Exploring the World of Mathematics 5 DOWNLOADABLE · 2018. 8. 1. · Which of the following numbers is read as ten million, ﬁ fty-six thousand, seventeen? A. 10 560 017 C. 1 056

Authors: Federico C. Castillo, Ed. D. Emilia C. Maglonzo, BSEEd, MT2

EXPLORING THE WORLD OF MATHEMATICS

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EXPLORING THE WORLD OF MATHEMATICS 5

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cannot be sold, transferred, or distributed in any manner without the prior written consent of St.

Matthew's Publishing Corporation.

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Telefax No.: 426-1274

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Chapter Test 1Number and Number Sense

I. Choose the letter of the best answer. Write it before the item number.

1. What is the place value of 9 in 19 268 457?

A. ten millions C. ten thousands B. millions D. thousands

2. How many millions are there in 12 658 104?

A. 658 B. 104 C. 12 D. 8

3. Which number has the digit 5 in the ten millions place?

A. 93 568 021 C. 58 347 267 B. 72 085 429 D. 43 653 021

4. Which is nine million, four hundred eighty thousand, three hundred eighteen?

A. 9 048 318 C. 9 480 318 B. 9 048 380 D. 9 480 380

5. Which of the following numbers is read as ten million, fi fty-six thousand, seventeen?

A. 10 560 017 C. 1 056 017 B. 10 056 017 D. 105 617

6. What is the standard form of (4 x 10 000 000) + (6 x 1 000 000) + (7 x 100 000) + (3 x 10 000) + (8 x 1000) + (0 x 100) + (2 x 10) + (1 x 1)?

A. 46 738 021 C. 4 673 821 B. 46 673 821 D. 4 673 021

7. What is 18 296 754 rounded to the nearest ten millions?

A. 20 000 000 C. 18 000 000 B. 19 000 000 D. 17 000 000

Name: _________________________________ Date: ____________

4For the sole and exclusive use of the clients of the St. Matthew's Publishing Corporation. Not for sale and distribution

Copyright St. Matthew's Publishing Corporation ©EXPLORING THE WORLD OF MATHEMATICS 5

8. What is 6 582 317 rounded to the nearest ten thousands?

A. 6 580 000 C. 6 580 317 B. 6 500 000 D. 6 500 317

9. What number rounded to the nearest thousands will become 1 549 000?

A. 1 549 782 C. 1 548 273 B. 1 548 927 D. 1 548 098

10. What is the greatest common factor of 72 and 48?

A. 8 B. 16 C. 24 D. 48

11. What is the least common multiple of 36 and 48?

A. 24 B. 48 C. 121 D. 144

12. Which of the following numbers is divisible by 4?

A. 158 B. 186 C. 226 D. 236

13. Which of the following pairs of numbers are divisible by 3, 6 and 9?

A. 198 and 126 C. 162 and 136 B. 72 and 152 D. 168 and 207

14. What is the correct order of operation in 6 + 45 ÷ 9 x 2?

A. Addition, Division, Multiplication B. Multiplication, Division, Addition C. Division, Multiplication, Addition D. Addition, Subtraction, Multiplication

15. What is the value of 42 ÷ 7 + 4 x 3?

A. 30 B. 24 C. 18 D. 16

16. Which of the choices below gives the correct value for 15 - 12 ÷ 4 x 3?

A. 3 B. 4 C. 5 D. 6

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For the sole and exclusive use of the clients of the St. Matthew's Publishing Corporation. Not for sale and distribution

17. Evaluate 24 + (20 ÷ 4) x 3. What is the answer?

A. 87 B. 67 C. 80 D. 39

18. Find the value of [(16 ÷ 4) + 5 x 4)] - 18. What is the answer?

A. 12 B. 8 C. 6 D. 4

B. Do the following:

1. Find the GCF and LCM of 120 and 360.

2. Find the digit that will replace the blank to make the number divisible by 3 in 12 __ 84.

C. Solve the problems. (2 points each)

1. Rochelle bought a pack of coated chocolates that contains 240 pieces of red, yellow and blue coats. There are 40 pieces of blue-coated chocolates. Yellow-coated chocolates is three times the blue-coated one and the rest are red coated. How many are red-coated chocolates?

2. What is the smallest number of chocolate candies that can be divided equally among three groups with 6, 8 and 4 members respectively, so that each member in a group receives the same number of chocolate candies?

D. Create a problem using the information.

BLINKING LANTERNS

Blue light blinksevery 3 seconds

Red light blinksevery 4 seconds

Yellow lights blinksevery 5 seconds



Chapter Test 2Fraction

A. Choose the letter of the best answer. Write it before the item number.

Name: _________________________________ Date: ____________

A.

A.

A.

A.

A.

A.

A. 7

7

3

4

11

17

11

17

2

9

15

3

3

2

81

15

4

3

2

54

15

3

9

16

3

2

49

15

4

49

B.

B.

B.

B.

B.

B.

B. 3

8

4

4

9

16

3

9C. 1

C.

C.

C.

C.

C. 14

C.

5

6

3

3

2

2

1

7

9D. 1

D.

D.

D.

D.

D. 18

D.

7

3

3

5

3

3

2

3

9

7

4

1. What is the sum of + + in lowest term?

2. What is the diff erence in – ?

6. What is the reciprocal of 3 ?

7. What is the multiplicative inverse of 8 ?

4. What is of 27?

5. What number multiplied by gives the product of 1?

3. If is multiplied by 7, what is the product?

5

12

2

2

8

79

15

3

9

15

9



A. 32

A. 2

2 3

B. 24

B. 3

C. 6

C. 5

1 1

D. 4

D. 6

8. What is the quotient in 8 ÷ ?

9. What is the product when the reciprocal of and are multiplied together?

10. Which of the following sentences will give an answer equivalent to 1?

A. C.

B. D.

14

9 8

1218

9 8

512

9 84 3

5

2 2

38

+

+ + +

-

+ -

--

x

÷-

+ x3 1

B. Perform the indicated operation. Simplify the answer if needed.

1. 2.

7.

3.

8.

4.

9.

5.

6. 10.

11. 12. 13. 14. 15.

12

27 8 4

3 1 14

24

7

9

8

611

98

16

1510

4 4

11

1 2 1

6

3 1

31

8 5 3 5 9

23

4 3 6

8

4 3

72

5

8 7

8

9 3 8

3

2 3

4

5 6

3

5 2 3

2

1 2

x

÷ ÷

x

x ÷ ÷

= =

= = = = =



83 of it was given to

indigents

C. Read and solve the problems.(2 points each)

1. Elizabeth bought 25 kilograms of rice. They consumed of the rice in a week. How many kilograms of rice were consumed?

2. Mrs. Manansala bought 24 meters of nylon net. She used of it to cover the orchid plants. How many meters of nylon net were used?

