3Q MATH4

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3Q MATH

I. NUMBER THEORY

A. REMEMBER: Divisibility Tests

A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8.A number is divisible by 4 if the number formed by the last two digits is divisibleby 4.

Ex. 316 is divisible by 4 since 16 is divisible by 4.A number is divisible by 5 if the last digit is either 0 or 5.

Ex. 195 is divisible by 5 since the last digit is 5.A number is divisible by 10 if the last digit is 0.

Ex. 1,470 is divisible by 10 since the last digit is 0.

T or F.

_______ 1. All numbers divisible by 5 are odd numbers.

_______ 2. All numbers divisible by 10 are divisible by 5.

_______ 3. The numbers 0 and 1 are neither prime nor composite numbers.

_______ 4. All numbers divisible by 5 and 2 end in 0.

_______ 5. 53 is a prime number.

B. PRIME OR COMPOSITE. Write P if the number is a prime number and C ifit is composite.

1. _______ 41 4. ________ 93 7. _________ 512. _______ 59 5. ________ 92 8. _________ 793. _______ 17 6. ________ 73

C. GCF USING LISTING OF FACTORS

Ring the letter of the correct answer.

1. What is the greatest common factor of 8 and 40?

A. 1 B. 2 C. 4 D. 8 E. 10

2. What is the greatest common factor of 27 and 12?

A. 1 B. 2 C. 3 D. 6 E. 9

3. Find the greatest common factor of 48 and 36.

A. 1 B. 4 C. 6 D. 12 E. 18

4. Find the G.C.F. of 18 and 8.

A. 1 B. 2 C. 4 D. 6 E. 8

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5. Find the greatest common factor of 12 and 15.

A. 6 B. 2 C. 4 D. 5 E. 3

PROBLEM SOLVING:

1. For Reeses party, Robbin prepared 24 cookies and 18 cupcakes for dessert.What is the greatest number of cookies and cupcakes a table can have so thateach table will have an equal number of desserts?

2. Buddha bought some doggie bones and paid Php36.00. Midnight bought thesame brand and type of doggie bones and paid Php54.00. At most, how muchwas each doggie bone?

D. LCM using LISTING OF MULTIPLES

Ring the letter of the correct answer.

1) Find the Least Common Multiple (L.C.M.) of 10 and 15.

A. 15 B. 20 C. 30 D. 60 E. 150


A. 9 B. 18 C. 27 D. 36 E. 72


A. 24 B. 48 C. 72 D. 96 E. 192


A. 12 B. 30 C. 60 D. 90 E. 120


A. 9 B. 18 C. 36 D. 54 E. 90

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PROBLEM SOLVING:

Susan walks every 5 days. Her friend Alice walks every 4 days. If they wentjogging together on December 10, 2008, on what date will they jog togetheragain?

2. Two buses leave the terminal at 8 am. Bus 36 takes 60 minutes to completeits route; bus 87 takes 75 minutes. When is the next time the two buses willarrive together at the terminal (if they are on time)?

II. CONCEPTS OF FRACTIONS

A. FRACTIONS USING SETS, REGIONS AND NUMBER LINE

DIRECTIONS: Identify the fraction represented by the shaded part of the regionor set. Write your answer on the space provided for each number. (10)

1. ________

2. _________

3. ____________

(unshaded)

4. __________

(shaded)

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DIRECTIONS: Choose the correct fraction that is represented by the point on thenumber line. Write the letter of your answer on the blank.

_______5.

---|----|----|----|----|----|--------|----|----|----|----|

0 1

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

_______6.

---|----|----|----|----|--------|----|----|----|--2 3 4

A. 9/4 B. 3 1/4 C. 7/4 D. 4 3/4

DIRECTIONS: Answer the following questions by referring to the set below.

________ 7. What part of the set are notes?________ 8. What part of the set are triangles?________ 9. What part of the set are suns?________ 10. What fraction represents the unshaded elements in the set?

B. RENAMING FRACTIONS CONVERSION FROM MIXED TO IMPROPERAND VICE VERSA (10)

Rename the following mixed numbersto improper fractions.

Rename the following improperfractions to mixed numbers.

1. 3 = 6. 75 / 8 =

2. 4 2 =7

7. 46 / 9 =

3. 1 6 =13

8. 57 / 7 =

4. 3 5 =9

9. 27 / 4 =

5. 2 5 =

6

10. 35 / 6 =

4

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C. EQUIVALENT FRACTIONSChoose the fraction in Column B that is equivalent to the given fraction in ColumnA. Write the letter of the answer only. You may repeat answers. (5)

Column A Column B

______ 1. 3 / 12 A. 10/30 F. 1/2

______ 2. 5 / 30 B. 1/3 G. 1/6

______ 3. 1 / 3 C. 6/21

______ 4. 2 / 7 D. 6/24

______ 5. 22 / 66 E. 1/4

Solve for the missing term to make each pair of fractions equivalent. Write theanswer on the blank. (10)

