3rd_quarter_grade_6_math_item_bank.docx

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:

GEOMETRY

COMPETENCY: 49. Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere. CODE:

M6GE – IIIa – 27

Test I: Answer with True or False before the numbers. 1. The ball is an example of a sphere. 2. A cone has one vertex. 3. A cube has 8 edges. 4. The six faces of a cube are squares. 5. The cylinder has 3 circular faces. Test II Name what solid figures being described. Write your answer before the number. 1. It has one vertex and one circular face 2. It is a prism with a triangular face. 3. It is a space figure with a curved surface without base. 4. It has a 6 square surfaces and 12 edges 5. It has a two circular bases and a curved surface

Test III Visualize the following solid figures and complete the table. Illustration / No of faces No of edgesNo of vertex/vertices Drawing 1. Cube 2. Rectangular prism 3. Cube 4. Cylinder 5. sphere

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: COMPETENCY: CODE:

GEOMETRY

50. Differentiates solid figures from plane figures.

M6GE-IIIa-28

Test I: Write TRUE if the statement is correct and FALSE if it is incorrect to differentiate solid figures from plane figures. Put your answer in the blank. 1. Space or composed of planes that may be parallel to or intersecting each other. 2. The vertex is the common endpoint where the edges meet. 3. When we enclose a space with plane figures, the result is a space figure. 4. A paper represents a solid figure 5. Plane figures share common edges. Test II . Tell whether each of the following represents a plane or a space figure. 1. one face of a rectangular box 2. shoe box 3. a pyramid 4. a sheet of plywood 5. an aquarium

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Match Column A with column B. Write the letter of the correct answer before each number. Column A

Column B

1. It has 2 circular bases and a curved surface.

A. quadrangle or quadrelateral

2. A prism with 6 congruent faces

b. cone

3. A space figure that is like pyramid, but has a circular base.

C. Cylinder

4. A three sided polygon

d. triangle

5. A four sided polygon

e. sphere f. cube

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:

GEOMETRY

COMPETENCY: 51. Illustrates the different solid figures using various concrete and pictorial models. CODE:

M6GE-IIIb-29

Test I: Identify and illustrate the solid figures represented by the following objects below by completing the chart. Object -Globe

Solid Figures Represented

Illustration

-ice cream cone -glass -dice -shoe box

Test II Name what is described in each statement. 1. A polyhedron with at least pair of parallel faces. 2. A polyhedron with only one base. 3. A solid figure without any flat faces and can roll. 4. A space figure that is like prism, but has circular bases. 5. A space figure that is like a pyramid, but has a circular base.

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Column I are picture of solid figure. Write its name in common two, then draw a similar object you find every day that has the same shape.

1.

4.

2.

3.

5.

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: COMPETENCY: CODE:

GEOMETRY

52.Identifies the faces of a solid figure

M6GE-IIIb-30

Test I: Identify the face/s of the following solid objects below by matching column A with column B. Write your answer on the blank provided for. 1. box

a. square

2. dice

b. square triangle

3. Camping tent

c. circle

4. earth

d. square circle

5. funnel

e. circle triangle f. circle, triangle

Test II Column I are picture of solid figure. Write its name in common two, then draw a similar object you find every day that has the same shape. 1.

4.

2.

3.

5.

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Look up the picture then choose the number of flat surfaces each figure has.

1.

1. A. 6

b. 5

c. 4

d. 3

2. A. 1

b. o

c. 2

d. 3

3. A. 3

b. 4

c. 5

d. 2

4. A. 3

b. 2

c. 0

d. 1

5. A. 5

b. 3

c. 4

d. 6

2.

4.

3.

5.

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:GEOMETRY COMPETENCY:53. Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere. CODE:M6GE-IIIc-31

Test I: Name the spatial figures that resemble the following objects below. 1. box 2. ball 3. dice 4. ice cream 5. globe Test II What solid / spatial figures is described in each statement. Put your answer on the space provided for in each number. 1. A space figure that is like a pyramid, but has a circular base.

