Halloween Sales, Save Up to 50% + Free shipping
Register.com Hosting 125x125
Over 1500 products from Teacher Created Resources
Over 1500 products from Teacher Created Resources


ClickN KIDS Beginning Reading & Spelling Programs
ClickN KIDS Beginning Reading & Spelling Programs
ClickN KIDS Beginning Reading & Spelling Program



$4.99/month Websites at Network Solutions!
FREE .MOBI with a goMobi™ Mobile Website Take your business mobile with the nsMobile™ suite
Try the new 5-Factor Snack bars
gb
     Test     
-Dr.
com
hz

SIXTH GRADE / GREATEST COMMON DIVISOR and LEAST COMMON MULTIPLE / TEST 3.1.3

MATHEMATICS IS EASY. PROVIDED THAT ONE WORKS ENOUGH.
ENOUGH IS SKILL DEPENDENT, HAVE TO FIND "ENOUGH" FOR YOUR SIZE.

SOME OF OUR QUESTIONS ARE REALLY HARD, FOR THOSE THAT ARE SKILLED IN MATH.
SKIP THEM IN CASE NOT FOR YOU.

IF YOU DESIRE SO, WE CAN DISCUSS HARD/INTERESTING QUESTIONS IN OUR FORUM.

 GCD and LCM

    ♦ 
We preferred to introduce htese concepts earlier.
    ♦ We believed if a rational number is to be reduced, GCD is to be used.
    ♦ If the denominators are to be equal, the LCM is to be looked for.

    Ref.-1
    Ref.-2
1. LCM(A,B,24) = ? when LCM(A,B) = 18 .

a) no LCM
b) 72
c) 48
d) 96
Find LCM of 18 and 24 .
2. What is the product of LCM and GCD of the numbers 20, 24, 40 and 48 ?

a) 960
b) 840
c) 1240
d) 680
LCM is appearently 240 .
3. Find the LCM and GCD of the numbers 40, 120 and 140 by listing multiples and divisors .

a) 20 and 720
b) 40 and 720
c) 20 and 840
d) 10 and 840
Divisors :
40divisor={1,2,4,5,8,10,20,40} ;
120divisor={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120} ;
140divisor={1,2,4,5,7,10,14,20,28,35,70,140}
Multiples :
40multiple={40,80,120,160,200,240,280,320,360,400,440,480,520,560,600,640,680,720,760,800,840,...} ;
120multiple={120,240,360,480,600,720,840,960,...} ;
140multiple={140,280,420,560,700,840,980,...} .
4. Find the LCM and GCD of the numbers 40, 120 and 140 by prime factorization .

!

a) 20 and 720
b) 40 and 720
c) 10 and 840
d) 20 and 840
Green rows are for GCD .
5. The students of 3 different schools visiting the Selimiye Mosque will climb in groups to the 3 different balconies via 3 different stairways. The number of students of each school is 150, 168 and 184. What is the maximum possible group size same for each school ?

!

a) 8
b) 12
c) 4
d) 6
GCD of the numbers given = ?
y
6. The table below gives the factors of the number 72 000 = 26x32x53 that are divisible by 8 and not by 9. Which of the following(s) is/are true ?

!

1- The 3rd power of 2, i.e. 8, and its higher powers are the factors in the first row .
2- The factors 32 and 3x5x5 that are in the table have 800 as LCM.
3- All factors in the table, all couples chosen from the first row and column, have 1 as the GCD.
In case of need for tips get the cursor on "y" or for help click at "ry1/2" .
RY1 RY2



a) all
b) 2 and 3
c) 1 and 3
d) only 3


Have a look at ry1.
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. The number A is the product of natural numbers between 1 and 20 (limits not included) and B is the product of natural numbers from 1 to 15 (limits included .
LCM(A,B)/ GCD(A,B) = ?

a) 66 454
b) 75 245
c) 84 084
d) 93 024
A=2x3x ... x 19 and B=1x2x3x ... x14x15. This means A = 16x17x18x19 x B , i.e. a multiple of B.
16x17=16x(16+1)=256+16=272 ... and the question : 272x342 = ?
8. The number A is the product of natural numbers between 1 and 55 (limits not included) and B is the product of natural numbers from 1 to 55 (limits included . What will be the LCM of the numbers of 5 and its multiples in the set of their prime factors ?

a) 110
b) 1
c) 11
d) 7
A=2x3x ... x53x54 and B=1x2x3x ... x54x55
There are multiples of 5 but only a lone 5 in each set since the sets are of prime factors .
9. Which number replaces the question mark in the table ?

!


a) 3054
b) 2940
c) 2866
d) 3246
The product of 3 numbers is not the product of their LCM and GCD .
10. Which number replaces the question mark in the table ?

!


a) 588
b) 674
c) 368
d) 688
The product of 2 numbers is the product of their LCM and GCD.
11. LCM(21,28,35) / LCM(21,28) = ?

a) 15
b) 3
c) 5
d) 7
It should be a prime factor, isn't it ?
y
12. What is LCM(78,A) where A is the answer to the question "In how many different ways is it possible to construct set-proper subset pairs having less than or equal to 3 elements if the set {1,2,3,4} is given ?" ?

In case of need for tips get the cursor on "y" or for help click at "ry1/2".

RY1 RY2



a) 1950
b) 2012
c) 1985
d) 1876
LCM(50,78) = ?
13. What will be GCD(150,A) + LCM(150,A) if 5xA is the number that should be in the red region of the figure ?

