3q Math4
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View 3q Math4 as PDF for free.
More details
- Words: 1,795
- Pages: 11
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 divisible by 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 if it is composite. 1. _______ 41 2. _______ 59 3. _______ 17
4. ________ 93 5. ________ 92 6. ________ 73
7. _________ 51 8. _________ 79
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
C. 4
D. 6
E. 8
4. Find the G.C.F. of 18 and 8. A. 1
B. 2
2 5. Find the greatest common factor of 12 and 15. A. 6
B. 2
C. 4
D. 5
E. 3
PROBLEM SOLVING: 1. For Reese’s party, Robbin prepared 24 cookies and 18 cupcakes for dessert. What is the greatest number of cookies and cupcakes a table can have so that each table will have an equal number of desserts?
2. Buddha bought some doggie bones and paid Php36.00. Midnight bought the same brand and type of doggie bones and paid Php54.00. At most, how much was 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
2) Find the Least Common Multiple (L.C.M.) of 4 and 9. A. 9
B. 18
C. 27
D. 36
E. 72
3) Find the Least Common Multiple (L.C.M.) of 8 and 24. A. 24
B. 48
C. 72
D. 96
E. 192
4) Find the Least Common Multiple (L.C.M.) of 5 and 12. A. 12
B. 30
C. 60
D. 90
E. 120
5) Find the Least Common Multiple (L.C.M.) of 6 and 9. A. 9
B. 18
C. 36
D. 54
E. 90
3 PROBLEM SOLVING: Susan walks every 5 days. Her friend Alice walks every 4 days. If they went jogging together on December 10, 2008, on what date will they jog together again?
2. Two buses leave the terminal at 8 am. Bus 36 takes 60 minutes to complete its route; bus 87 takes 75 minutes. When is the next time the two buses will arrive 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 region or set. Write your answer on the space provided for each number. (10)
1. ________ 2. _________
3. ____________ (unshaded) 4. __________ (shaded)
♕ ♛ ♕ ♛ ♕♛ ♕
☻ ☻
☺ ☻ ☺ ☻
☺☻ ☺ ☺ ☺ ☺
4 DIRECTIONS: Choose the correct fraction that is represented by the point on the number 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 IMPROPER AND VICE VERSA (10) Rename the following mixed numbers to improper fractions.
Rename the following improper fractions to mixed numbers.
=
6.
2. 4 2 7
=
7. 46 / 9 =
3. 1
=
8. 57 / 7 =
4. 3 5 9
=
9. 27 / 4 =
5. 2 5 6
=
10. 35 / 6 =
1.
3
⅝
6 13
75 / 8 =
5 C. EQUIVALENT FRACTIONS Choose the fraction in Column B that is equivalent to the given fraction in Column A. Write the letter of the answer only. You may repeat answers. (5) Column A
Column B
______ 1. 3 / 12
A.
10/30
______ 2. 5 / 30
B. 1/3
______ 3. 1 / 3
C.
______ 4. 2 / 7
D. 6/24
______ 5. 22 / 66
E. 1/4
F. 1/2 G. 1/6
6/21
Solve for the missing term to make each pair of fractions equivalent. Write the answer on the blank. (10) 6. 7 ----- = -----9 36
11.
7. 28 ----- = 3 -----8 8
12.
1 3 ----- = -------12 36
8. 3 18 ----- = -----10
13.
4 5 ---- = -------11 11
9.
14.
24 2 -------- = ------36
15.
21 ------- = -------18 6
5 ----- = 2 -----35
10. 4 36 ----- = -----7
18 9 ------ = ------28
D. LOWEST TERM FRACTIONS Reduce the following fractions to the lowest terms. Write your answer on the space provided for each numbers. (10) 1. 36 ----- = -----48
6.
45 ------ = ------54
2. 25 ----- = -----75
7. 14 ------- = -------42
6
3. 63 ----- = -----70
8.
60 ------ = -------66
4. 14 ----- = -----35
9.
13 -------- = ------52
5. 30 ----- = -----36
10.
56 ------- = -------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.
3 ---4
♧ ♣ ♧ ♣ ♧ ♧
(shaded)
4.
5.
45 ---36
1 1 ---4
♕ ♛ ♕ ♛ ♕ ♛
B. Arrange the following fractions. Write 1, 2, 3 on the blank under each fraction.
7 Least to greatest 1.
14 ----6
Greatest to least
5 -----8
1 3---4
7 2. -----6
______ ______ ______
3.