2. A curved surface without a base, all points in the curved surface are equidistant from the center of the figure.

3. A polyhedron with at least a pair of parallel faces.

4. A polyhedron with six equal faces.

5. It has two circular bases and a curved surface.

TEST III

Subject: Mathematics Grade Level: 6 Quarter: 3 Construct each spatial figure using art paper. 1. blue pyramid 2. black cone 3. yellow cube 4. green rectangular prism 5. red cylinder 6. violet sphere

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:GEOMETRY COMPETENCY:54. Identifies the nets of the following space figures: cube, prism, pyramid, cylinder, cone, and sphere using plane figures. CODE:M6GE-IIIc-32 Test I:Tell what space figure will be formed if you fold each along the broken lines.

Test II Identify the sets of the following space figures. Choose your answers below. Cylinder Square pyramid Cube Sphere Rectangular prism Cone

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Identify the nets of the following space figures by selecting the letter of the correct answer. Write it before the number.

Subject: Mathematics Grade Level: 6 Quarter: 3 GEOMETRY LEARNING CONTENT: COMPETENCY: 55. formulates the rule in finding the nth term using different strategies (looking for a pattern, guessing and checking, working backwards. CODE: M6AL-IIId-7 Test I:

Study each sequence and write the missing term 1. 3, 7, 11, 15, 19, 2. 4,7,13,25, 3. 16, 25, 36, 49, 4. 3, 7, 15, 31, 5. 38, 36, 33, 29, 24, _

Test II

Write the rule used for each sequence, then write the missing number. 1. 2, 5, 14, 41, 122 2. 1, 5, 13, ,29, 61 3. 1, 12, 34, 78, 166 4. 6, 9, 15, 27, 51 5. 2, 8, 26, 80

Test III

Study the sequence. Find the nth term. 1st 2nd 3rd 4th 1. 7, 15, 23, 31 2. 8, 9, 10, 11 3. 11, 18, 25, 32 4. 7, 10, 13 16 5. 4, 9, 14, 19

Subject: Mathematics Grade Level: 6 Quarter: 3 GEOMETRY LEARNING CONTENT: COMPETENCY: 56. Differentiates expression from equation CODE: M6AL-IIId-15 Test I: Analyse each number sentence and write expression or equation on the space provided for. 1. 34 more than a number 2. 5x6 + (9 ÷ 3) 3. 5N = 625 4. A Number - 12 5. The product of a number and 8 is 56. Test II Write these word expression into symbols. Put expression or equation before the number 1. a increased by b 2. the difference between x and y 3. three times k minus l 4. the product of 6 and d 5. the square of x diminished by y Test III Substitute the given variable with 5 and write the expression or equation before the number.

1. 2. 3. 4. 5.

10 – N 2. A + b = 10 5x – 3 = 22 5x ÷ x 3 + x = 14

Subject: Mathematics Grade Level: 6 Quarter: 3 Patterns and Algebra LEARNING CONTENT: COMPETENCY: 57. Gives the translation of real life verbal expression and equation into letters or symbols and vice versa CODE: M6AL-IIIe-16 Test I: Translate each statement to an equation or expression or vice versa. Use y for the variable. 1. Add a number to 49 and the sum is 65. 2. Decreased a number by 7 and multiply by 6. 3. Forty-eight is 4 times a number minus 12. 4. Y-16 5. (Y+4) ÷ 8 = 5 Test II Translate the following verbal phrase or sentence into expression or equation. 1. The quotient of twice an unknown number p and 7 2. Three times some number g less 48.1 3. The sum of 150 and three times the number of pages p 4. An unknown number z increased by 1.75 equals 20 5. The total of 9 and one-half of a certain number n is 29. Test III Match the verbal phrase or sentence with the correct equation or expression. Write the letter before the number. A B 1. the product of and the quotient of x and y a. n-11 = 100 2. thrice the sum of a, b and c b. 60 = 4N 3. eleven subtracted from a number equal 100 c. 5 (x÷y) 4. sixty s equal to the product of a number and 4 d. 5n = 50 2 5. five times a number divided by two equals fifty e. 3 (a+b+c) f. 2 = 50 5N