3. Roy can fi nish 8 woven rags in an hour. How many rags can be fi nished in hour?

4. Trina spent hour daily walking to make her body fi t. How many hours did she spend in walking for one week?

5. Aileen bought 8 kilograms of grapes. She gave kilogram to each of her cousins. How many cousins does she have?

D. Create a word problem out of the illustration below using multiplication of fraction. (5 points)

1

1

3

3

1

3

2

4

4

3



Chapter Test 3Decimals

I. Choose the letter of the best answer. Write it before the test item.

1. What is the place value of digit 3 in 29.0538?

A. tenths C. ten thousandths B. thousandths D. hundred thousandths

2. If 29.08745 is rounded to the nearest thousandths, what is the resulting answer?

A. 29.0875 C. 29.087 B. 29.088 D. 29.080

3. Round 8.9999 to the nearest hundredths, what would be the result?

A. 8.10 B. 9.00 C. 9.10 D. 9.99

4. Which of the following decimal numbers are arranged in ascending order?

A. 0.92 ; 0.89 ; 0.826 ; 0.82 C. 2.08 ; 2.91 ; 3.051 ; 3.0364 B. 2.08 ; 2.081 ; 2.09 ; 2.15 D. 4.50 ; 4.58 ; 4.08 ; 5.58

5. Which of the following is the same as 6.0391?

A. six and three hundred ninety-one hundredths B. six and three hundred ninety-one thousandths C. six and three hundred ninety-one ten thousandths D. six and three hundred ninety-one hundred thousandths

B. Compare the following decimals by putting the correct symbol ( > , < , = ) in the box.

Name: _________________________________ Date: ____________

6. 2.056 2.065

7. 9.999 9.9990

8. 27.6387 27.6378

9. 105.09 105.90

10. 87.1286 87.01286

11. 18.004 18.400



C. Write the letter of the correct place value of the underlined digit before each item.

12. 6.058 A. tenths 13. 12.79 B. thousandths 14. 24.0159 C. ten thousandths 15. 18.7258 D. hundredths E. hundred thousandths

D. Do what each number tells you to do then copy the letter of the best answer before each item.

1. What is the sum of 0.1 + 0.4 + 0.3 + 0.2?

A. 0.10 B. 1.0 C. 1.10 D. 10

2. What will be the sum if 3 is added to the sum of 0.15 and 0.021?

A. 3.171 B. 3.071 C. 3.039 D. 3160

3. What is the sum of 4.326 and 8.28 rounded to the nearest tenths?

A. 12.62 B. 12.61 C. 12.6 D. 12

4. If you have fi ve ₱0.25, seven ₱1.00 and eight ₱5.00, how much money do you have?

A. ₱48.75 B. ₱48.50 C. ₱48.25 D. ₱46.25

5. What is the diff erence between 10.91 and 9.1?

A. 1.91 B. 1.81 C. 1.79 D. 1.78

6. If 0.07 is subtracted from the sum of 4.8 and 0.2, what is the resultingnumber?

A. 4.93 B. 4.90 C. 4.83 D. 4.80



7. Take away 7.21 from 12.015, what will be the difference?

A. 4.805 B. 5.805 C. 4.815 D. 4.805

8. If 254 is multiplied by 0.01, what will be the product?

A. 254 B. 25.4 C. 2.54 D. 0.254

9. What is the product of 0.001 multiplied by 0.3?

A. 0.03 B. 0.003 C. 0.0003 D. 0.000003

10. If 23 x 569 is equal to 13 087, what is the product of .023 x 5.69?

A. 13 087 B. 13.087 C. 1.3087 D. 0.13087

11. What is the quotient in 1.479 ÷ .012?

A. 1232.5 B. 123.25 C. 12.325 D. 1.2325

12. What is the quotient in 549 ÷ 0.9?

A. 610 B. 61 C. 6.01 D. 6.10

II. Perform the indicated operations.

Write the numbers in column then add.

1. 5.23 + 2.7 + 6.056 = 2. 27.13 + 36.087 + 4.72 =3. 14.875 + 219.4 + 35.08 =

Subtract:

4. 58.27 - 19.04 5. 76.32 - 54.182 6. 98 - 56.75



Multiply:

Divide:

Use the front-end strategy to estimate the product.

14. 0.354 x 0.23615. 0.627 x 0.514

III. Solve the problems. (2 points each)

1. Carmela wants to buy an electric fan. She has already saved ₱987.50.How much more does she need to save to buy the electric fan that costs ₱1,200.95?

2. Miss Andrea has a daily allowance of ₱300.00. She spends ₱165.75 for food, ₱80.50 for transportation and allotted the rest to miscellaneous expenses. How much does she allot for miscellaneous expenses?

3. Sarah bought a pair of pants worth ₱1,249.95 and a shirt for ₱444.25.How much change will she receive if she gave the cashier two ₱1,000 bill?

7. 0.38 x 7

8. 49.38 x 32

9. 315.75 x .25

10. 11. 12. 13. 0.6 0.15 5 ÷ 6 6 ÷ 80.45 0.09



Chapter Test 4Ratio, Proportion and Percent

I. Choose the letter of the best answer. Write it on the blank before each item.

1. Which of the following expresses the ratio of 16 books to 9 children?

A. 16:9 B. 9:16 C. 8:5 D. 8:3

2. Which pair gives equal ratio?

Name: _________________________________ Date: ____________

2

1

5

3

3

4

4

5

4 1012 12

6 23

2

6

4

4

5

5

6

5 4A.

A.

, , , ,B.

B.

C.

C.

D.

D.

3. Which of the following ratios is equal to 5:20?

A. 1:5 B. 1:4 C. 1:6 D. 1:10

4. What is the value of n that makes the proportion true in 4:12 = n:48?

A. 12 B. 16 C. 24 D. 28

5. In 5:7 = 15:n, what is the value of n?

A. 18 B. 21 C. 28 D. 35

6. Which of the following shows a proportion?

A. 2:3 = 4:8 B. 3:5 = 9:10 C. 4:6 = 2:3 D. 4:5 = 12:15

7. How is 10% written in fraction in the lowest term?

1 10 10110 100 100 1000

A. B. C. D.

8. What is the decimal form for 15% ?

A. 0.15 B. 0.015 C. 0.0015 D. 0.0510

9. What is the equivalent of 80% in fraction?



10. Which of the following has the value of in percent?

A. 60% B. 70% C. 75% D. 80%

11. What is the equivalent of 125% in decimal?

A. 0.125 B. 0.0125 C. 1.25 D. 1.50

12. In 20% of 60=12, which is the percentage?

A. 20% B. 60 C. 12 D. 15

13. Among the animals in the farm, are chicken. What percent of the animals are chicken?

A. 20% B. 25% C. 50% D. 75%

14. Sixty-eight out of 100 scouts joined the camping. What percent of the scouts joined the camping?

A. 32% B. 50% C. 68% D. 86%

15. Which is the rate in 25% of 20=5?

A. 5 B. 15 C. 20 D. 25%

16. Three-fi fths of the fruits were already ripe. How many percent of the fruits were ripe?

A. 40% B. 50% C. 60% D. 80%

17. Change 65% in fraction in the lowest term.

35

14

35 6515 1320 20 100 100

A. B. C. D.

18. What is 75% of 60?

A. 50 B. 45 C. 30 D. 25

19. Eighty-fi ve percent of 40 pupils passed the test. How many pupils passed the test?

A. 6 B. 25 C. 34 D. 36



3

20. Grace Ann correctly answered 94% of the 50-item test in Math. How many correct answers did she get?

A. 18 B. 36 C. 45 D. 47

II. Solve each problem. (2 points each) Choose the letter of the correct answer and write it before each item number.

1. Billy bought a new t-shirt with marked price of ₱895. If he was given 10% discount, how much did he save?

A. ₱75.00 B. ₱5.50 C. ₱79.50 D. ₱89.50

2. Mang Andoy has a poultry farm. He has 220 chickens. Forty-fi ve percent of these lay eggs. How many chickens lay eggs?

