MATH 6 Q4 PERIODIC TEST REVIEWER

 MATH 6 Q4 PERIODIC TEST REVIEWER


Test I. Direction: Encircle the letter of the correct answer.

 1. What is the formula to find the volume of a cylinder?

 

a) V = πr²h

b) V = (πr²h) / 3

c) V = 4/3πr³

d) V = 2πrh

 

2. Which shape has a volume formula that includes the height and the radius?

 

a) Cylinder

b) Pyramid

c) Cone

d) Sphere

 

3. What is the formula to find the volume of a pyramid?

 

a) V = 4/3πr³

b) V = (πr²h) / 3

c) V = lwh

d) V = 1/3 Bh

 

4. Which shape has a volume formula that involves the radius and the height?

 

a) Cylinder

b) Pyramid

c) Cone

d) Sphere

 

5. What is the formula to find the volume of a cone?

 

a) V = πr²h

b) V = (πr²h) / 3

c) V = lwh

d) V = 1/3 Bh

 

6. Which type of meter is used to measure water consumption in households?

 

a) Ammeter

b) Water meter

c) Voltmeter

d) Wattmeter

 

7. How are water meter readings typically displayed?

 

a) In kilowatt-hours (kWh)

b) In volts (V)

c) In gallons (gal) or cubic meters (m³)

d) In amps (A)

 

8. What unit of measurement is commonly used for electric meter readings?

 

a) Gallons (gal)

b) Liters (L)

c) Cubic meters (m³)

d) Kilowatt-hours (kWh)

 

9. When reading an electric meter, what should be recorded?

 

a) The numbers in black or white only

b) The numbers in red only

c) All the numbers, including zeros

d) Only the numbers preceding the decimal point

 

10. How do you interpret an electric meter reading if the dial points between two numbers?

 

a) Record the lower number

b) Record the higher number

c) Round to the nearest whole number

d) Record both numbers

 

11. In a pie graph representing the distribution of ice cream flavors, if the chocolate flavor occupies 25% of the graph, what percentage would the remaining flavors collectively represent?

 

a) 50%

b) 60%

c) 75%

d) 80%

 

12. In a pie graph representing the distribution of smartphone brands, if the Apple brand occupies 40% of the graph, what percentage would the other brands collectively represent?

 

a) 20%

b) 30%

c) 40%

d) 60%

 

13. In a pie graph representing the distribution of students' favorite subjects, if the math subject occupies 30% of the graph, what percentage would the other subjects collectively represent?

 

a) 40%

b) 50%

c) 60%

d) 70%

 

14. In a pie graph representing the distribution of car colors, if the blue color occupies 15% of the graph, what percentage would the other colors collectively represent?

 

a) 25%

b) 35%

c) 50%

d) 85%

 

15. In a pie graph representing the distribution of movie genres, if the action genre occupies 20% of the graph, what percentage would the other genres collectively represent?

 

a) 30%

b) 50%

c) 70%

d) 80%

 

16. Which of the following statements accurately describes the relationship between the volume of a cylinder and the volume of a cone?

 

a) The volume of a cone is half the volume of a cylinder with the same base and height.

b) The volume of a cone is equal to the volume of a cylinder with the same base and height.

c) The volume of a cone is twice the volume of a cylinder with the same base and height.

d) The volume of a cone cannot be determined from the volume of a cylinder.

 

17. A sphere has a radius of 5 units. What is its volume?

 

a) 100π cubic units

b) 125π cubic units

c) 150π cubic units

d) 200π cubic units

 

18. If the height of a pyramid is doubled while keeping the base area constant, how does it affect the volume of the pyramid?

 

a) The volume is doubled.

b) The volume is halved.

c) The volume is quadrupled.

d) The volume remains the same.