Subject: Mathematics Grade Level: 6 Quarter: 3 Patterns and Algebra LEARNING CONTENT: COMPETENCY: 58. Defines a variable in an algebraic expression and equation. CODE: M6AL-IIIe-17 Test I: Find the solution to the unknown variable. Write your answer on the space provided. 1. 9x + 3= 39 2. 3b + 15 = 30 3. 9n - 7 = 74 4. 7a + 6 = 62 5. 9x-6x+2 = 23 Test II Solve the variable in each question. 1. 3x + 19 = 46 x= 2. 5n - 18 = 22 n= 3. 9x - 65 = 61 x= 4. 6p + 5p = 88 - 22 p = 5. 7a + 8 = 12 + 38 a = Test III Put the known terms together on one side and the unknown terms on the other side of the equation. Write the new equation on the blank. Number 1 is done for you. 1. 3x + 6 = 30 3x = 30 - 6 2. 7 + 2b = 41 3. 3n = 60 + n 4. 7a + 5 = 54 5. 5 + 8y = 77 6. 6x - 42 = 12

Subject: Mathematics Grade Level: 6 Quarter: 3 Patterns and Algebra LEARNING CONTENT: COMPETENCY: 59. Represents quantities in real life situations using algebraic expressions and equations. CODE: M6AL-IIIe-18 Test I: A. Write an algebraic expression for each. Use x for the variable. 1. 5 more than twice a number 2. A number times the sum of the number and 4 3. A number less than 5 times the number 4. 45 more than a number twice itself 5. A number to third power less than the product of 9 and 26 Test II Use variable x to write an algebraic expression for each. 1. a number subtracted from 20 2. twice a number added to 32 3. 91 more than a number 4. 87 less than the number 5. a number times the difference of 12 and 9 Test III Solve the following equation / expressions. 1. Among 30 people who attended the Brgy. Council meeting there where 6 more men than women. How many more men were at the meeting? How many were women? 2. Carla is babysitting her friend’s daughter, Noella, who is 2 years younger than her brother, Josef. The total age of Noella and Josef is ten years. How old is Noella? How old is Josef? 3. A dog weighs thrice as much as the cat whose weight is 3.5kg. What is the weight of the dog? 4. There are 38 Passengers in a bus. The 12 children are 8 less than the number of teenager. The rest in the bus are adults. How many are adult passengers? 5.What will be the result if you evaluate 6xy + x - xy + 12, given x = 3 and y = 5?

Subject: Mathematics Grade Level: 6 Quarter: 3 Patterns and Algebra LEARNING CONTENT: COMPETENCY: 60. Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+9 = +6 CODE: M6AL-IIIe-19 Test I: Work in pairs. Write a simplified equation for each problem then solve. 1. Six less than thrice a number is 30. Find the number. 2. The sum of two numbers is 61. If one number is 13 more than the other, find the two numbers. 3. Six times a number minus three equals 45. What is the number? 4. Four times a number added to ten is 30. Find the number. 5. If thrice a number is increased by five, the result is twenty. What is the number? Test II Solve each word problem. 1. Eight more than a number is 14. Find the number 2. A number decreased by 12 is 19. Find the number. 3. Twenty less than Walter's age is 64. Find Walter's age . 4. Ten less than twice Jose's age is 64. Find Jose’s age. 5. Two kilograms less than twice Hank's mass is 72 kg. What is Hank's mas? Test III Solve the following problem. 1. If Louis's savings were increased by 4 times his savings, the result would be P25,000. How much has he saved? 2. If 5 kg more than 3 times Marc's mass is decreased by twice his mass, the result is 60 kg. What is Mar's mass? 3. If 4 times Roan's age is increased by 5 less than twice his age, the result is 60 kg. How old is he? 4. Seven and one-half times the number of voters in the election is 90 000. How many persons voted? 5. Sixteen less than seven times the number of sandwiches is 264. How many sandwiches ae there?