A. 180 B. 145 C. 121 D. 99

3. A bag is sold at 50% discount. How much will Julia pay for the bag that cost ₱1,450.00?

A. ₱725 B. ₱750 C. ₱825 D. ₱925

4. Coupon bond papers were sold at 3 for ₱5, how much is the cost of 12 pieces of bond papers?

A. ₱15.00 B. ₱18.00 C. ₱20.00 D. ₱24.00

5. Team Danvel won 14 out of 25 games. What percent of the game did they win? A. 14% B. 25% C. 56% D. 60%

III. Create a problem in fi nding the percentage using the illustrations below.

Enjoy the big discount!

20% off on the

Entertainment

Showcase!!



Chapter Test 5Geometry, Patterns and Algebra

I. Choose the letter of the best answer. Write it before each item.

1. It is a polygon whose sides have the same length and the angles have the same measures. What kind of polygon is it?

A. congruent polygon C. regular polygon B. irregular polygon D. simple polygon

2. Which fi gure is congruent to ?

A. B. C. D.

3. Which polygon has 9 sides?

A. octagon B. nonagon C. decagon D. undecagon

4. It is a polygon whose sides and angles have diff erent measures.

A. regular polygon C. congruent polygon B. irregular polygon D. star polygon

5. How many sides are there in dodecagon?

A. 8 B. 9 C. 10 D. 12

6. Which of the polygons is a pentagon?

A. C.

B. D.

Name: _________________________________ Date: ____________



7. Which of the following pairs of polygons are congruent?

A. B. C. D.

8. The following fi gures are cut along a broken line. Which of them does NOT form a congruent fi gure?

A. B. C. D.

9. What is the distance from one point of the circle to another point that passes through the center of the circle?

A. chord B. radius C. diameter D. perimeter

10. What part of the diameter is the radius?

1 1 1 12 3 4 6

A. B. C. D.

11. What do you call the distance from point A to point B in ?

A. diameter B. radius C. chord D. arc

12. What tool is used in drawing a circle?

A. protractor B. ruler C. compass D. triangle

13. What fi gure has three dimensions— the length, the width and the height?

A. plane fi gure C. congruent fi gure B. spatial fi gure D. lateral fi gure

14. How many faces are there in a cube?

A. 5 B. 6 C. 7 D. 8

A

B



15. What is the sum of all faces, vertices and edges of a cube?

A. 28 B. 26 C. 24 D. 28

16. What fi gure has one vertex and has a circular base?

A. B. C. D.

17. What fi gure is represented by this object ?

A. cube C. cylinder B. rectangular prism D. pyramid

18. Using the number term , what is the sixth term in this sequence 4, 10, 16, . . .

A. 16 B. 22 C. 28 D. 34

19. What is the value of n in ?

A. 54 B. 45 C. 30 D. 18

20. Find the missing digit in 15 x __ + 6 ÷ 3 = 12

A. 2 B. 3 C. 4 D. 5

x6 - 2

n ÷ 5 x 6 + 9 = 63

?



B. Solve the problem (2 points each)

1. Karylle has written a number pattern that begins with 1, 3, 6, 10, 15...If she continue this pattern, what are the next four numbers in her pattern?

2. Sarah bought 2 blouses for ₱850 each and a pair of shoes. If the total cost of all the items she bought is ₱3 145.00, what was the cost of theshoes?



Chapter Test 6Measurements

I. Choose the letter of the best answer. Write it on the blank before each item.

1. What time will 3:25 pm be in a 24-hour time?

A. 13:25 B. 14:25 C. 15:25 D. 16:25

2. Which of the time below is the same as 13:20?

A. 1:20 pm B. 2:20 pm C. 3:20 pm D. 4:20 pm

3. Kuwait is 5 hours behind our time. What time will it be in Kuwait if it is9:30 am in the Philippines?

A. 4:30 am B. 4:30 pm C. 3:30 am D. 3:30 pm

4. Today is 7:15 am, Wednesday, Philippine Time. What day will it be in Canada if it is in 10 hours behind the Philippine Time?

A. Friday B. Thursday C. Wednesday D. Tuesday

5. It is 1:15 pm in Japan. What time will it be in the Philippines if Japan is an hour advanced in our time?

A. 1:15 am B. 1:15 am C. 2:15 pm D. 2:15 am

6. Circumference is the distance around the circle. Which formula will be used to fi nd the circumference of the circle?

A. r x r x r B. r x d C. r x r2 D. r x r

7. What do you call the ratio of circumference to diameter?

A. circumference C. radius B. diameter D. pi

8. A circle has a diameter of 5 dm. What is its circumference?

A. 3.14 dm B. 7.85 dm C. 15.7 dm D. 19.625 dm

Name: _________________________________ Date: ____________



9. Which of the following tells the number of square units contained in a fi gure?

A. circumference C. area B. perimeter D. volume

10. Which of the following is the formula for fi nding the area of a circle?

A. r x r2 B. r x d C. r x r D. r x d x d

11. How is area measured?

A. cubic units C. meters B. square units D. kilometers

12. Which of the following tells the amount of space occupied in a space fi gure?

A. circumference C. area B. perimeter D. volume

13. How many dimensions are there in a rectangular solid?

A. 4 B. 3 C. 2 D. 1

14. What formula will be used to find the volume of a cube?

A. s x s x s B. l x w x h C. r x r2 D. r x r x r

15. Which of the following is the basic unit for finding volume?

A. cubic units C. metric units B. square units D. kilometers

16. What operation will be used to convert cubic centimeters to cubic meters?

A. division C. subtraction B. multiplication D. addition



17. How many liters are there in 15 cm3?

A. 0.15 C. 0.0015 B. 0.015 D. 0.00015

18. How many cubic centimeters are there in 1 liter?

A. 100 C. 10 000 B. 1 000 D. 1 000 000

19. How may cubic centimeters are there in 20 cubic meters?

A. 2 000 C. 2 000 000 B. 200 000 D. 20 000 000

20. What unit of measure will be used to measure the amount of water in a swimming pool?

A. millimeters C. cubic meters B. cubic centimeters D. liters

21. What is the best unit of measure to fi nd the volume of medicine in the bottle?

A. milliliters C. meter B. centimeters D. liters

22. What instrument is used to measure temperature?

A. thermometer C. hydrometer B. barometer D. kilometer

23. What is the temperature if it is 2 0C above the normal body temperature?

A. 35 0C B. 37 0C C. 39 0C D. 40 0C



24. Water boils for 8 minutes, what is the temperature of the water?

A. 80C B. 1000C C. 1080C D. 1280C

25. Yesterday morning, the temperature was 25.60C. Today's temperature is 29.30C. What is the estimated difference of temperature in two days?