 

19. A cylinder has a height of 8 units and a radius of 4 units. What is its volume?

 

a) 32π cubic units

b) 64π cubic units

c) 128π cubic units

d) 256π cubic units

 

20. How does the volume of a sphere compare to the volume of a cylinder with the same radius and height?

 

a) The volume of the sphere is half the volume of the cylinder.

b) The volume of the sphere is equal to the volume of the cylinder.

c) The volume of the sphere is twice the volume of the cylinder.

d) The volume of the sphere cannot be determined from the volume of the cylinder.

 

21. If an electric meter reading is 3200 kWh today and 2800 kWh a month ago, what is the difference in electricity consumption?

 

a) 200 kWh

b) 400 kWh

c) 500 kWh

d) 600 kWh

 

22. A water meter reading shows 150 cubic meters of water used. If the previous reading was 120 cubic meters, what is the water consumption?

 

a) 20 cubic meters

b) 30 cubic meters

c) 40 cubic meters

d) 50 cubic meters

 

23. An electric meter reading shows 5500 kWh. If the electricity tariff is $0.15 per kWh, what is the cost of electricity consumed?

 

a) $550

b) $825

c) $8250

d) $5500

 

24. In a pie graph representing the distribution of sales by product category, if the sales of Category A are twice the sales of Category B, and Category B represents 25% of the total sales, what percentage would Category A represent?

 

a) 25%

b) 40%

c) 50%

d) 75%

 

25. In a pie graph representing the distribution of students' extracurricular activities, if the graph shows that 30% of students participate in sports and 20% participate in music, what percentage of students do not participate in either sports or music?

 

a) 10%

b) 20%

c) 50%

d) 70%

 

26. A cylinder and a cone have the same height and radius. If the volume of the cylinder is 100 cubic units, what is the volume of the cone?

 

a) 50 cubic units

b) 75 cubic units

c) 100 cubic units

d) 150 cubic units

 

27. The volume of a pyramid is 200 cubic units. If the base area of the pyramid is 50 square units, what is the height of the pyramid?

 

a) 2 units

b) 4 units

c) 6 units

d) 8 units

 

28. A sphere has a volume of 36π cubic units. What is its surface area?

 

a) 36π square units

b) 72π square units

c) 144π square units

d) 216π square units

 

29. A cylinder has a volume of 100π cubic units and a height of 10 units. What is its radius?

 

a) 2 units

b) 3 units

c) 4 units

d) 5 units

 

30. A cone has a volume of 75 cubic units and a height of 5 units. What is its radius?

 

a) 3 units

b) 4 units

c) 5 units

d) 6 units

 

31. The electricity tariff for residential customers is ₱0.12 per kilowatt-hour (kWh). If a household consumes 500 kWh in a month, what would be the total cost of electricity for that month?

 

a) ₱50

b) ₱60

c) ₱75

d) ₱100

 

32. A water meter reading shows 500 cubic meters. If the previous reading was 400 cubic meters and the billing cycle is three months, what is the average monthly water consumption?

 

a) 25 cubic meters

b) 50 cubic meters

c) 75 cubic meters

d) 100 cubic meters

 

33. An electric meter reading shows 4200 kWh. If the electricity tariff is ₱0.15 per kWh and the billing cycle is two months, what is the total cost of electricity for the billing period?

 

a) ₱630

b) ₱6300

c) ₱1260

d) ₱12,600

 

 

34. In a pie graph representing the distribution of students' favorite sports, if the graph shows that 40% of students prefer basketball, 30% prefer soccer, and 10% prefer swimming, what percentage of students prefer other sports?

 

a) 10%

b) 15%

c) 20%

d) 30%

 

35. A pie graph represents the distribution of expenses in a household budget. If the graph shows that 40% of the budget is allocated for housing, 20% for transportation, and 10% for healthcare, what percentage of the budget remains for other expenses?

 

a) 10%

b) 20%

c) 30%

d) 40%

 

Part II. Problem Solving. Solve for each problem. Use the back of this paper for your solution.

 

36-37) Sophia wants to make a small decorative sphere for her art project. She decides to use a small foam ball with a diameter of 4 centimeters. Sophia wants to know the volume of the foam ball to determine how much paint she will need. Can you help her? Solve for it.