Subject: Mathematics Grade Level: 6 Quarter: 3 Patterns and Algebra LEARNING CONTENT: COMPETENCY: 61. Creates routine and non-routine problems involving numerical expressions and equations. CODE: M6AL-IIIf-20 Test I: Study the story problem given below. Complete the problem by creating a question for what is ask. Then solve the problem. 1. Diana is x years old. 5 years ago, she was 17 years old Problem 2. Two angles A and B are complimentary. Angle B is four times angle A. Problem 3. The product of two numbers is 100. One number is four times the other number. Problem 4. Ivan's age is four more than Ian's age. The sum of their ages is 52. Problem 5. The sum of two numbers is 50. One number is 6 more than the other. Problem Test II Write a simplified algebraic equation by completing each problem. then solve the equation. 1. Among who attended the barangay council meeting, there were than women. How many were men and how many were women in the meeting? 2. In November and December, Manny volunteered serving lunch in the orphanage less than Randy did. If Manny and Randy volunteered for a total of how long did each volunteer in the orphanage? 3. Meena is babysitting her niece who is than her friend's . The total age of her friend's niece and hers is . How old is Meena's niece? How old is her friend's niece? 4. Kristin brought a basket of to the home for the aged. The baske has pineapples and oranges. The more than the pineapples. How many of each kind of fruits are there? 5. Gary, Eddie, and Nestor were all candidates for president in their sports club. Gary got than Eddie, who got twice as many as Nestor.

Subject: Mathematics Grade Level: 6 Quarter: 3 There were counted in all. How many votes did each candidate get? Test III Create a problem out of the information below. 1. basket of 28 fruits . The basket had pineapples and oranges. oranges were 6 times more than the pineapples. ? 2. weighs half as much as her father, who weighs 89 kg. . 3. , Noella, who is two years younger than her brother, Josef. total age of Noella and Josef is 10 years. _ . 4. Among 30 people who attended the barangay council meeting, there were 6 more than women. ? 5. A group of 17 teachers and students . The number of teachers is 19 less than twice the number of students. .

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:

Measurement

COMPETENCY:

62. Calculates speed, distance, and time.

CODE:

M6AL-IIIf-20

Test I

Test II Complete the data. 1 .car A 2. car B 3. car C 4. car D 5. car E

Rate 80 km/h 90 km/ h km/h km/h 40 km/h

Time 3h 1.5 h 5h 3.25 h

Distance 200 km km 120 km 300 km km

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Solve for the distance. 1. A taxi driver drove 62km/h for 3 1/2 hours. What was the distance travelled by the taxi? 2. Teachie travelled from Manila to Bulacan for 2.75 hours at an average rate of 75 km/h. How many kilometres did Techie travel? 3. How far can a bus cover if he driver drove all he rate of 60km/h for 5 hours?

Test III Solve for the distance. 1. A taxi driver drove 62km/h for 3 1/2 hours. What was the distance travelled by the taxi? 2. Teachie travelled from Manila to Bulacan for 2.75 hours at an average rate of 75 km/h. How many kilometres did Techie travel? 3. How far can a bus cover if he driver drove all he rate of 60km/h for 5 hours? 4. A boy took a bicycle trip from home to school at the rate of 8km/h. When he returned home, is rate is 8.6 km/h due to the heavy traffic. If he time spent for the round trip bicycle ride is 2.75 hours, how far did he travel from home to school and back home? 5. An ambulance ferried a car accident victim to the hospital at an average rate of 105 km/h. The trip took 1 1/4 hours. How many kilometres did the ambulance travel?

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 63. Solves problems involving average rate and speed. CODE: M6ME-IIIg-18 Test I: Collaborative Learning - Working in team of four. Find the average, rate and speed of the following problems. 1. If a car travels 400 meters in 20 seconds, how fast is it going? 2. If you move 50 meters in 10 seconds, what is your speed? 3. How much time will it take for a bus to travel 5 meters across the floor if it is traveling at 1 m/s? 4. You need to get to class 200 meters away and you can only walk in the hallways at about 1.5 m/s. How much time will it take to get to your class? 5. How far can you get away from your little brother its squirt gun filled with paint if you can travel at 3 m/s and you have 15 seconds before he sees you?

