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FIFTH GRADE /DIVISION / TEST 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.

 Method(s) of DIVISION of INTEGERS   is  (are)
 ♦ 
METHOD(s) of DETERMINING the RESULT  (QUOTIENT) of
 ♦ HOW MANY TIMES A NATURAL NUMBER  CALLED a  DIVISOR

 ♦ CAN BE SUBTRACTED FROM / IS CONTAIN-  ED IN ANOTHER NATURAL NUMBER CALLED
 a DIVIDEND


 and WHICH NATURAL NUMBER (REMAINDER,  LESS THAN DIVISOR) STAYS BEHIND.
  Ref.-1
1. The surface of the Earth may approximately be taken as 450 000 000 000 000 m.2 (Q-16). Dividing this number by 4,we may find the area of the lands on Earth.
How big (m2) is that area ?

a) 117 500 000 000 000
b) 112 500 000 000 000
c) 11 250 000 000 000
d) 11 750 000 000 000
Find 450/4 and add 12 zeros.
2. Assuming that the population of the World is 7 billions, how many m2 will the per capita land be ?

a) 16 081
b) 16 071
c) 16 771
d) 16 811
Round to the nearest natural number.
3. In order to know per capita agricultural land we need to know the total. We could not find the exact area in www. We could only find some data in a pdf document from which we deduced the area should be around 10 500 000 000 000 m2 .
How many m2 will then per capita agricultural area be ?

a) 2 000
b) 2 500
c) 1 500
d) 1 750
Find 10500/7 , just this simple .
4. Let us make two further assumptions:
1- 1/3 of the agricultural land is used for dairy animal feed.
2- 1/2 of this feed area is for producing milk.
These assumptions mean per capita land for producing milk is 250 m2. Since the average daily yield per cow is around 16 l. and and we need 4 000 m2 area per cow, average per capita daily milk production is 1 kg.
In order to find the amount of protein in milk we need to divide the amount of milk by 35. How much is then per capita daily , rounded to the nearest natural number, milk protein on Earth ?

!


a) 29 g.
b) 27 g.
c) 38 g.
d) 18 g.
1000/35 = ?, should be rounded .
5. The agricultural land in Turkey is pretty well known: 350 000 000 000 m2 .
If 1/6 ths of this land is used for dairy animal feed, how many cows will then be feeded in Turkey ?

Note: A dairy animal needs 4 000 m2 of space.

a) 15 583 333
b) 14 583 433
c) 15 584 333
d) 14 583 333
Per cow 4 000 m2 for a cow means we need to calculate 350 000 000/24 .
y
6. If we divide the greater of two consecutive Fibonacci Numbers by the smaller we see, as the numbers increase, the quotient tends to be a constant which is called the Golden Ratio. This is r=1.6180339887 .
Which of the choices explains the reason of this constant ?

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



a) the quotient oscillates around r.
b) onece the quotient happens to be this number, Fibonacci Numbers end.
c) the quotient has a limit.
d) once the quotient is 1.618, it can not change (much) any more .


Please have a look at ry1 .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. In this reference the number of firms having foreign shareholders in Turkey is seen as 25 800 .
Assuming that the total number of firms is 1 million, what will be the greater one of the quotients (rounded to the nearest natural number) after dividing these numbers by each other ?

!


a) 39
b) 53
c) 49
d) 67
1 000 000/25 800 = ?
8. What will be per capita used milk protein, in g. and rounded to the nearest natural number, in a country that produces per capita 3 kg. of milk ?

a) 91
b) 88
c) 86
d) 95


Calculate 3000/35 and round the result.
9. Looking in www we see that Turkey produces 12 billion kg. of milk per year. What will then per capita daily consumption in grams, which choice is the nearest number to this consumption ?

!


a) 100
b) 500
c) 250
d) 750
Which of the choices is closest to 12 000 000/(75x365)= ?
10. What will be rounded per capita daily consumed milk protein if we consider the answer to the 9. question to be correct ?

a) 17
b) 12
c) 15
d) 14
500/35 = ?
11. Daily protein need of an human is practically said to be so many grams as his/her body weight in kg. A man weighing 80 kg. needs 80 g. of protein.
If a country with a population of 75 millions consumes 3 750 000 000 g. of protein per day, how many kilograms should its citizen's average weight then be ?

a) 50
b) 60
c) 45
d) 40
3 750 000 000 kg./75 000 000 = 3 750 kg./75 = ? kg.
y
12. We want now to question if the Golden Ratio is due to the numbers we begin with or the method we produce them with. To this end we take the numbers 1 and 10 to begin with and we use them the same way as we produce the Fibonacci Numbers.
What is the quotient if the 21. element is divided by the 20. ?


