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FIFTH GRADE / FRACTIONS / 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.

  FRACTIONS are

   ♦ 
OUR GATEWAY FROM DISCRETE TO CONTINIOUS
   ♦ which PERMIT US TO GET ALMOST a FULL NUMBER LINE;


 without which WE WOULD NEED a CHANGE of UNITS EVERY NOW and THEN.

    Ref.-1
 
1. The figure below indicates the imports and exports of a province of a country. In the year 2006, exports of the province is $7.351 billions.
What is percent export of the province in 2006 if the same year's export of the country has a value of $85 billion ?

!


a) 7.15
b) 14.41
c) 8.65
d) 21.14
For the year 2006, the fraction of the regional export is 7351/85000 .
To convert tis fraction to % we have to expand/reduce it by 100/85000 so that the denominator will be 100.
The numerator then is :(7351 x 100)/85000 = 7351/850 = ? (the result will be percent value) .
2. The province of the previous question is beautiful, fertile and self sufficient in food production. Its imports should be mainly machines .
Its exports/imports is a proper fraction with almost a constant value over the years. Looking more carefully to the figure of the previous question we observe that exports- imports difference is maximal in 2008.
What percentage has this difference in 2008 ?

!


a) 18
b) 17
c) 21
d) 15
The fraction (11114-8829)/11114 is to be calculated as %. The numerator is 2285 .
The denominator is to be multiplied by 100/11114 to make it 100. The new numerator will be (2285x100)/11114 = (2285 x 50) / 5557 = 114 250 / 5557 .
Taking the denominator approximately 5550 and reducing by 50 : 2285/111 = 20.58
3. If the percentage you got as the answer to the previous question were true for the country whose 2008 exports has a value of $135 billion, what would be net currency input to the land ?

a) 32
b) 28
c) 14
d) 47
(135/100)x21= ?
4. A country has made exports of value $135 billion with an added value of 8% . How many $s is the value added by this country ?

!


a) 15
b) 8
c) 9
d) 10
135/100 x 8 = 270 / 25 = ... (275/25 = 11 i.e. the answer should be around 11.)
In reality 124x1.08=133.92 and the real added value is around 135-125 (difference of 10) giving 125x1.08=135 .
5. This source informs that foreign debts of Turkey has increased between 2006-2010 by 79% and reached a value of $290 billions. How many $s was then the foreign debt of this country at the end of 2005 ?

a) 162
b) 145
c) 157
d) 171
An increase by 79% means it happened to be 1+79/100 as it was 1 .
Solve then (1+79/100)xD = 290 for D to get D = 29 000/179 .
y
6. The figure below indicates exports of a country over 5 years. What will be the fractional part of the first year if it is to be shown with the unit fracton 1/100 ?

!


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



a) 5 135/173
b) 1000/173
c) 6 27/134
d) 900/163


ry1 explains the solution.
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. Auotomotive sector of a country had an imports of value $ 11.882 billion and exports of value $11.279 billions in 2006. Which fraction is obtained if the numerator is the exports-imports difference and the denominator is the smaller of these numbers ?

a) 5/100
b) - 1/20
c) 3/50
d) -3/50
(11279-11882)/11279 = 1 - 11882/11278 = 1 - 11279/11279 - 603/11279 = - 5/100 (find 60300/11278 and divide by 100 .) ?
8. In 2006, a foreign country's exports amounted to $86 billion and imports amounted to $139 billion. What is the rounded % exports/imports fraction (ratio) ?

a) 52
b) 65
c) 58
d) 62


The fraction is 86/139. To make the denominator 100, reduce the fraction by by multiplying with 100/139.
In this case the numerator will be 86 x 100/139 = ... .
9. A foreign country had a trade deficit of $53 billion in 2006 and had a foreign debt which increased to $181.5 billion from $162 billion within the year. If the debt has an interest rate of 5%, which amount of money should have entered the country via other sources than trade ?

a) 33.5
b) 35
c) 42
d) 27
The rounded interest of debts is about $8 billion .
The net amount that has been paid by the country should be $(61-19.5) billion .
10. Which is the fraction with the sum of the negative valued numbers as the numerator and the sum of the positives as the denominator ?

!


a) 1.5
b) 1.38
c) 1.45
d) 1.32
The numbers are of course from the figure .
11. 5/9 of all families in Gargonia own at least one car, and 1/7 of all families in this country own more than one car.
What is the difference of fraction of the families in this country that do not own a car and the fraction of the families that own only one car ?

!


a) 1/32
b) 2/63
c) 3/80
d) 2/67
The first fraction is trivial:4/9; the second is 5/9 - 1/7 = ... So the question is 4/9 - (5/9 - 1/7) = ? .
y
12. One day, a person went to horse racing area. Back in home he said his son that he counted 74 heads and 196 legs and wanted his son to say the fraction of human heads among all heads.
What should the answer of the son be ?