Test II Solve for the rate. 1. Two passenger busses that are 520 km apart left the garage at 5:00 a.m. They are travelling toward each other. Bus A moves at the rate of 68 km/h, which is twice the speed of Bus B. If the 2 buses met at 7:00 a.m., what is the average speed of the faster bus? 2. Two buses left the terminal at the same time. Bus A travels to the east, while Bus B travels to the west. After 4 hours, the buses are 520 km apart. If Bus A travels 15 kph faster than Bus B, find the average speed for each bus.. 3. A plane left at the NAIA terminal I Airport at 8:00 a.m. and landed at the Zamboanga International airport at 9:45 a.m. If the distance between NAIA Terminal I Airport and Zamboanga International Airport is 2 824 km, what was the average rate of speed of the airplane?

Subject: Mathematics Grade Level: 6 Quarter: 3 4. Teresita started driving her car at 7:00 a.m. She reached her destination at 11:00 a.m. She was able to cover a distance of 210 km. What was Teresita's average rate of sped in km/h? 5. A train left the station and traveling towards the Bicol Region. Four hours later, a second train left for Bicol with an average speed of 45 km/h and was able to catch up the 1st train after travelling for 3 1/2 hours. How fast was the first train?

Test III Calculate for the time. 1. Michael scheduled a trip to Cebu on Christmas season. The plane flew at an average rate of 480 km/h and after travelling 2 850 km, his plane touched down. What was Michael's travel time from Manila to Cebu? 2. Two boys on motorbike on a motorbike left their house at 4:00 o'clock early morning and travelled in opposite directions. Each has an average speed of 22km/h and 18 km/h, respectively what is the expected time when they be 80 km apart? 3. Jorge and Carl both left their homes travelling 65 km/h and 70 km/h, respectively. The distance between their homes is 498 km. At what time did they leave their homes? 4. Two airplanes took off at the same time at two different airports. At a certain time, they passed each other going in opposite directions, one having a speed of 290 km/h and the other having 260 km/h. How much time elapsed until they are 1 600 km apart after they have passed each other? 5. Two mountain climbers started to walk towards the mountain at the same time. They are 8 km apart from each other and one of them records a speed of 2.5 km faster than the other. How fast is the slower mountain climber if they meet 3 hours later?

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 63. Solves problems involving average rate and speed. CODE: M6ME-IIIg-18 Test I: Collaborative Learning - Working in team of four. Find the average, rate and speed of the following problems. 1. If a car travels 400 meters in 20 seconds, how fast is it going? 2. If you move 50 meters in 10 seconds, what is your speed? 3. How much time will it take for a bus to travel 5 meters across the floor if it is traveling at 1 m/s? 4. You need to get to class 200 meters away and you can only walk in the hallways at about 1.5 m/s. How much time will it take to get to your class? 5. How far can you get away from your little brother its squirt gun filled with paint if you can travel at 3 m/s and you have 15 seconds before he sees you?

Test II Solve for the rate. 1. Two passenger busses that are 520 km apart left the garage at 5:00 a.m. They are travelling toward each other. Bus A moves at the rate of 68 km/h, which is twice the speed of Bus B. If the 2 buses met at 7:00 a.m., what is the average speed of the faster bus? 2. Two buses left the terminal at the same time. Bus A travels to the east, while Bus B travels to the west. After 4 hours, the buses are 520 km apart. If Bus A travels 15 kph faster than Bus B, find the average speed for each bus.. 3. A plane left at the NAIA terminal I Airport at 8:00 a.m. and landed at the Zamboanga International airport at 9:45 a.m. If the distance between NAIA Terminal I Airport and Zamboanga International Airport is 2 824 km, what was the average rate of speed of the airplane?