12 ----9
______ ______ ______
Least to greatest 4 3 ----7
3 1 ---3
Greatest to least
9 3 -----14
1 3 ---2
3 4. -----4
______ ______ ______
4 ---10
36 ----40
______ ______ ______
III. ADDITION AND SUBTRACTION OF LIKE FRACTIONS AND MIXED NUMBERS A. Add or subtract the following fractions. Reduce the answer to lowest terms. (5) 1. 2.
25 + 12 - _5 27 27 27
______
3 12 + 119_ - 6 = 21
3.
=
21
21
10 - 35
______ =
12 4.
______
7 - 2 15 + 1 6 18
5.
5 25 + 3 10 - 4 50
50
=
18
______ = ______
B. Write an equation then solve for the answer for the given LOM statement. Reduce answers to lowest terms. (10) 1. What is 7⅝ increased by the difference of 4 3 and 1 7 ? 8 8 Equation: _________________________________
2. What number is the sum of 3 13 and 1 17 less 7 ? 28 28 28
8 Equation: _________________________________
3. Twelve more than the difference of 2 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 of 5 and 2 9 . What is the result? 13 13 Equation: _________________________________
9
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 had to chop in half with their bare hands. The contestant who can chop the most number of boards in 3 minutes will get the prize. Each contestant was given 36 equally-sized boards. Toshimasa chopped ¾ of his boards, Yuji chopped 5/12 and 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 needs two 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 the boys 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 he sold 9 more. What part of the barbeque was left unsold?
10 4. Rick’s motorbike had 3 4/5 liters of gas on Tuesday. By Friday, his gas tank had 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 than Lil. 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 ¾ kg to make lanterns. She will use 3 2/3 kg for table decorations. How many kg of husks will be left?
7. The baggage allowance for the flight was 20 kilograms. Carol’s empty suitcase weighed 25/10 kg. The clothes that Carol should pack should therefore not exceed how many kilograms?
11 8. Gary joined the Bikini Bottom Great Snail Race for 2005. He crawled two and a half inches. Then he got confused and went back 1 1/4 of an inch. Then he turned around and crawled another three and two thirds inches in the right direction. How far was Gary at this point?
9. Willy donated 1/3 of his K-Zone Magazine collection to the Spark Hope Foundation. If he has 24 issues left, how many magazines did Willy have in his collection before the donation?
REVIEW YOUR ANSWERS!!
4. ________ 93 5. ________ 92 6. ________ 73
7. _________ 51 8. _________ 79
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
C. 4
D. 6
E. 8
4. Find the G.C.F. of 18 and 8. A. 1
B. 2
2 5. Find the greatest common factor of 12 and 15. A. 6
B. 2
C. 4
D. 5
E. 3
PROBLEM SOLVING: 1. For Reese’s party, Robbin prepared 24 cookies and 18 cupcakes for dessert. What is the greatest number of cookies and cupcakes a table can have so that each table will have an equal number of desserts?
2. Buddha bought some doggie bones and paid Php36.00. Midnight bought the same brand and type of doggie bones and paid Php54.00. At most, how much was 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
2) Find the Least Common Multiple (L.C.M.) of 4 and 9. A. 9
B. 18
C. 27
D. 36
E. 72
3) Find the Least Common Multiple (L.C.M.) of 8 and 24. A. 24
B. 48
C. 72
D. 96
E. 192
4) Find the Least Common Multiple (L.C.M.) of 5 and 12. A. 12
B. 30
C. 60
D. 90
E. 120
5) Find the Least Common Multiple (L.C.M.) of 6 and 9. A. 9
B. 18
C. 36
D. 54
E. 90
3 PROBLEM SOLVING: Susan walks every 5 days. Her friend Alice walks every 4 days. If they went jogging together on December 10, 2008, on what date will they jog together again?
2. Two buses leave the terminal at 8 am. Bus 36 takes 60 minutes to complete its route; bus 87 takes 75 minutes. When is the next time the two buses will arrive 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 region or set. Write your answer on the space provided for each number. (10)
1. ________ 2. _________
3. ____________ (unshaded) 4. __________ (shaded)
♕ ♛ ♕ ♛ ♕♛ ♕
☻ ☻
☺ ☻ ☺ ☻
☺☻ ☺ ☺ ☺ ☺
4 DIRECTIONS: Choose the correct fraction that is represented by the point on the number 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 IMPROPER AND VICE VERSA (10) Rename the following mixed numbers to improper fractions.
Rename the following improper fractions to mixed numbers.
=
6.