A. 4.30C B. 3.70C C. 3.30C D. 30C

II. Solve the following. (2 points each)

1. An aquarium 30 cm by 12 cm by 20 cm is full of water? Find the volume of water in the tank.

A. 7 200 cm3 B. 5 400 cm3 C. 3 600 cm3 D. 2 400 cm3

2. When the time in the Philippines is 9:30 pm, it is 14:30 in London. Susan who is in London received a call from the Philippines at 18:00. What time is it in the Philippines?

A. 10:00 am B. 9:00 pm C. 8:00 am D. 7:00 am

3. What is the largest circle that can be cut from a piece of cartolina that measures 20 cm by 20 cm?

A. 314 cm² B. 300 cm² C. 62.8 cm² D. 62.8 cm

III. Use the data below to create a word problem involving estimated temperature for 5 days. (5 points)

- 27.4 ˚C - 29.6 ˚C - 32.4 ˚C - 31.6 ˚C - 29.3 ˚C

MondayTuesdayWednesday ThursdayFriday

34



Chapter Test 7Statistics and Probability

I. Choose the letter of the best answer. Write it before each item

1. What kind of graph shows information that are connected by lines?

A. line graph C. circle graph B. bar graph D. pictograph

2. What information is written in the vertical axis of the graph at the right?

A. Sales of rice for 5 weeks B. Number of Kilograms Sold C. Number of Weeks D. Number of Days

3. What information is shown in horizontal axis of the graph

at the right?

A. Number of Days B. Number of Weeks C. Number of Kilograms Sold D. Sales for the Week

4. On what week has the largest sales of rice?

A. 1 B. 2 C. 3 D. 4

5. What does the line graph show?

A. information C. drawings B. pictures D. lines

6. What is the ratio of the number of times the event occurs to the total number of trials?

A. experimental probability C. events B. outcomes D. trial

Name: _________________________________ Date: ____________

Sales of Rice for Five Weeks

Num

ber

of K

ilogr

ams

Sol

d

50

45

40

35

30

25

20

15

10

5

01 2 3 4 5

Number of Weeks



7. How many possible outcome can you get from a die that has 6 faces?

8. There are 3 white marbles, 2 black marbles and 1 green marble and 2 yellow marbles in the box. What is the probability of drawing white marbles?

Ten cards are numbered from 1 to 10. They are turned down and mixed up.

9. What is the probability of drawing 3?

10. What is the probability of drawing an odd number?

11. What is the probability of drawing a 4 or a 5?

12. What is the probability of drawing numbers greater than 5 but less than 10?

A. 3 B. 4 C. 5 D. 6

3

3

4

1

4

3

3

1

2

3

3

1

1

4

2

1

1

1

5

1

8

10

10

10

5

2

10

5

3

10

5

10

7

10

5

7

8

5

3

2A.

A.

A.

A.

A.

B.

B.

B.

B.

B.

C.

C.

C.

C.

C.

D.

D.

D.

D.

D.



B. Plot the given data in a line graph. Write the necessary label for the information needed.

13.

14.

15.

(C) Children's Favorite Fruits

nameof

fruitsLanzones Grapes Apples Bananas Oranges

numberof

children25 30 15 20 15

(D)

(A)

(B)

II. Use the illustration below to create problem a word problem on experimental probability. (5 points)

Rolling a die 3 times!

(15) _________

(13) _________

(14) _________

For the sole and exclusive use of the clients of the St. Matthew's Publishing Corporation. Not for sale and distributionCopyright St. Matthew's Publishing Corporation ©


B.

1) 6) 11) 2) 1 7) 12)

3) 8) 13) 4) 9) 14) 5) 10) 15)

Chapter Test - Key to CorrectionGrade 5

15

12

1 14

1 27

323

4 12

15 14

146 1

1 56

158

13 12

28 1120

1 19

58

13

14

Chapter 1

I. B. 1) B 6) A 11) D 16) D 1) GCF = 24 LCM = 7202) C 7) C 12) D 17) D 2) 0, 3, 6, 9 3) C 8) A 13) A 18) C 4) C 9) B 14) C C.5) B 10) C 15) C 1) 80 red-coated chocolates 2) 24 chocolate candies

Chapter 2

I. 1) C 6) D 2) B 7) D 3) B 8) A 4) D 9) D 5) A 10) A

C.

1) 8 kg

2) 16m

3) 6 rags

4) 5 hours

5) 16 cousins

D.

(to be checked by teacher)Sample problem.

• The blue light blinks every 3 sec, the red light blink every 4 sec, and the yellow light blinks every 5 sec. At what time will the lanterns blink at the same time?



Chapter 3

A. B. C. D. 1) B 6) < 12) B 1) B 6) A 11) B2) C 7) = 13) A 2) A 7) A 12) A3) C 8) > 14) C 3) C 8) C4) B 9) < 15) D 4) C 9) C5) C 10) > 5) B 10) D 11) <

II. III.1) 13.986 6) 41. 25 11) 0.6 1) ₱213.452) 67.937 7) 2.66 12) 0.833 2) ₱53.753) 269.359 8) 1 580.15 13) 0.75 3) ₱305.804) 39.23 9) 78.9375 14) 0.065) 22.138 10) 0.75 15) 0.30

Chapter 4

I. II.1) A 6) C 11.) C 16) C 1) D2) B 7) A 12) C 17) B 2) D3) B 8) A 13) B 18) B 3) A4) B 9) C 14) C 19) C 4) C5) B 10) A 15) D 20) D 5) C

III. (Sample Problem)

An entertainment showcase is sold at 20% discount. If the regular price is ₱4 200, how much is the cost of the entertainment showcase?

Answers may vary. Teacher checks as to the correctness of the created word problem.



(Answers may vary. Teacher checks the correctness of the pupils' created problems.)

Chapter 5

A. B. 1) C 6) B 11) C 16) B 1) 21,28, 36, 452) B 7) B 12) C 17) D 2) ₱1,445.003) B 8) A 13) B 18) D 4) B 9) C 14) B 19) B 5) C 10) A 15) B 20) A

Chapter 6

1) C 6) B 11) B 16) A 21) A2) A 7) D 12) D 17) B 22) A3) A 8) C 13) B 18) B 23) C4) D 9) C 14) A 19) D 24) B5) C 10) A 15) A 20) C 25) B

II. III.1) B Diff erent problems can be created. (To be checked by the2) B teacher.)3) A

Chapter 7

A. B. 1) A 6) A 11) B 13) Title of the Graph2) C 7) D 12) C 14) Number of Children3) C 8) A 15) Number of Fruits4) D 9) D 5) A 10) B

II.Diff erent problems can be created out of the information given.(To be checked by the teacher.)