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Subject: Mathematics Grade Level: 6 Quarter: 3 4. Teresita started driving her car at 7:00 a.m. She reached her destination at 11:00 a.m. She was able to cover a distance of 210 km. What was Teresita's average rate of sped in km/h? 5. A train left the station ad traveled reaching towards the Bicol Region. Four hours later, a second train left for Bicol with an average speed of 45 km/h and was able to catch up the 1st train after travelling for 3 1/2 hours. How fast was the first train? Test III Calculate for the time. 1. Michael scheduled a trip to Cebu on Christmas season. The plane flew at an average rate of 480 km/h and after travelling 2 850 km, his plane touched down. What was Michael's travel time from Manila to Cebu? 2. Two boys on motorbike on a motorbike left their house at 4:00 o'clock early morning and traveled in opposite directions. Each has an average speed of 22km/h and 18 km/h, respectively What is the expected time when they are 80 km apart? 3. Joerge and Carl both left their homes travelling 65 km/h and 70 km/h, respectively. The distance between their homes is 498 km. At what time did they leave their homes? 4. Two airplanes took off at the same time at two different airports. At a certain time, they passed each other going in opposite directions, one having a speed of 290 km/h and the other having 260 km/h. How much time elapsed until they are 1 600 km apart after they have passed each other? 5. Two mountain climbers started to walk towards the mountain at the same time. They are 8 km apart from each other and one of them records a speed of 2.5 km faster than the other. How fast is the slower mountain climber if they meet 3 hours later?

131

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 64. Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle CODE: M6ME-IIIg-18

Test I: What is the area of the unshaded region? Choose from the box.

OPTION a.28.26

e. 30 cm2

b. 41.72

f. 40 m2

c. 1175 cm2 d. 32 m2

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Subject: Mathematics Grade Level: 6 Quarter: 3 Test II Find the area of each composite figure.

Test III Find the area of the shaded parts.

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Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 65. Solves routine and non-routine problems involving area of composite figures formed by any two or more of the following: triangle square, rectangle, circle, and semi-circle. CODE: M6ME-IIIh-90 Test I: Solve the problems. Answer the questions below. 1. A 12 m by 6 m portion of the Barangay hall will be divided to make one big conference room and a small snack room, the width of both rooms is the same but the length of the big room is twice as long as the small one . What is the area of the small room? Big room? A. What is asked? B. What are given? C. What operations used? D. What is the hidden question? E. What is the number sentence F. What is the answer? 2. How many 2 m by 3m roll of grass can cover a 42 sq. m ground? A. What is asked? B. What are given? C. What operations used? D. What is the hidden question? E. What is the number sentence F. What is the answer? 3.The carpenter is building a window area of a house that is 10% of the floor area. If the floor is 9m long and 8m wide, what is the area of the window? A. B. C. D. E. F.

What is asked? What are given? What operations used? What is the hidden question? What is the number sentence What is the answer?

134

Subject: Mathematics Grade Level: 6 Quarter: 3 4. How many triangles with a 3 cm and a 4 cm height can you get from a parallelogram whose base is 9cm and whose height is 4 cm?

A. What is asked? B. What are given? C. What operations used? D. What is the hidden question? E. What is the number sentence F. What is the answer? 5. The diameter of a circular swimming pool is 20 meters. The walk around the pool is 2 meters wide. What is the area of the walk alone? A. B. C. D. E. F.

What is asked? What are given? What operations used? What is the hidden question? What is the number sentence What is the answer?

Test II Solve each problem. 1. If the area of rectangle is 60 cm2 and the width is 5 cm, find the length of the rectangle. 2. If the perimeter of a square is 20 cm. Find its area. 3. If the circumference of a circle is 10 𝜋 cm, find its area. 4. If the area of square is 121 cm2, find the length of a side of a square. 5. A rectangular driveway 12 m long and 4.5 m wide is to be covered by similar square tiles of sides 25 cm each. Find the number of tiles needed to cover the driveway.