6. 7 11. 18 9----- = ------ ------ = -------9 36 28

7. 28 12. 1----- = 3 ------ 3 ----- = --------8 8 12 36

8. 3 18 13. 4----- = ------ 5 ---- = --------10 11 11

9. 5 14. 24 2----- = 2 ------ -------- = -------

35 36

10. 4 36 15. 21----- = ------ ------- = --------7 18 6

D. LOWEST TERM FRACTIONS

Reduce the following fractions to the lowest terms. Write your answer on thespace provided for each numbers. (10)

1. 36 6. 45----- = ------ ------ = -------48 54

2. 25 7. 14----- = ------ ------- = --------75 42

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3. 63 8. 60----- = ------ ------ = --------70 66

4. 14 9. 13----- = ------ -------- = -------35 52

5. 30 10. 56----- = ------ ------- = --------36 48

E. COMPARING AND ORDERING OF FRACTIONS

A. Compare the following. Write the symbols or = in the space provided. (5)

1.

2. ---|----|--------|----|----|--->0 1

3----4

3.

(shaded)

454. ----

36

11 ----

4

5.

B. Arrange the following fractions. Write 1, 2, 3 on the blank under each fraction.

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Least to greatest Greatest to least

14 5 1 7 3 121. ----- ------ 3---- 2. ------ 1 ---- -----

6 8 4 6 3 9

______ ______ ______ ______ ______ ______

Least to greatest Greatest to least

4 9 1 3 4 363. 3 ----- 3 ------ 3 ---- 4. ------ ---- -----

7 14 2 4 10 40

______ ______ ______ ______ ______ ______

III. ADDITION AND SUBTRACTION OF LIKE FRACTIONS AND MIXEDNUMBERS

A. Add or subtract the following fractions. Reduce the answer to lowest terms.(5)

1. 25 + 12 - _5 =27 27 27 ______

2. 3 12 + 119_ - 6 =21 21 21 ______

3. 10 - 35 =12 ______

4. 7 - 2 15 + 1 6 =18 18 ______

5. 5 25 + 3 10 - 4 =50 50 ______

B. Write an equation then solve for the answer for the given LOM statement.Reduce answers to lowest terms. (10)

1. What is 7 increased by the difference of 4 3 and 1 7 ?8 8

Equation: _________________________________

2. What number is the sum of3 13 and 1 17 less 7 ?28 28 28

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Equation: _________________________________

3. Twelve more than the difference of2 14 and 1 12 is what number?25 25

Equation: _________________________________

4. What is 3 9 more than the difference of and 9 11 and 4 13 ?15 15 15

Equation: _________________________________

5. Add 4 to the difference of5 and 2 9 . What is the result?13 13

Equation: _________________________________

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IV. PROBLEM SOLVING

Write an equation and show your solutions. Encircle and label your final answer.For #s 3-10, reduce answers to lowest terms. (30 pts)

1. In a karate contest, the contestants were given wooden boards that they hadto chop in half with their bare hands. The contestant who can chop the mostnumber of boards in 3 minutes will get the prize. Each contestant was given 36equally-sized boards. Toshimasa chopped of his boards, Yuji chopped 5/12and Tsuyoshi was able to chop only 5/6. Who won the prize? Who got 2nd and 3rd

place?

2. Three athletes tried out for the varsity track and field team. The team needstwo new members. In a 100-m dash, Jake finished with a time of 1 3/5 minutes.Jolo finished in 17/10 minutes, while Tito finished in 6/4 minutes. Which of theboys did NOT make it to the team?

3. At a food sale, Joe was able to sell 12 out of 28 sticks of barbeque. Later hesold 9 more. What part of the barbeque was left unsold?

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4. Ricks motorbike had 3 4/5 liters of gas on Tuesday. By Friday, his gas tankhad only 11/4 liters. How many liters of gas did Rick consume?

5. Twins Phil and Lil were playing on the mat. Phil weighs 2 5/8 kg more thanLil. If Lil weighs 17 1/4 kg, how much does Phil weigh?

6. Erica will make Christmas decors out of coconut husks. She bought 10

kilograms of husks. She will use 4 kg to make lanterns. She will use 3 2/3 kgfor table decorations. How many kg of husks will be left?

7. The baggage allowance for the flight was 20 kilograms. Carols emptysuitcase weighed 25/10 kg. The clothes that Carol should pack should thereforenot exceed how many kilograms?

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8. Gary joined the Bikini Bottom Great Snail Race for 2005. He crawled two anda half inches. Then he got confused and went back 1 1/4 of an inch. Then heturned around and crawled another three and two thirds inches in the rightdirection. How far was Gary at this point?

9. Willy donated 1/3 of his K-Zone Magazine collection to the Spark HopeFoundation. If he has 24 issues left, how many magazines did Willy have in his

collection before the donation?

REVIEW YOUR ANSWERS!!

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