First Quarter Test

I. Choose the letter of the best answer. Write it before each item.

1. What is the value of numeral 4 in 17 348 092?

A. 4000 C. 400 000 B. 40 000 D. 4 000 000

2. How many times greater is the underlined 7 than the 7 that is not underlined in 37 684 723?

A. 1 000 000 C. 10 000 B. 100 000 D. 1000

3. How many ten thousands are there in ten millions?

A. 1000 C. 100 000 B. 10 000 D. 1 000 000

4. What is the standard form for 15 millions, 15 thousands, 15?

A. 15 115 015 C. 15 005 015 B. 15 015 015 D. 15 015 150

5. How is 5 x 107 + 4 x 105 + 8 x 104 + 3 x 103 + 2 x 101 + 9 x 100 written in standard form?

A. 50 483 029 C. 5 004 829 B. 5 048 329 D. 548 329

6. Write twelve million, forty-eight thousand, and one hundred one in fi gure.

A. 12 048 101 C. 12 048 010 B. 12 048 011 D. 1 208 400

7. Which number, when rounded to the nearest hundred thousands becomes 9 000 000?

A. 799 999 C. 8 432 695 B. 8 189 999 D. 8 754 210

Name: _________________________________ Date: ____________



8. Round 43 369 456 to the nearest millions.

A. 40 000 000 C. 43 300 000 B. 43 000 000 D. 44 000 000

9. Which is the smallest 3-digit multiple of 12 which is divisible by 6?

A. 132 B. 144 C. 156 D. 168 10. Which number is exactly divisible by 3, 6 and 9?

A. 639 B. 564 C. 468 D. 462

11. What is the largest digit that can replace n to make 48 n34 divisible by 3?

A. 5 B. 6 C. 7 D. 8

12. What is the order of operations in 5 x (72 - 9) + (24 ÷ 8) x 4 using GMDAS?

A. MSAD B. MGAD C. MGSAD D. GMA

13. What is the value of n in 7 + (5 x 3) - 25 + 5 = n?

A. 11 B. 13 C. 15 D. 19

14. What is the value of 7 x 6 - 9 ÷ 3 + 8?

A. 50 B. 47 C. 42 D. 19

15. How many multiples of 8 is greater than 50 but less than 100?

A. 6 B. 7 C. 8 D. 9

16. Use exponents to express 120 as a product of its prime factors.

A. 23 x 3 x 5 C. 24 x 3 x 5 B. 22 x 32 x 5 D. 2 x 33 x 5

6



17. What is the composite number for 23 x 32 x 5?

A. 90 B. 120 C. 360 D. 480

18. What is the greatest common factor of 60 and 72?

A. 12 B. 14 C. 16 D. 20 19. What is the least common multiple of 60 and 72?

A. 120 B. 240 C. 360 D. 480

20. How is written as a fraction with 100 as denominator?

21. What is the least common denominator of and ?

A. 12 B. 15 C. 30 D. 45

22. How is 12 written as an improper fraction?

23. Express as a mixed number in lowest term.

24. Which fraction is expressed in simplest form?

25. Which fraction is greater than ?

48

36

5

60

20

7

2

20

8

12

5 1

3

51

3

3 2 2

3

2

6 3 115 16 17 17

25

48

2

20

15 3

4

4

4

4 5 8

4

3

8 4 2

4

6

100

4

15

100

142

100 100

24

21

10

A.

A.

A.

A.

A.

B.

B.

B.

B.

B.

C.

C.

C.

C.

C.

D.

D.

D.

D.

D.



26. Which fraction, when multiplied by , will give a product of 1?

27. Which is the multiplicative inverse of 14?

28. How many are there in 3?

A. 6 B. 12 C. 18 D. 20 29. Forty-fi ve minutes is what fraction of an hour in lowest term?

30. What is the sum of ?

31. What is added to the sum of 2 and ?

32. Which is the diff erence between and ?

33. Subtract from 12.

5

1

1

5

7

2

3

3

1

7

1

4

1

2

3

1

5

1

2

5

7

12 1

7

5

1 2

1

3

12

1

1

3

12

1

2

1

2

1111

14

45

4

1

1

1

11

3

9

4

6

5

2

3

6

15

15 3

21

6

3 3

14

60

3

3

3

6

12

14

12

3

4

3

6

15

14

4

5

8

21

6

15

14

3

A.

A.

A.

A.

A.

A.

A.

B.

B.

B.

B.

B.

B.

B.

C.

C.

C.

C.

C.

C.

C.

D.

D.

D.

D.

D.

D.

D.

5 3+ + 48 8 8



34. If 3 is taken away from 6 . What is the answer?

35. Which is subtracted from 15 ?

36. Which is the product of and 5?

A. 5 B. 4 C. 3 D. 2 37. Which has the value of of 54?

38. Which is the quotient in 6 divided by ?

A. 8 B. 6 C. 5 D. 4

39. Divide by its reciprocal, what is the quotient?

40. If is divided by , what is the resulting answer?

2

1

1

13

1

1

1

2

5 1

3

4

2 7

1

4

1

7

1

3

2

15

40

15

38

3

1

3

3

2

4

15

36

15

37

1

5

1

3

3

5 2

4

5

3 8

5

5

2

24

2

3

24

3

15

3

2

15

8

2

A.

A.

A.

A.

B.

B.

B.

B.

C.

C.

C.

C.

D.

D.

D.

D.

7 47 66 6 9 9

A. B. C. D.



II. Analyze each problem carefully then solve. Write the letter of the correct answer before each item. (2 points each)

41. Three pieces of wood that measure 24 dm, 36 dm and 48 dm long is cut into equal lengths. What is the longest piece of wood that can be cut without wasting any parts?

A. 8 dm B. 12 dm C. 24 dm D. 36 dm

42. Gabrielle plays lawn tennis every 3rd day while Joshua plays lawn tennis every 5th day. When will the two boys play on the same day?

A. 10th day B. 15th day C. 20th day D. 24th day

43. Clarisse bought dozen of fresh eggs and dozen of salted eggs.

How many dozen of eggs did she buy in all?

44. Mrs. Salazar bought 4 kilograms of pork. She used of it in to cook adobo. How many kilograms of pork did she cook?

45. Rodolfo repacked 50 kg of sugar in several bags. He put 2 kg in each bag. How many bags did he use to repack the sugar?

A. 30 bags C. 25 bags

B. 25 bags D. 20 bags

3

1

1

3

3

3 2

3 3 kgkg kg23 kg14

4 3

4 4

2

2

4

512

412

312

512

A. 12

A.

B. 2

B.

C. 1

C.

D. 3

D.



Second Quarter Test

I. Choose the letter of the best answer. Write it before the test item.

1. What is 5 written in decimals?

A. 5.12 B. 5.012 C. 5.0102 D. 5.0012

2. Which fraction is equivalent to the decimal number 8.016?

3. What is the place value of digit 3 in 59.0532?

A. tenths C. thousandths B. hundredths D. ten thousandths

4. How is twenty-eight and twelve ten thousandths written in standard form?

A. 28.12 C. 28.0012 B. 28.012 D. 28.00012

5. Which digit shows thousandths place in 3.0624?

A. 0 B. 2 C. 4 D. 6

6. Which of the following fractions shows 0.0015?

7. Which of the following has the greatest value?

A. 9.6870 B. 9.6381 C. 9.6378 D. 9.6387

8. The thousandths place is how many times less than the hundredths?

A. 0 B. 10 C. 100 D. 1000

Name: _________________________________ Date: ____________

16

1515

16

15

16

15

12

100

100

1000

1000

100016

10000

10000010000

1000

A. 8

A.