135

Subject: Mathematics Grade Level: 6 Quarter: 3 Test II Answer each. 1. Several squatters seek the permission of their barangay to allow them to plant on a 24 m by 24 m lot. If each squatter will use a 3 m by 3 m plot, how many plots will there be. 2. The barangay council passed a resolution to convert an idle piece of land that measures 26 m on one side and 31 m on the opposite side while the measure across is 18 m to a medicinal garden. What is the area of the land? 3. A councilmen sponsored a resolution to make all NO PARKING signs to be triangular in shape that measure 30 cm on its base and with a height of 32 cm. Give the area of NO PARKING sign. 4. Our barangay parking space measure 8 m across. One side is 12 m while the opposite side is 9 m. What is its area? 5. It was unanimously approved by the councilmen that a square mini fish pond whose side is 3 m. be constructed at the 9 m by 8 m barangay hall backyard. What will be the area of the backyard excluding the mini fish pond?

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Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 66. Visualizes and describes surface area and names the unit measure used for measuring the surface area of solid/space figures. CODE: M6ME-IIIi-91 Test I: Visualize or draw the following figures below and tell the unit of measure used for measuring their surface area 1. box of chocolate

l= 6cm w=2cm h=4cm

2. tin can

r= 6m h= 4cm

3. ice cream cone 4. tent with square base 5. square box of chocolate

d = 10 dm h= 5dm side of the base = 8m h = 10m Side 8 cm

Test II Read and answer each problem below 1. For a rectangular prism, at least how many areas do you need to know to get the surface area of the prism? 2. How will you get the surface area of a cube whose one side measures 2cm? 3. How many faces does a square pyramid have? How will you get its surface area if its lateral faces are congruent? 4. Explain how you will get the surface area of a can of milk? 5. What is the surface area of a ball whose diameter is 20cm?

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Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Read and solve the following problems: 1. A triangular prism measures 10 cm by 15 cm by 16 cm. What unit of measure should we use in finding its surface area? Why? 2. You are to wrap a box to make it beautiful. What measuring device will use to find out how much wrapper is needed? What is the appropriate unit of measure? 3. A cylinder of radius 9cm and a height of 20cm has a surface area of 1,639.08 cm2. what is missing in the situation presented? 4. Ricky has a wooden trunk 7dm by 4 dm by 5 dm. He wants to varnish it all over on the outside. a. What area will be vanished? b. What is wrong with the problem? c. What is the surface area of the wooden trunk?

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Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 67. Derives a formula for finding the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres. CODE: M6ME-IIIi-92 Test I: Read the problems carefully and find the surface area formula of the following problems. Match column A with column B. Write the letter of your answer before the number A 1. Find the surface area of a square pyramid if the length of one side of the base is 2.4m and the height of the triangular face is 4.9 m. 2. Find the surface area formula of a rectangular prism if the length is 2m, the width is 3m and the height is 4m. 3. The side of a cube measures 25 cm. What is the formula for the surface area of the cube. 4. The radius of a spherical tank is 1.5m. Find its surface area formula. 5. A pyramid has a square base of side 15 cm and height of 14cm. Find the surface area formula of the pyramid.

B a.2(LW+LH+WH) b. 𝑆26 c. ab+c(b+d+e) d. 4𝜋𝑟2 e. A1+A2+A3+A4+A5 f. A1+A2+A3

Test II Give the surface area formula for each given spatial figure. 1. Cube 2. Sphere 3. Triangular prism 4. Cylinder 5. cone

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Subject: Mathematics Grade Level: 6 Quarter: 3 Test III Substitute the formula for the following space figure with the given data ANSWER USING THE SUBSTITUTION 1. cube with s = 8m SA = 6s2 2. Rectangular Prism L = 20 cm W = 15 cm H = 12cm SA = 2 LW + 2 LH + 2 WH 3. Cylinder R = 6cm h = 5cm SA = 2πr2 + 2πrh 4. Cone r= 8 cm h= 5cm SA=πr2 + πrh 5. Sphere r=8m SA = 4πr2

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: Measurement COMPETENCY: 68.1 Finds the surface area of cubes, prisms, and pyramids CODE: M6ME-IIIi-93 Test I: Study the figure, get the surface area of each figure. Choose from the list inside the box.

