = -4
B. log3 -4 = 1/81
C. log1/81 3 = -4
D. log1/81 -4 = 3
20. Solve the inequality log3 (2x-3) < 2.
A. x3/2 < x < 2
B. 2/3 < x < 2
C. 3/2 < x < 6
D. 2/3 < x < 6
21. What equation could represent the logarithmic function (1, 0) (5, 1) (25, 2) (125, 3),…?
A. y=log5 x
B. x=log5 y
C. y=logx 5
D. x=logy 5
22. Given the logarithmic function D(m)= log3 (m+5), which of the following CANNOT be a value
of m?
A. m = -6
B. m = -2
C. m = 2
D. m = 6
23.What is the vertical asymptote of the logarithmic function f(x)= log4 x?
A. x = 0
B. x = 1
C. x = 2
D. x = 4
24. If log 2 = 0.301 and log 3 = 0.477, find log 24.
A. 0.778
B. 1.380
C. 1.732
D. 2.334
25. Solve for x: logb x=4 logb 2+ logb 3
A. 12
B. 24
C. 36
D. 48
For items 26-30, refer to the problem below
Wars do nothing but claim the life, peace, or happiness of all people involved. Countries exert
effort to keep their economies stable. Businessmen will also try to keep their businesses open and
keep up with the current market trend. For example, Mr de Guzman decides to take a loan of
P5,000,000 to buy the raw materials for his factory.
26. Which of the following best illustrates a simple interest on Mr de Guzman's loan?
A. For each year, the interest and the principal accumulate.
B. After each year the principal amount will incur a fixed amount of interest.
C. During the first year, there will be 1% interest, 2% interest for the second year and 3% interest for
the third year and so on.
D. After a year, the principal amount will be charged the interest rate. For the second year, the new
principal amount will be the principal plus the interest for the first year.
27. Suppose the loan of Mr. De Guzman is given a simple interest rate of 10% per year by Bank A,
how much will be the interest for the first year?
A. P500.00
B. P5000.00
C. P50,000.00
D. P500,000.00
28. Suppose Bank B is offering Mr. De Guzman 8% annual interest rate compounded semi-quarterly,
while Bank C offers 6% interest rate compounded monthly. What is the interest earned by the money
after 1 year if he chooses Bank B?
A. P408.00
B. P4,080.00
C. P40,800.00
D. P408,000.00
29. If Mr. De Guzman is to take the offer of Bank C, what will be the maturity value of his loan after
two years?
A. P 5,362,463.00
B. P 5,632,463.00
C. P 5,635,799.00
D. P 5,935,799.00
30. Which of the three banks should Mr. De Guzman choose for his loan if he plans to pay it after a
year?
A. Bank A
B. Bank B
C. Bank C
D. Either A or C
31. Which of the following illustrates a simple annuity?
A. Mr. Reyes pays P5,000.00 monthly and his money earns monthly interest.
B. Mr Reyes pays P5,000.00 monthly and his money earns yearly interest.
C. Mr. Reyes pays P5,000.00 yearly and his money earns monthly interest
D. Mr Reyes pays P5,000.00 yearly and his money earns quarterly interest.
32. If Mr. Reyes pays ₱100.00 at the end of each month for 30 years on an account that pays interest at
10% compounded monthly, how much money will he have after 30 years?
A. P226,048.80
B. P236,048.80
C. P246,048.80
D. P256,048.80
33. Mr. Reyes received two offers for a lot he is selling. Company A offers payments of P50,000.00
downpayment and P1,000,000.00 lump sum payment after 5 years from now. Company B offered
P50,000.00 downpayment plus P40,000.00 quarterly payments for 5 years. Compare the fair market
value of the two offers if the money can earn 5% compounded annually. Which offer has a higher
market value?
A. Company A
B. Company B
C. Both offers are good
D. No offer is good enough
34. What is the period of deferral for a monthly payment of P75,000.00 for 4 years that will start 8
months from now?
A. 6 periods or 6 months
B. 7 periods or 7 months
C. 8 periods or 8 months
D. 9 periods or 9 months
35. Which of the following shows what stocks are?
A. Mr. Dimagiba is a retiree and stocks guarantee a fixed income for him.
B. This is a scheme where Mr. Dimagiba can borrow money from investors.
C. Mr. Dimagiba guarantees investors of interest payments and a return of their money at the
maturity date.