B. 8

B.

C. 8

C.

D. 8

D.



9. Which Mathematical sentence is true?

A. 0.456 > 0.465 C. 0.108 < 0.1080 B. 0.090 = 0.09 D. 0.592 > 0.0592 10. Which decimals are arranged in descending order?

A. 0.8 ; 0.56 ; 0.023 ; 0.017 B. 0.023 ; 0.017 ; 0.8 ; 0.56 C. 0.23 ; 0.56 ; 0.017 ; 0.8 D. 0.017 ; 0.023 ; 0.56 ; 0.8

11. Round 19.0874 to the nearest thousandths place.

A. 19.0874 B. 19.088 C. 19.087 D. 19.008

12. What is the greatest decimal number when rounded to the nearest hundredths becomes 25.28?

A. 25.287 B. 25.284 C. 25.281 D. 25.279

13. What is the smallest digit that can be placed in the blank to make 5 _7.6 > 547.9?

A. 7 B. 6 C. 5 D. 4

14. What is the sum of 4.59 + 12.3 + 0.956?

A. 17.0846 B. 178.46 C. 17.846 D. 71.638

15. What is 10.5 added to the diff erence of 15.37 and 31.2?

A. 25.079 B. 26.33 C. 28.832 D. 33.832

16. Subtract 15.37 from 31.2. Which is their diff erence?

A. 26.17 B. 24.17 C. 15.93 D. 15.83

17. Subtract the sum of 9.54 and 6.1 from 25.

A. 15.64 B. 10.64 C. 9.36 D. 3.44

18. Which is the estimated diff erence of ₱928.25 and ₱517.85?

A. 415 B. 411 C. 410 D. 400



19. How many decimal places are there in the product of 0.18 and 0.03?

A. 3 B. 5 C. 4 D. 2

20. If 24.2 x 15.3 = 370.26, what is 24.2 x 1.53?

A. 37 026 B. 3702.6 C. 370.26 D. 37.026

21. Which is the product of 32.12 multiplied by 0.06?

A. 0.19272 B. 1.9272 C. 19.272 D. 192.72

22. Which is the estimated product of 0.348 x 0.162 using the front-end strategy?

A. 0.0533 B. 0.0544 C. 0.0555 D. 0.0566

23. Round 5.19 and 7.368 to the nearest tenths then fi nd the product.

A. 3.848 B. 38.48 C. 37.96 D. 379.6

24. Round the quotient of 7 ÷ 8 to the nearest tenths.

A. 0.9 B. 0.8 C. 0.7 D. 0.5

25. Which is the quotient in 0.12 ÷ 0.6?

A. 0.002 B. 0.02 C. 0.2 D. 2 26. Which is the reciprocal of 0.5?

27. Which forms a proportion?

A. 2:3 = 4:9 C. 3:5 = 6:12 B. 3:4 = 9:16 D. 3:4 = 9:12

28. Which is the missing term to make the statement correct in 7:21 : :3?

A. 1 B. 2 C. 3 D. 4

5 5100100

105 5 10

A. B. C. D.



29. A sack of rice which contains 48.75 kilograms is divided among 5 indigent families. How many kilograms did each family get?

A. 10.5 B. 9.75 C. 9.5 D. 9.25

30. Maricel bought 30 meters of cloth. If she needs 1.5 meter for a blouse, how many blouses can she make?

A. 45 B. 30 C. 20 D. 15

31. The Cruz family consumes 0.75 kg of rice a day. How many days will it take to consume 30 kilograms?

A. 43 B. 42 C. 40 D. 50

32. Three kilograms of mangoes cost Mrs. Cruz ₱247.50. How much is the cost of each mango if there are 9 mangoes of the same size?

A. ₱28.00 B. ₱27.75 C. ₱27.50 D. ₱27.25

33. Rollie can cover 10.2 km/hr in his bicycle. How far can he go in 1.5 hours?

A. 6.8 km B. 8.7 km C. 14.8 km D. 15.3 km

34. Jazhtine needs 3 pieces of red ribbons for her scrap book. The length of the ribbon are 7.75 m, 0.50 m and 2.25 m. What is the total length of the ribbon?

A. 8 m B. 8.7 m C. 9.8 m D. 10.5 m

35. Anrick would like to buy a backpack bag that costs ₱975.25. How much more does he need to save if he has already saved ₱567.00?

A. ₱508.25 B. ₱408.25 C. ₱400.25 D. ₱400.00

36. Aunt Sally gave her 8 nieces and nephews money for their allowance. If each receive ₱250.50, how much money did she give in all?

A. ₱3 004.00 B. ₱3 000.00 C. ₱2 004.00 D. ₱2 000.00



37. Alexia bought 21 chocolate bars at ₱34.50 each. About how much did she pay for all the chocolate bars?

A. ₱630.00 B. ₱650.00 C. ₱714.00 D. ₱735.00

38. Cherish bought a dozen of doughnuts at ₱42.75 each. About how much did she pay for the doughnuts?

A. ₱523.75 B. ₱513.00 C. ₱504.00 D. ₱425.00

39. Joseph works 5.5 hours and receives ₱125 per hour. How much does he receive altogether?

A. ₱775.50 B. ₱687.50 C. ₱650.00 D. ₱627.25

40. Suzie drives at 60 km per hour on the highway. She has driven for 1.2 hours. How many km has she traveled?

A. 72 km B. 68 km C. 62 km D. 52 km

II. Analyze each problem then solve. (2 each points)

41. Michael bought 3 sign pens at ₱54.75 each and 3 notepads at ₱24.25 each. He handed the cashier a fi ve hundred-peso bill. How much change did he receive?

42. Recela bought 2 blouses for ₱699.75 each. She gave the cashier three ₱500 bills. How much change did she receive?

43. A fruit vendor bought 20 watermelons at ₱27.50 and sold them at ₱50.00 each. How much profi t will he get from the fruits if three of them were not in good condition?

44. There are 4 volleyballs, 10 tennis balls, 13 pingpong balls and 9 chessboards in the property room. What is the ratio of the chessboards to balls in simplest form?

45. A tree casts a shadow of 12 meters while a 5-meter post casts a shadow of 15 meters. How tall is the tree?



Third Quarter Test

I. Read each item carefully. Choose the letter of the correct answer and write it before the item.

1. The result of fi nding a certain percent of a number is called ______.

A. percentage B. rate C. ratio D. ratio

2. It is the ratio of percentage to the base expressed in percent.

A. base B. rate C. ratio D. percentage

3. Which is the rate in 45 is 30% of 150?

A. 150 B. 120 C. 30% D. 45

4. It is a closed fi gure made up of line segments.

A. circle C. cylinder B. sphere D. polygon

5. A polygon of 9 sides is called ______.

A. decagon B. nonagon C. hexagon D. heptagon

6. It is a/an ______ polygon that has unequal lengths, sides and angles.

A. regular B. irregular C. congruent D. fi xed

7. Which of the following polygon is regular?

A. B. C. D.

8. Two polygons are congruent if ______.

A. they are similar B. they have equal perimeters C. they have the same size and shape D. they have equal areas

Name: _________________________________ Date: ____________



9. Which pair of polygons is congruent?

A. C.

B. D.

10. The distance from any point in the circle to its opposite point that passes through the center is called ______.

A. diameter B. radius C. chord D. line

11. Which is the instrument for drawing circles?

A. protractor B. compass C. ruler D. chord

12. How many vertices are there in a tetrahedron?

A. 3 B. 4 C. 5 D. 6

13. What do you call the surfaces that makes up a cube?

A. edge B. vertex C. face D. line segment

14. It is the longest chord in a circle.

A. diameter B. radius C. chord D. circumference

15. Which part of the diameter is the radius?

A. B. C. D.

16. It is the distance from the center point to any point of a circle.

A. radius B. chord C. diameter D. segment

17. The distance from any point to its opposite point on a circle but does not pass through the center of the circle is ______.