Test II Find the surface area of the following.

Subject: Mathematics Grade Level: 6 Quarter: 3 Test III

C. Find the surface area of a square pyramid. Length of Base

Width of Base

1. 11 cm

11 cm

2. 8.5 cm

8.5 cm

3. 72 mm

72 mm

4. 25 cm

25 cm

5. 14 m

14 m

Height 6.5 cm 3.8 cm 80 mm 30 cm 8.5 m

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT:

Measurement

COMPETENCY:

68.2 Finds the surface area of cylinders, cones and spheres.

CODE:

M6ME-IIIi-93

Test I:

A. Get the surface area of each figure. Encircle the letter of the correct answer.

Subject: Mathematics Grade Level: 6 Quarter: 3 Test II Find the surface area of the following solids. Use the given formula.

Test III

find the surface area of the following. 1. A cylinder with h=8 m, r= 6m SA 2. A square with r = 12 dm SA 3. A cone with r = 9m L = 10m SA 4. Cylinder with h = 12m r = 8m SA 5. A cone with r = 14 cm l=15cm SA

Subject: Mathematics Grade Level: 6 Quarter: 3 LEARNING CONTENT: COMPETENCY: CODE: Test I:

Measurement

69. Solves word problems involving measurement of surface area. M6ME-IIIj-94 Solve each problem. 1. A room measures 5 m by 4 m y 3.5 m. How many square metres of wallpaper are needed to cover the four walls? 2. Find he number of square centimetres of wrapping paper needed to cover a shoe box 25cm by 15cm by 20 cm. 3. How much aluminum is needed to make a cylindrical can if the radius of the base is 5 cm and the height is 15 cm? 4. Find the amount of wrapping paper needed to cover the side of a cylindrical kaleidoscope with a radius of 4cm and a height of 24 cm. 5. An ice cream cone has a radius of 4 cm and a slant height of 11 cm. Find the area of the curved surface only.

Test II Read each situation carefully, write the formula, equation then solve for the surface area. 1. A cylindrical can of milk measures 10cm high and the diameter of the base is 7cm. What is the surface area of the can? Formula: Equation: Surface Area: 2. A plastic alphabet cube is 8 cm on each side. What is the surface area of the cube? Formula: Equation: Surface Area:

Subject: Mathematics Grade Level: 6 Quarter: 3 Test II 3. Find the area to be painted at both side of a funnel whose radius measures 40cm on its base and a height of 20cm Formula: Equation: Surface Area: 4. A tunnel measuring 1 500 meters long and a radius of 20 meters is to be repainted. What is the area to be repainted? Formula: Equation: Surface Area: 5. A box whose edge is 0.75 meters to be wrapped. How the material for wrapping? Formula: Equation: Surface Area: Test III Solve each problem. Use 3.14 for 𝜋. 𝑅𝑜𝑢𝑛𝑑 𝑜𝑓𝑓 𝑒𝑎𝑐ℎ 𝑎𝑛𝑠𝑤𝑒𝑟 𝑡𝑜 𝑡ℎ𝑒 𝑛𝑒𝑎𝑟𝑒𝑠𝑡 𝑤ℎ𝑜𝑙𝑒 𝑛𝑢𝑚𝑏𝑒𝑟. 1. A camping tent is in the shape of a cone. How much canvas is needed to cover the tent is (including the bottom) if it is 6 m in diameter with a height of 4 m and a slant height of 5 m? 2. A prism has 24 edges. How many vertices does it have? 3. A pyramid has 9 vertices. How many edges does it have? 4. A rectangular wooden box is 48 cm by 25 cm by 25 cm. If it is to be completely painted on all sides, what is the total area to be painted in dm2? 5. A closed tin can is to be made from two square pieces of tin sheet each with a side of 16 cm and a rectangular sheet with a length of 50cm and a width of 20 cm what is the total surface area of the largest possible tin can that can be made from the material?