!


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

RY1 RY2



a) 50/74
b) 48/74
c) 46/74
d) 44/74
Please have a look at ry1 .
13. Gargonia imports from France many products including automotive products. In 1997 it imported automotive product of value $242 million and this amounted to $1.4 billion in 2006 and France's share in imports of automotive products rised from 89/1000 to 163/1000 .
Which of the following claims is then certainly wrong ?


a) In 2006 Gargonia's total imports from France amounted to $1.4 billion .
b) In 2006 Gargonia's total automotive imports amounted to $8.6 billion .
c) Between 1997 and 2006 Garonia's automotive imports from France increased by 74/1000.
d) In 1997 Gargonia's total automotive imports amounted to $2.7 billion .
a is certainly wrong according to the text.
14. In 2006 Gargonia has respectively exported and imported automotive supplies industry products of value $4.4 billion and $8.6 billions .
Which (equivalent or equal) fraction will be obtained if exports is taken as the numerator ?

a) 77/134
b) 25/45
c) 21/37
d) 22/43
Which choice is an expanded form of 4.4/8.6 ?
15. In 2006 Gargonia's total exports amounted $86 billion and the value of automotive industry exports was $14.5 billion .
What is then the share of the automotive sector in total exports ?

a) 14/93
b) 17/107
c) 14.5/86
d) 23/98
Just replace the values given .
16. What should A be if 14.5/86 = A/100 is valid ?

a) 18
b) 16.9
c) 21
d) 15
The (rounded) percent answer of the previous question : (rounded) 1450/86 .
17. A source informs us that the share of automotive exports in total exports of Gargonia is 18% whereas we found it to be 16.9% . Which fraction is obtained if the difference of percent values is taken as the numerator and and the smaller percent value as the denominator ?

!


a) 7/86
b) 13/171
c) 12/170
d) 11/169
(18-16.9)/16.9 = 1.1/16.9 = ?
y
18. $162 billion foreign debts of Gargonia increased by 3/25 yearly for five years. What will the final amount be ?

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


a) 325
b) 299
c) 285
d) 227
At the beginning the value is $162 billion .
At the end of the first year it will be ($) 162 x ( 1 + 3/25) = 162 x 28/25 .
If you can not calculate the rest, look at ry1 .
19. Gargonia's imports are in automotive industry in 2006 is $11.882 and in supplies $8.6 whereas its exports in the same items respectively are $11.279 and $4.4 billions .
Which fraction is obtained if imports-exports difference is used as the numerator and exports as denominator ?

a) -0.39
b) -0.30
c) -0.31
d) -0.35
total exports=20482 , total imports=15679 difference=-4803 so the fraction is -4803/15679 = ?
Calculate 48030/15679 and make a shift to left.
20. Gargonia has a foreign trade deficit of $32 billion in 2006. Assuming a yearly increase by 11/100 , which value is supposed to be obtained in 2010 ?

!


a) 37
b) 49
c) 54
d) 61
In 2007 it will be 32x111/100 .
In 2008 it will be 32x111x111/10000 .
In 2009 it will be 32x111x111x111/1000000 .
In 2010 it will be 32x111x111x111x111/100000000 .
21. The following figure indicates the foreign trade deficit of Margonia. The numbers are billion dollars and the red bar is an estimation made beforehand .

!


To which value is 56 to amount by a yearly increase of 1/10 ?

a) 77
b) 100
c) 85
d) 90
This time we have 5 years in between and should calculate 56x11x11x11x11x11/10x10x10x10x10 .
y
22.

!


Gargonia wants to balance the foreign trade deficit of $80 billion. Considering the mean total assets and mean net incomes of the firms given in the figure above in row 2 and 3 for each firm, what should be the amount necessary to invest ?


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

RY1 RY2



a) 1 333
b) 1 500
c) 800
d) 600
Find first the mean net income/total assets ratio for the firms given, i.e. mean of 15/180 + 30/300 + ... .
23. For the companies considired in the previous question, what is the difference of mean "(total income)/(total assets)" and (sum of total incomes)/ (sum od total assets) ?

a) - 0.08
b) - 0.008
c) - 0.006
d) - 0.06
(sum of total incomes)/(sum of total assets) = 5/73 = 0.068 .
24. Which of the choices gives the reason for the difference obtained in Question-23 ?

a) negligible difference.
b) different unit fractions.
c) calculation errors.
d) % calculation.
Unit fractions are different ... .
25. Gargonia is forced to establish 1 million workplaces each year due to population increase. What is the ratio of the necessary investment to the total spending of the country which is $600 billion, if a workplace costs $200 000 ?

!


a) 0.4
b) 0.35
c) 0.33
d) 0.2
After the reductions the question reduces to the calculation of 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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