!


a) 2280
b) 2410
c) 2520
d) 2074
The sum GCD(150,160) + LCM(150,160) = ?
14. What will be the LCM of the first two primes whose sum is the square of a natural number ?

a) 166
b) 332
c) 233
d) 323


The first couple of elements of the ordered primes set: 2,3,5,7,11,13,17,19,23,29,31,37,...
14. What will be the LCM of the first prime number (set considered as an ordered set from least to greatest) that can be written as the sum of the squares of two natural numbers and its summands ?

a) 468
b) 484
c) 552
d) 422
LCM(4,9,13) = ?
16. The arena below is built in 79 A.C. What is the LCM with its closest (prime) neighbor ?

!


a) 8456
b) 7347
c) 5677
d) 6557
LCM(79,83) = ?
16. What is the LCM of the orders (order numbers) of the places of L and P in the alphabet ?

!


a) 46
b) 19
c) 16
d) 48
LCM(12,16) = ?
y
18. Which result are we to get if we code the group of letters "PLPAUKP" by using the LCM of the letters' and their next's orders in alphabet, use mod-26 and then use the corresponding letter ?

In case of need for tips get the cursor on "y" or for help click at "ry1/2" .
RY1 RY2


a) OGRETI?
b) OMURCK?
c) LLPUWT?
d) OOCGTI?
mod-26 practically means divide by 26 and get the residue. Have please a look at ry1.
19. GCD(45xA2xB3,15xA2xB2) = ?

a) 15xA2xAB2
b) 15xA2xB2
c) 15xA2xA2
d) 15xA2xB3
Treat letters as if a "prime factor" since their values are not known .
20. Prime factorization is done in the figure. What is the LCM ?

!

a) 45xA2xB3
b) 45xA3xB3
c) 15xA2xB3
d) 15xA2xB2
The first is 3xB times the second, i.e. a multiple .
21. (GCD(40 , 44 , 48) x LCM(40 , 44 , 48)) / (GCD(40 , 44) x LCM(40 , 44)) = ?

a) 8
b) 6
c) 12
d) 18
The denominator has GCD = 4 and LCM = 2640 .
y
22. In question 18 we coded the letter group "PLPAUKP" with the help of LCM and got "LLPUWT?". How can anyone find the original form via the gotten letter group and the knowledge of the method used ?

In case of need for tips get the cursor on "y" or for help click at "ry1/2" .

RY1 RY2



a) can not
b) pretty easy
c) pretty hard
d) easily


Have please a look at ry1 .
23. Sami and Moustapha has set sail frtom Turkey to Cyprus. Sami mans the helm for 30 minutes and takes a break and Moustapfa mans for 25 and breaks. How many times should they have manned the helm till destination if for equal durations ?

!


a) 3 and 5
b) 7 and 8
c) 5 and 6
d) 2 and 7
An LCM question. 5 hours are enough till their destination .
24. Three satellites are horizontally aligned above the Equador. First satellite orbits the earth in 10 hours, the second orbits the earth in 12 hours, while the third satellite orbits the earth in 14 hours. In how many hours will they attaşn their original relative positions ?

!


a) 420
b) 240
c) 280
d) 360
LCM(10, 12 , 14) = ? .
25. GCD(209 898, 107 334) = ?

a) 16
b) 7
c) 18
d) 9
The numbers are almost huge but the method stays the same .
This is the feedback!

THANK YOU FOR YOUR VISIT; HOPE WE COULD BE OF USE.
FOR MUTUAL BENEFIT YOU MAY USE OUR FORUM.
© 2012 , İsmail GERMAN. ALL RIGHTS RESERVED
PLEASE PREFER GIVING LINK IF THAT SUFFICES

Share |


  
=> test-dr.com
  Logout
   Login



AbeBooks.co.uk - Used, rare and out-of-print books

www.abebooks.co.uk - Used and out-of-print books



DON'T JUST TEACH YOUR KIDS TO READ




TEACH THEM TO QUESTION WHAT THEY READ



TEACH THEM TO QUESTION EVERYTHING!











Work with Test-Dr.com
TO HAVE RECESS

VoltRank: Link Exchange
Review www.test-dr.com on alexa.com
Get our toolbar!
Alexa Site Audit



Kids, you may need to consider;
1- The tree may live 5-50 times longer than a cottage.
2- A university education, if possible a PhD, will help you understand natural phenomena better.
3- You may need to form unions in order to increase your individual strength.
4- Something may be lacking, something not mentioned here may be lacking since we seem to be behind Chief Seattle and on the way to realize his predictions in spite of all our education.

Think You Can Teach Abroad
Register.com SEO 300x250 banner

4GB Trendy Spy Camera Camcorder Video Recorder Watch for $32.99 + Free shipping with coupon code 4GBSPY at Mostbuying.com

Web-Based Lesson Planner
Body Fat Monitors
Network Solutions - $5.99 per month Hosting
Up to 70% off Domains at Network Solutions Take your business mobile with the nsMobile™ suite


Online Reference
Dictionary, Encyclopedia & more
Word:
Look in: Dictionary & thesaurus
Medical Dictionary
Legal Dictionary
Financial Dictionary
Acronyms
Idioms
Encyclopedia
Wikipedia
Periodicals
Literature
Other languages:
by:
TTNET’in “Yeteneğe Destek, Yaratıcı Ekonomiye Destek Projesi”yle, gençlerimiz yeni kariyer firsatlarını keşfediyor.

Bilişim sektörüyle tanışan gençler, aldıkları eğitimlerle iş hayatına hazırlanıyor. TTNET, Türk ekonomisine destek oluyor. Siz de bu ücretsiz eğitimler hakkında bilgi almak için hemen tıklayın.

Bir bumads advertorial içeriğidir.
Silver Bangles
Handcrafted by Thai
hill tribe artisans
RCA Ieftin
Parerea clientilor
despre site
click ways to make
fast money with
google
check online
money-making
opportunity
High quality link
building service
for
top SEO results.
Jewelry Logo Casting
custom designs, logo
rubber mold &master
site binary options
affiliate
program