A. diameter B. radius C. chord D. compass

1 1 1 12 4 3 5



18. The diameter of a circle is 32.8 cm. How long is its radius?

A. 8 cm B. 9.6 cm C. 12.4 cm D. 16.4 cm

19. Which of the fi gures below show two circular bases and a curved surface?

A. B. C. D.

20. It is a fi gure that has curved surfaces but there is no base.

A. sphere B. cone C. cylinder D. cube

21. A circle has a radius of 3.5 cm. What is the longest chord?

A. 8.2 cm B. 7.5 cm C. 7 cm D. 6.5 cm

22. Which is the sum of all the faces, edges and vertices of a cube?

A. 26 B. 28 C.30 D. 32

23. Which is the 6th term in this sequence 3, 7, 11, ___ , ___, ___

A. 27 B. 25 C. 23 D. 21

24. Which is the 5th term in , , , ___ , ___

A. B. C. D.

25. Which value of n can make n ÷ 4 × 3 + 8 = 26 true?

A. 28 B. 24 C. 20 D. 16

26. Evaluate 4 × 4 ÷ n + 2 = 4. What is the resulting answer?

A. 8 B. 6 C. 4 D. 2

27. Which time describes 14:15 to the 12-hour clock?

A. 3:15 pm B. 2:15 pm C. 1:15 pm D 12:15 am

13

112

148

?

?

1 1 1 1191 468 768 926



28. Which of the times shows morning in the 24-hour clock?

A. 19:15 B. 02:45 C. 21:15 D. 18:42

29. Dubai is 3 hours behind the Philippine time. What day is it in the Philippines if the time in Dubai is 10:45 pm Wednesday?

A. Tuesday C. Thursday B. Wednesday D. Friday

30. What time will it be in Japan if the current time in the Philippines is 4:05 pm?

A. 2:05 pm C. 4:05 pm B. 3:05 pm D. 5:05 pm

31. How many digits represent the 24-hour clock?

A. 1 B. 2 C. 3 D. 4

32. Which digit is placed before 8 o'clock in the 24-hour time?

A. 0 B. 1 C. 2 D. 4

33. What is the distance around a circle?

A. diameter C. circumference B. radius D. area

34. The ratio of circumference to the diameter is called ______.

A. pi B. radius C. diameter D. area

35. Which is the value of pi (r)? A. 3:10 B. 3.1215 C. 3.14 D. 3.16

36. Which is the formula for fi nding the circumference of a circle?

A. r × r B. r × r² C. r × d D. r + r + r

37. A circle has a radius of 2.5 dm. What is its circumference?

A. 7.85 dm B. 15.7 dm C. 20.7 dm D. 31.4 dm



38. The diameter of a circle is 10 cm. What is its circumference?

A. 31.4 cm B. 20.7 cm C. 15.7 cm D. 7.85 cm

39. Ysabelle wants to put a lace around her circular table with a diameter of 5 dm. How long is the lace that she is going to use?

A. 7.85 dm B. 15.7 cm C. 15.7 dm D. 31.4 dm

40. Toronto Canada is 12 hours behind Manila time. What day will it be in Toronto if it is Saturday 10:50 am Manila time?

A. Thursday C. Saturday B. Friday D. Sunday

II. Read and analayze each problem then solve. (2 points each)

41. Josh bought a book at 10% discount. If the marked price of the book is ₱ 336.00, how much did he pay for the book?

A. ₱376.00 B. ₱369.60 C. ₱310.40 D. ₱302.40

42. Mrs. Santos borrowed ₱20 000 with 2% interest per annum. How much will she return the money after a year?

A. ₱19,400 B. ₱19,600 C. ₱20,400 D. ₱20,500

43. A passenger plane departed Manila at 6:45 am. If the flight time from Manila to Singapore took 3 hours and 45 minutes, at what time will it reached the destination?

A. 10:30 pm B. 10:30 am C. 11:00 pm D. 11:00 am

44. Zeus jogs around a circular park with a diameter of 32 meters. How many meters does Zeus cover if he completes 8 turns?

A. 803.84 m B. 703.84 m C. 401.92 m D. 100.48 m

45. Two circles were drawn having the same center. The radius of the outer circle is 5 cm, while the radius of the inner circle is 2 cm shorter than the outer circle. What is the circumference of the inner circle?

A. 31.4 cm B. 28.26 cm C. 15.7 cm D. 9.42 cm



Fourth Quarter Test

I. Choose the letter of the correct answer. Write it before the item number

1. The number of square units covered in a fi gure is the ______.

A. area C. circumference B. perimeter D. volume

2. What is the formula for fi nding the area of a circle?

A. A = r × d C. A = rr² B. A = r × r D. A = r × c

3. What does r² mean, where r stands for radius?

A. radius is multiplied by 2 B. radius is multiplied by itself C. radius is multiplied by the pi D. it is twice the radius

4. What unit of measure is used in area?

A. square units C. centimeter B. cubic units D. liter 5. If the radius of a circle is 3 cm, what is its area?

A. 18.84 cm² C. 28.36 cm² B. 28.26 cm² D. 28.16 cm²

6. A circular carpet has a diameter of 3 meters. How big is the carpet?

A. 0.7065 m² C. 7.065 m² B. 7.056 m² D. 7.650 m²

7. Mrs. Mendoza would like to put a glass on top of her circular table with a diameter of 8 dm. How big is the top glass?