 

Correct Answer: ________________________________________________________________________

 

38-39) Alex's family wants to keep track of their water consumption for the month. At the beginning of the month, their water meter reading was 150 cubic meters. After a month, the reading increased to 180 cubic meters. Can you help Alex determine how much water their family consumed during the month?

 

Correct Answer: ________________________________________________________________________

 

 

 

 

40) Observe the pie graph below then answer the question:

 

BOKNOY FAMILY’S MONTHLY ALLOWANCE

 


 

 Question: If you were budget officer of the family, which part of the budget are you going to reduce or completely irradicate to fund for an emergency fund? Why?

 

Your answer: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

41) What is the formula for finding the volume of a pyramid?

 

A) V = πr²h

B) V = (πr²h)/2

C) V = (1/3)Bh

D) V = 4/3πr³

 

42) Which formula should be used to calculate the volume of a sphere?

 

A) V = πr²h

B) V = (πr²h)/2

C) V = (1/3)Bh

D) V = (4/3)πr³

 

43) Which type of meter is used to measure the consumption of electricity in a household?

 

A) Ammeter

B) Voltmeter

C) Wattmeter

D) Electric Meter

 

44) Which unit is typically used to measure water consumption?

 

A) Kilowatt-hour (kWh)

B) Ampere (A)

C) Cubic meter (m³)

D) Joule (J)

 

45) Based on the given pie graph, which age group of teenagers have the highest percentage of getting pregnant at a young age?



A)   19 yrs old

B)   18 yrs old

C)   17 yrs old

D)   16 yrs old

 

Part III. Creating (5 points). On the space provided for, draw a cube with correct dimensions. The drawing shall correctly represent a cube with a volume of 125 cm3.

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 



 

 

 

MATH 6 Q4 ANSWER KEY:

#

ANSWER

1

1. a) V = πr²h

2

2. a) Cylinder

3

3. d) V = 1/3 Bh

4

4. c) Cone

5

5. b) V = (πr²h) / 3

6

6. b) Water meter

7

7. c) In gallons (gal) or cubic meters (m³)

8

8. d) Kilowatt-hours (kWh)

9

9. c) All the numbers, including zeros

10

10. d) Record both numbers

11

11. c) 75%

12

12. d) 60%

13

13. c) 60%

14

14. a) 25%

15

15. c) 70%

16

16. a) The volume of a cone is half the volume of a cylinder with the same base and height.

17

17. b) 125π cubic units

18

18. d) The volume remains the same.

19

19. a) 32π cubic units

20

20. b) The volume of the sphere is equal to the volume of the cylinder.

21

21. a) 200 kWh

22

22. c) 40 cubic meters

23

23. b) $825

24

24. d) 75%

25

25. b) 20%

26

26. a) 50 cubic units

27

27. b) 4 units

28

28. c) 144π square units

29

29. b) 3 units

30

30. a) 3 units

31

31. b) ₱60

32

32. a) 25 cubic meters

33

33. c) ₱1260

34

34. d) 30%

35

35. c) 30%

36-37

Word Problem:

 

Sophia wants to make a small decorative sphere for her art project. She decides to use a small foam ball with a diameter of 4 centimeters. Sophia wants to know the volume of the foam ball to determine how much paint she will need. Can you help her?

 

Solution:

 

To find the volume of the sphere, we can use the formula:

 

Volume of a sphere = (4/3) * π * radius³

 

Given that the diameter of the foam ball is 4 centimeters, we can find the radius by dividing the diameter by 2:

 

Radius = Diameter / 2 = 4 cm / 2 = 2 cm

 

Now, substituting the value of the radius into the formula, we have:

 

Volume of the sphere = (4/3) * π * (2 cm)³

 

Calculating the volume:

 

Volume of the sphere = (4/3) * 3.14 * 2³

                    = (4/3) * 3.14 * 8

                    = 33.49 cm³ (rounded to two decimal places)

 

Answer: The volume of the foam ball is approximately 33.49 cm³.