D. Mr. Dimagiba sells part of his company to investors and allows them to be part owners of
the company.
36. Which is true about the difference between stocks and bonds?
A. Stocks have high risk while bonds offer lower risk.
B. Stocks tend to have higher income than bonds.
C. Statements A and B are both correct.
D. Statements A and B are both wrong
For items number 37-38, refer to the table below.
The table below shows data of Stock GGG of Company X.
52-WK
52-WK
VOL
HIGH
LOW
STOCK DIV YLD(%) (100S)
120
105 GGG
3.5
2.8
4050
CLOSE
118.5
NETCHANGE
-0.5
37. What was the lowest price of stock GGG in the past 52 weeks?
A. 3.5
B. 105
C. 120
D. 118.5
38. What was the dividend per share last year?
A. 3.5
B. 105
C. 120
D. 118.5
39. It is a method of paying a loan (principal and interest) on installment basis usually of equal amounts
at regular interval.
A. Collateral
B. Mortgage
C. Amortization
D. Chattel Mortgage
40. Mr Sy borrowed P350,000.00 and he promised to pay in full after 3 years. If the interest rate is
7.5% compounded annually, how much should be paid after 3 years?
A. P243,652.73
B. P374,986.35
C. P434,803.91
D. P556,497.67
41. Suppose your loan for a car worth P899,000.00 requires a 20% down payment. How much is the
mortgage?
A. P179,800.00
B. P359,600.00
C. P539,400.00
D. P719,200.00
42. Three friends are talking about their future dreams. The following are excerpts of their conversation.
Which illustrates a proposition?
A. Linda: Wow!
B. Mario: I will become a doctor.
C. Luigo: What do you want to be when you grow up?
D. Luigo: Why not become a teacher like your mother?
43. Given propositions
p: Mathematics is difficult.
q: Logic is Fun.
r: I love Math.
Which statement corresponds to ~ q?
A.
B.
C.
D.
Logic is easy.
Logic is boring.
Logic is not fun.
Logic is not difficult.
44. Given propositions
p: Mathematics is difficult.
q: Logic is Fun.
r: I love Math.
Which statement corresponds to p - > ~ r?
A.
B.
C.
D.
If mathematics is difficult then I love math.
If I love mathematics, then math is difficult.
If I love mathematics, then math is not difficult.
If mathematics is difficult then I do not love math.
45. What symbolic form corresponds in the proposition “Either math is difficult or I love math”?
A. p ∨ r
B. p ∧ q
C. p ∨ ~ r
D. p ∧ ~ q
46. Given the propositions:
p: Elma is a teacher.
q: Arvin is a doctor.
If both propositions are true, what is the truth value of the proposition Elma is a teacher and
Arvin is not a doctor?
A. True
B. False
C. Either true or false.
D. Not enough information
47. Given the propositions:
p: Elma is a teacher.
q: Arvin is a doctor.
If proposition p is false while q is true, what is the truth value of the compound proposition
Arvin is not a doctor
or Elma is a teacher?
A. True
B. False
C. Either true or false.
D. Not enough information
48. Which of the following is False if p is true and q is false?
A. p ∨ q
B. p → q
C. ~ p ↔ q
D. ~ p → q
49. Which of the following is the converse statement of the conditional proposition “If the test is easy,
then Diane will pass the test”?
A. If Diane will pass the test, then the test is easy
B. If Diane will pass the test, then the test is not easy
C. If Diane will not pass the test, then the test is easy
D. If Diane will not pass the test, then the test is not easy
50. Which of the following is a tautology?
A. The laptop is hot.
B. The singer is good.
C. I came to you for help.
D. I made this with my own hand.
Answer Key for SHS
Grade 11- General Mathematics
1. C
2. A
3. D
4. B
5. B
6. D
7. B
8. A
9. B
10. A
11. D
12. B
13. B
14. C
15. C
16. A
17. C
18. B
19. A
20. C
21. A
22. A
23. A
24. B
25. D
26. B
27. D
28. D
29. C
30. C
31. A
32. A
33. A
34. B
35. D
36. C
37. B
38. A
39. C
40. C
41. D
42. B
43. C
44. D
45. A
46. B
47. A
48. B
49. A
50. D