A. 50.24 dm² C. 28.26 dm² B. 48.26 dm² D. 25.12 dm²

Name: _________________________________ Date: ____________



8. The amount of space occupied in a solid fi gure is ______.

A. circumference C. area B. volume D. angle

9. How many cubic units are there in the figure?

A. 12 C. 36 B. 24 D. 40

10. Which unit of measure is used for volume?

A. cubic unit C. liter B. square unit D. milliliter

11. Which is the formula for finding the volume of a rectangular solid?

A. V = l x w x h C. V = 2 ( l x w )

B. V = 2l + 2w +2h D. V = X l + w

12. How is volume measured?

A. square units C. units B. cubic units D. none

13. Which figure has a formula of s x s x s for finding its volume?

A. rectangular solid C. cube B. triangle D. cone

14. Which is the volume of the figure on the right?

A. 20 cm³ C. 120 cm³ B. 35 cm³ D. 140 cm³

15. Which operation will be used to convert cubic meter to cubic centimeter?

A. addition C. multiplication B. subtraction D. division

12

4 cm

5 cm7 cm



16. How many cubic centimeters are there in 0.036 liter?

A. 3 cm³ C. 36 cm³ B. 0.36 cm³ D. 0.036 cm³

17. How many cubic centimeters are there in 4 m³?

A. 300 000 C. 3 000 000 B. 400 000 D. 4 000 000

18. How many liters are there in 15 000 cm³ of water?

A. 15 L B. 150 L C. 1 500 L D. 6 000 L

19. Which unit of measure is used to find the capacity of a bottle of softdrink?

A. cm³ B. cm³ C. dm D. mL

20. How many dm are there in 3 bottles of softdrink if each bottle contains 1.5 liters? ( 1 dm³ = 1 liter )

A. 6 dm³ B. 3 dm³ C. 2 dm³ D. 4.5 dm³

21. How many liters of water can a tank hold if it measures 2 dm by 3 dm by 4 dm?

A. 6 B. 12 C. 24 D. 36

22. What is the capacity of a box which has an edge of 50 centimeters?

A. 2 160 cm³ C. 150 000 cm³ B. 12 500 cm³ D. 125 000 cm³

23. Which instrument is used to measure temperature?

A. thermometer C. mercury B. centigrade D. barometer

24. How is temperature measured?

A. degree celcius C. rain gauge B. thermometer D. centigrade



25. A serving of water boils for 5 minutes. What is the temperature of the boiling water?

A. 0 0C B. 100 0C C. 500 0C D. 750 0C 26. The temperature is 32.6 0C. At noon time, it rises by 7.4 0C What is the temperature at noon time?

A. 32.6 0C B. 36.7 0C C. 40 0C D. 40.6 0C

27. Monica has a fever. Her temperature is 38.7 0C. How much higher is her temperature than the normal body temperature?

A. 1.7 0C B. 2.1 0C C. 2.7 0C D. 3 0C

28. Which graph uses points and lines on a grid to show changes over a period of time?

A. pictograph C. line graph B. horizontal graph D. bar graph

29. It is an intelligent guess that is formed based on the data presented in the graph.

A. Inference C. Probability B. Observation D. Experiment

30. What do you call the number of times the event occurs over the total number of trials?

A. Experimental Probability C. Event B. Outcome D. Inference

31. Which is the result in experimental probability?

A. outcome C. answer B. event D. experiment

32. If you roll the die, what is the possibility that the digit 4 will come up?

A. B. C. D.

1 1 1 14 5 6 8



33. Fifteen cards numbered from 0-15 were placed inside the box. What is the probability of picking numbers ending in 5?

A. B. C. D.

34. From the word SUCCESSFUL, what is the probability of picking S?

A. B. 1 C. D.

35. How many possible outcomes will come up in a die?

A. 6 B. 5 C. 4 D. 3

1

6

2 3

3

4

3

15

10

15 15

5

15

10

Sports Frequency

BasketballVolleyballSwimming

Table TennisFootball

4341321826

36. How many children took part in the survey?

A. 165 B. 160 C. 159 D. 140

37. How many children have chosen basketball as their favorite sport?

A. 43 B. 41 C. 32 D. 18

38. How many children preferred swimming and table tennis?

A. 60 B. 50 C. 40 D. 32

Favorite Sports

II. Below is the list of sports engaged by the school children in the grade school level. Use the frequency table to answer items 36-40.



39. How many more children chose basketball than football?

A. 20 B. 17 C. 15 D. 12

40. Which sports game was the least preferred by the children?

A. swimming C. basketball B. football D. table tennis

III. Analyze each problem carefully then solve. (2 points each)

41. How many square meters of bermuda grass will a park gardener need to cover the whole surface of a circular garden if it has a radius of 18 meters?

A. 1017.36 m² C. 1017.36 m B. 1007.36 m² D. 56.52 m²

42. Last week, the highest temperature recorded in Cagayan at 1:30 pm was 42.4 0C and falls by 3.6 0C after 6 hours. What will be its temperature then?

A. 46 0C B. 43.7 0C C. 38.8 0C D. 36.8 0C

43. Arnold made a garbage pit at their backyard. It measures 3 m deep, 1.5 m long and 1 m wide. How many m³ of soil was excavated?

A. 2.5 m³ B. 3.5 m³ C. 4.5 m³ D. 5.5 m³

44. Twenty colored tiles were placed in a container: 6 red tiles, 5 blue tiles, 4 yellow tiles and 5 white tiles. What is the chance of drawing blue and white tiles?

A. B. C. D.

45. The wheel of a bicycle has a radius of 30 cm. About how many turns does the wheel need to make to cover a kilometer?

A. 330.78 B. 430.78 C. 530.78 D. 630.78

1 1 1 12 3 4 5



13

FIRST QUARTER TEST

I. II.1) B 6) A 11) D 16) A 41) B2) C 7) D 12) D 17) C 42) B3) A 8) B 13) D 18) A 43) A4) B 9) B 14) B 19) C 44) C5) A 10) C 15) A 20) D 45) D

21) B 26) B 31) B 36) B 22) A 27) D 32) C 37) A23) C 28) C 33) D 38) A24) A 29) C 34) D 39) D25) A 30) A 35) B 40) A

SECOND QUARTER TEST

I. II. 2 points each1) B 6) C 11) C 16) D 41) ₱263.002) B 7) A 12) B 17) C 42) ₱100.503) C 8) B 13) C 18) D 43) ₱3004) C 9) B 14) C 19) C 44) 1:3 or 5) B 10) A 15) B 20)D 45) 4 m

21) B 26) B 31) C 36) C22) A 27) D 32) C 37) C23) B 28) A 33) D 38) C24) A 29) B 34) D 39) B25) C 30) C 35) B 40) A

Quarter Test - Key to CorrectionGrade 5



THIRD QUARTER TEST

I. II. (2 points each)1) A 6) B 11) B 16) A 21) C 41) D2) B 7) B 12) B 17) C 22) A 42) C3) C 8) C 13) C 18) D 23) C 43) B4) D 9) A 14) A 19) B 24) C 44) A5) B 10) A 15) A 20) A 25) B 45) B

26) A 31) D 36) C 27) B 32) A 37) B 28) B 33) C 38) A 29) B 34) A 39) B 30) D 35) C 40) B

FOURTH QUARTER TEST

I. 1) A 6) C 11) A 16) C 21) C 2) C 7) A 12) B 17) D 22) D 3) B 8) B 13) C 18) A 23) A 4) A 9) B 14) D 19) D 24) A 5) B 10) A 15) C 20) D 25) B

26) C 31) A 27) A 32) C 28) C 33) B 29) A 34) D 30) A 35) A

II. III. (2 points each)36) B 41) A 37) A 42) C38) B 43) C39) B 44) A40) D 45) C

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Exploring the World of Mathematics 5 DOWNLOADABLE · 2018. 8. 1. · Which of the following numbers is read as ten million, ﬁ fty-six thousand, seventeen? A. 10 560 017 C. 1 056