T ( n ) = − n ² + 10 n + 26.

The quadratic function is T ( n ) = − n 2 + 10 n + 26 T(n) = -n^2 + 10n + 26 T ( n ) = − n 2 + 10 n + 26 .

Step 1: Identify the given function: T ( n ) = − n 2 + 10 n + 26 T(n) = -n^2 + 10n + 26 T ( n ) = − n 2 + 10 n + 26 . Step 2: This function represents a quadratic equation in the form T ( n ) = a n 2 + b n + c T(n) = an^2 + bn + c T ( n ) = a n 2 + bn + c . Step 3: Compare the coefficients: a = − 1 a = -1 a = − 1 , b = 10 b = 10 b = 10 , c = 26 c = 26 c = 26 .

Alternative Learning System

Anything about Alternative Learning System (ALS) Accreditation & Equivalency ( A & E) Program of the Department of Education (DepEd) of the Philippines in line with the K to 12 Basic Education Curriculum.

Friday, April 30, 2021

Sample als functional literacy test (flt) - ls 3 - mathematical and problem solving skills - mathematics.

  FUNCTIONAL LITERACY TEST (FLT) 

JUNIOR HIGH SCHOOL LEVEL 

mathematical and problem solving skills encircle the letter of the correct answer

 GENERAL DIRECTIONS  

 The Functional Literacy Test consists mostly of Multiple Choice items.  For each item select your answer from the options given.  On your answer sheet, encircle the letter of your chosen answer.  For example, if your answer to an item is option C, then  encircle letter C  as shown below.  

mathematical and problem solving skills encircle the letter of the correct answer

Make sure you are marking the answer columns corresponding to the item number you are on.  Mark only one answer for each item.  If you want to change the answer, erase the first answer completely.  Items with multiple answers are considered wrong. 

 FUNCTIONAL LITERACY TEST

Junior High School

For some items in LS1 English and LS1 Filipino you will be required to write your answers with a phrase, sentences, or paragraphs on the corresponding numbers on the answer sheet. 

 Do not write anything on the test booklet. 

 Follow carefully the specific directions for each test part, from LS1 to LS6.  Make sure that you use the answer sheet corresponding to the test part.  When you finish a part, go on to the next, until you finish the whole test.  The time allowed for the whole test is 1-1/2 hours.  If you finish ahead of time, review your answers.  Then turn your booklet face down and wait for further instructions. 

LS3: MATHEMATICS AND PROBLEM SOLVING SKILLS

Directions : Read each item. Encircle the letter of the correct answer on the answer sheet provided for LS3.

1. What is the difference between Set A and Set B? 

Set A = { X, X, X, X, X, X, X, X, X, X, X, X, X, X, X}

Set B = { X, X, X, X, X }

A) 20 

2. Which of the following is correct?

A)  3/4 <  6/8

B)  25%  =  1/4

C)  0.45   >   1/2

D)  3/5 =   9/20

3. Maribeth wants to buy a new cell phone priced at P 5,690.00. How much more she needs if she already saved P 3,845.00?

A) P 1,845.00

B) P 1,955,00

C) P 2,845.00

D) P 2,965.00

4. The quotient of 128,790 and 53 is ?

A) 6,825,870 B) 128, 843 C) 128, 637

5. Julius obtained a loan from ABC Cooperative. He has to pay P 2,350.00 monthly to the Cooperative for 7 months. How much is the loan including interest?

A)  P 14,100.00

B) P 16,450.00

C)P 17,350.00

D) P18,800.00

6. Mang Gusting is a member of a "Paluwagan" scheme in his place of work. Last January, his total contribution amounted to P 22,500.00. In February, he withdrew P 5,500.00. How much did he contribute this March if his balance at month end was P 24,250.00?

A) P 7,250.00

B) P 7,350.00

C) P 8,250.00

D) P 8,550.00

7. Robert sells banana cue for P 15.00 a piece. To earn P 5,550.00, how many pieces of banana cue should he sell?

A)  350 B)  360

C)  370

D)  380

8. In a Kindergarten class, the ratio of girls to boys is 5:3.  If there are 15 boys, how many are girls?

C) 30 

9.  In 8 years, Ramon's age will be three times his age today. What is the correct equation to show this?

A)  3x  = 8 - x

B) 3x/8 = x

C) 3x + 8 = x

D)  x + 8 = 3x

10. Find the perimeter of the figure below if one side equals 9 cm?

mathematical and problem solving skills encircle the letter of the correct answer

B)  63 cm

C)  72 cm

D)  81 cm

11. Dorie's Sari-Sari Store paid  P714.495 to Meralco last month. If the rate is P 6.213 per kWh, how many kW was consumed by the store?

A)  105

B)  110

C)  115

D)  125

12. Mrs. Ramos office is on the 18th floor. To have her lunch in the office canteen, he has to to 5 floors down. In which floor is the canteen?

A)  23rd

B)  22nd

C)  13th

D)  12th

13. There are 762 fourth year students at Pag-asa National High School. If the total students is 2,540 , what percent are not fourth year students?

A)  25%

B)  30%

C)  60% 

D)  70%

14.  From the same station, Train A travels 5 kph North and Train B travels 12 kph East. How far from each other the two trains after one hour?

A) 7 kilometers

B) 15 kilometers

C) 13 kilometers

D) 17 kilometers

15.   Based on the graph below, in which year the annual guitar sales in the lowest?

mathematical and problem solving skills encircle the letter of the correct answer

    Set B =  5 stars

    Set A - Set B = ?

    15 - 5  = 10 ==>C

2.  0.25 = 25/100

     1/4 = 0.25 = 25/100

        0.25 = 1/4 ==> B

3.  5,690 - 3,845 = 1,845 ==>A

     3,845 + 1,845 = 5,690

4.  128,790 divided by 53 = 2,490 ==>D

     2,490 x 53 = 128,790

5.  2,350 x 7 = 16,450 ==>B

6.  22,500 - 5,500 + x = 24,250

    17,000 + x = 24,250

    x = 24,250 - 17,000

    x  = P 7,250 ==>A

7.  5,550 divided by 15 = 370==>C

8.  5/3 = x/15

    3x = 75

    x = 75/3

    x = 25==>B

9.  x  = Ramon's age NOW

     x + 8 = Ramon's age in 8 years

     will be 3x his age = 3x

      x + 8 = 3x ==>D

10.  The figure is a heptagon with 7 sides

        Perimeter = total of all sides

        one side = 9 cm

        Perimeter = 9 x 7 = 63 cm==>B

11.   6,213 times X = 714.495

        6,213x = 714.485

        x = 714.495/6,213

        x = 115 kW==>C

12.   18 - 5 = 13th floor==>C

13.   4th year students = 762

        Total students = 2,540

        Percentage of 4th year students:

                762 divided by 2,540 = 0.30 x 100% = 30%

         Percentage of non-4th years students:

              100% - 30% = 70% ==>D

14.  Using the Pythagorean Theorem for Right Triangle:

       C^2 = A^2 + b^2

       C^2 = 5^2  + 12^2

      C^2 = 25 + 144

      C^2 = 169

      C =  square root of 169

      C = 13 kilometers ==>C

15.  Based on the graph, the lowest annual guitar sales was in 2014==>A

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