38-39

Word Problem:

 

Alex's family wants to keep track of their water consumption for the month. At the beginning of the month, their water meter reading was 150 cubic meters. After a month, the reading increased to 180 cubic meters. Can you help Alex determine how much water their family consumed during the month?

 

Solution:

 

To find the water consumption, we need to calculate the difference between the initial and final meter readings.

 

Water consumption = Final meter reading - Initial meter reading

 

Given that the initial meter reading was 150 cubic meters and the final meter reading was 180 cubic meters, we can substitute these values into the equation:

 

Water consumption = 180 cubic meters - 150 cubic meters

                 = 30 cubic meters

 

Answer: Alex's family consumed 30 cubic meters of water during the month.

 

40

Teacher’s Discretion

41

Question 41: C) V = (1/3)Bh

42

Question 42: D) V = (4/3)πr³

43

Question 43: D) Electric Meter

44

Question 44: C) Cubic meter (m³)

45

A

46

 

47

 

48

 

49

 

50

S = 5 cm

 

 REVIEW MORE SUBJECTS


Comments

Post a Comment

Popular posts from this blog

[Q4] Finding the Volume of a Cone

Image
Exploring the Volume of a Cone: A Fascinating Mathematical Journey By Pj Miana   Hello, young mathematicians! Today, we embark on an exciting adventure into the world of geometry to unravel the mysteries of the volume of a cone. Get ready to dive deep into this mathematical concept and discover the wonders it holds!   What is a Cone?   Before we delve into its volume, let's first understand what a cone is. A cone is a three-dimensional shape that has a circular base and a pointed top, called the apex. Imagine an ice cream cone or a party hat, and you'll have a perfect visual representation of this versatile shape.   Watch also this video in tagalog:  Understanding Volume   Volume is the amount of space occupied by a three-dimensional object. In simpler terms, it's how much "stuff" can fit inside the object. For example, when you fill a glass with water, you're measuring its volume—the amount of water it can hold.   Formula for...
Read more

[Q3] - MATHEMATICS 3Q REVIEWER

[Q3] - MATHEMATICS 3Q PERIODIC TEST REVIEWER Test I. Direction: Encircle the letter of the correct answer.   1) Which of the following is a solid figure that has one circular base and one vertex? a) Cube b) Cylinder c) Cone d) Pyramid   2) Which solid figure has a circular base and a curved surface that tapers to a point? a) Cylinder b) Cone c) Sphere d) Cube   3) What is the name of a solid figure that has six rectangular faces and eight vertices? a) Cube b) Pyramid c) Cone d) Cylinder   4) Which solid figure has two circular bases that are parallel to each other? a) Cylinder b) Sphere c) Cone d) Pyramid   5) What is the name of a solid figure that has a polygonal base and triangular faces that meet at a common vertex? a) Cube b) Cylinder c) Cone d) Pyramid   6) What is a sequence? a) A mathematical statement that shows the equality between two expressions or values b) A set of numbers or ob...
Read more

[Q4] RELATIONSHIPS OF VOLUMES OF GEOMETRIC SOLIDS (M6ME-IVa-95)

Image
Topic: Relationships of Volume in Geometric Solids (M6ME-IVa-95)  PJ MIANA 1. Relationship between a Rectangular Prism and a Pyramid: - A rectangular prism is a three-dimensional shape with six rectangular faces. - Its volume (V) is given by the formula: V = length × width × height. - A pyramid is a three-dimensional shape with a polygonal base and triangular faces meeting at a common vertex. - The volume of a pyramid (V) is calculated using the formula: V = (1/3) × base area × height. - In comparing the volumes of a rectangular prism and a pyramid:   - If they have the same base area and height, the rectangular prism will have three times the volume of the pyramid.   - This is because the rectangular prism fills up space more efficiently due to its shape.   2. Relationship between a Cylinder and a Cone: - A cylinder is a three-dimensional shape with two congruent circular bases and a curved surface. - The volume of a cylinder (V) is given...
Read more