2. 4 2 7
=
7. 46 / 9 =
3. 1
=
8. 57 / 7 =
4. 3 5 9
=
9. 27 / 4 =
5. 2 5 6
=
10. 35 / 6 =
1.
3
⅝
6 13
75 / 8 =
5 C. EQUIVALENT FRACTIONS Choose the fraction in Column B that is equivalent to the given fraction in Column A. Write the letter of the answer only. You may repeat answers. (5) Column A
Column B
______ 1. 3 / 12
A.
10/30
______ 2. 5 / 30
B. 1/3
______ 3. 1 / 3
C.
______ 4. 2 / 7
D. 6/24
______ 5. 22 / 66
E. 1/4
F. 1/2 G. 1/6
6/21
Solve for the missing term to make each pair of fractions equivalent. Write the answer on the blank. (10) 6. 7 ----- = -----9 36
11.
7. 28 ----- = 3 -----8 8
12.
1 3 ----- = -------12 36
8. 3 18 ----- = -----10
13.
4 5 ---- = -------11 11
9.
14.
24 2 -------- = ------36
15.
21 ------- = -------18 6
5 ----- = 2 -----35
10. 4 36 ----- = -----7
18 9 ------ = ------28
D. LOWEST TERM FRACTIONS Reduce the following fractions to the lowest terms. Write your answer on the space provided for each numbers. (10) 1. 36 ----- = -----48
6.
45 ------ = ------54
2. 25 ----- = -----75
7. 14 ------- = -------42
6
3. 63 ----- = -----70
8.
60 ------ = -------66
4. 14 ----- = -----35
9.
13 -------- = ------52
5. 30 ----- = -----36
10.
56 ------- = -------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.
3 ---4
♧ ♣ ♧ ♣ ♧ ♧
(shaded)
4.
5.
45 ---36
1 1 ---4
♕ ♛ ♕ ♛ ♕ ♛
B. Arrange the following fractions. Write 1, 2, 3 on the blank under each fraction.
7 Least to greatest 1.
14 ----6
Greatest to least
5 -----8
1 3---4
7 2. -----6
______ ______ ______
3.
12 ----9
______ ______ ______
Least to greatest 4 3 ----7
3 1 ---3
Greatest to least
9 3 -----14
1 3 ---2
3 4. -----4
______ ______ ______
4 ---10
36 ----40
______ ______ ______
III. ADDITION AND SUBTRACTION OF LIKE FRACTIONS AND MIXED NUMBERS A. Add or subtract the following fractions. Reduce the answer to lowest terms. (5) 1. 2.
25 + 12 - _5 27 27 27
______
3 12 + 119_ - 6 = 21
3.
=
21
21
10 - 35
______ =
12 4.
______
7 - 2 15 + 1 6 18
5.
5 25 + 3 10 - 4 50
50
=
18
______ = ______
B. Write an equation then solve for the answer for the given LOM statement. Reduce answers to lowest terms. (10) 1. What is 7⅝ increased by the difference of 4 3 and 1 7 ? 8 8 Equation: _________________________________
2. What number is the sum of 3 13 and 1 17 less 7 ? 28 28 28
8 Equation: _________________________________
3. Twelve more than the difference of 2 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 of 5 and 2 9 . What is the result? 13 13 Equation: _________________________________
9
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 had to chop in half with their bare hands. The contestant who can chop the most number of boards in 3 minutes will get the prize. Each contestant was given 36 equally-sized boards. Toshimasa chopped ¾ of his boards, Yuji chopped 5/12 and 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 needs two 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 the boys 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 he sold 9 more. What part of the barbeque was left unsold?
10 4. Rick’s motorbike had 3 4/5 liters of gas on Tuesday. By Friday, his gas tank had 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 than Lil. 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 ¾ kg to make lanterns. She will use 3 2/3 kg for table decorations. How many kg of husks will be left?
7. The baggage allowance for the flight was 20 kilograms. Carol’s empty suitcase weighed 25/10 kg. The clothes that Carol should pack should therefore not exceed how many kilograms?
11 8. Gary joined the Bikini Bottom Great Snail Race for 2005. He crawled two and a half inches. Then he got confused and went back 1 1/4 of an inch. Then he turned around and crawled another three and two thirds inches in the right direction. How far was Gary at this point?
9. Willy donated 1/3 of his K-Zone Magazine collection to the Spark Hope Foundation. If he has 24 issues left, how many magazines did Willy have in his collection before the donation?
REVIEW YOUR ANSWERS!!