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

RY1 RY2



a) 1.618
b) 1.745
c) 1.666
d) 1.555
71831/44394 = ?
13. What is the yield in kg./1000 m2 if a country cultivates wheat on 90 billion m2 and produces 20 billion kg. wheat ?

a) 222
b) 525
c) 350
d) 250
Be careful about the units. Yield per m2 is 2/9 kg.
14. How big is the land in m.2 per farmer family if a country has 5 million farmer families and 350 000 km2 of agricultural land ?

a) 100 000 m2
b) 40 000 m2
c) 50 000 m2
d) 70 000 m2
350 000/5 = ?
15. A small farmer having 100 000 m2 land has produced 25 t. of wheat and made meanwhile the following expenses:
1- 2 tons of seed : $1000
2- Fuel : $700
3- Manure : $ 800
4- Other expenses : $1050
How much $ did he earn from 1 000 m2 of land if he has sold this yield for $300 per ton ?

a) 22.5
b) 42.5
c) 39.5
d) 44.5
He has sold total yield for $7500, and his expenses are $3550 .
16. What will be per capita rounded monthly income of the farmer family of the previous question if this family has 5 members ?

a) $67.5
b) $66
c) $375
d) $221
3950/60=?
17. A small famer has three children going to school. He earns $7900 in a year all of which he spends for these school boys. How many dollars will his monthly expense be for one of these children if a school year is accepted to be 9 months ?

!


a) 545
b) 450
c) 315
d) 293
7900/27 = ?
y
18. If a country with a population of 75 millions produces 224 million liters of milk per day, what will be then per capita daily milk produced by this country rounded and coded in base-2 ?

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


a) 110
b) 100
c) 11
d) 10
Base-2 uses only two bits (binary digits) 0 and 1. For 2 we need a shift, a new place. 2 is 10 in base-2 .
3 is 2 and 1 , i.e. 10 and 1 which is 11 . Have please a look at ry1 .
19. Once it was given in Wikipedia that total assets of Mitsibushi is 198 700 billion Yen and year 20xx revenue is 3 273 Yen. These numbers correspond approximatley to $2 500 billion and $41 billion .
What will the quotient be if assets is divided by revenue ?

a) 51
b) 41
c) 61
d) 21
198 700/3273 = ?
20. What will the same quotient ( of previous question) be for Siemens which has total assets of €102.83 and revenue €75.98 billion. ?

a) 1.53
b) 1.35
c) 1.50
d) 13.5
305407 >10 283/7 598 = ?
21. The Wallmart, a retailer corporation that runs chains of large discount department and warehouse stores has differing numbers. For it, total assets are $180 663 and revenue is $421 849 million.
What does it have for a quotient ?

a) 0.43
b) 1.43
c) 0.73
d) 0.54
180 663/421 849 = ? Say 180/420 = 3/7 = ?
y
22. For a country it is difficult to know these numbers. For Turkey let us make the following assumptions:
1- Agricultural land = $1.75 trillion.
2- Companies = $5 trillion.
3- Buildings = $0.5 trillion.
4- Roads, Ways = $0.1 trillion.
5- Mines = $1 trillion.
6- Others = $1.65 trillion.
So let us take for this country the following numbers : Total assets = $ 10 trillion and revenue $1 trillion. The quotient is obviously 10.
Which result may we deduce considerig these numbers ?

Note: QA stands for average quotient of the 3 firms mentioned in the previous questions.


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

RY1 RY2



a) QTurkey < QA
b) QTurkey > QA
c) QTurkey = QA
d) QTurkey = 3 x QA


Find the average value of the quotients of these 3 companies and compare with Turkey's value .
23. 1.333333333333333333334/0.666666666666666666667 ?

a) 3
b) 2
c) 1.666666666666666666667
d) 1.333333333333333333334
Take care of the fact: (1+1/3)/(1-1/3) = (4/3)/(2/3) .
24. In a country there are 1.8 workers for each retiree. Considering that retirees will get their money from the work of the workers, which amount earns an average worker who produces a worth of $2 800 ?

a) $1 000
b) $1 800
c) $2 500
d) $1 600
Take care of the fact that 1.8+1 = 2.8 .
25. A country producing a GNP of $600 billion a year needs to have 1 million workplaces per year.
If $200 000 is needed per workplace, what will be the quotient if total workplace expenses is divided by the GNP ?

!


a) 0.4
b) 0.35
c) 0.33
d) 0.2
1/3 = ?
This is the feedback!

THANK YOU FOR YOUR VISIT; HOPE WE COULD BE OF USE.
FOR MUTUAL BENEFIT YOU MAY USE OUR FORUM.
© 2011 , İsmail GERMAN. ALL RIGHTS RESERVED
PLEASE PREFER GIVING LINK IF THAT SUFFICES

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