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FIFTH GRADE / FRACTIONS / TEST 1.2

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. What is the greatest attainable improper fraction from the following figure if the areas having different colors are considered ?

!


a) 64/1
b) 128/1
c) 256/1
d) 512/1
The smallest area is 1/16 ths of 1/4 ths .
2. The brick wall of the following figure is built fractionally on 5 days. If the fractional parts are ordered according to the sizes of the areas, which part(s) are to stay in the middle ?

!


a) 1. and 5. days
b) 4. and 5. days
c) 2. day
d) 4. and 2. days
You may even use your sense of proportion .
3. Consider areas having the same colors in square I in the figure given in Question-1. How many fractions that are equivalent to unity may be attained ?

a) 0
b) 1
c) 3
d) 5
Do not forget that 1 = 1/1, i.e. each area dvivided by self gives a fraction equivalent to 1.
4. Consider areas having the same colors in square II in the figure given in Question-1. Which is the attainable smallest fraction if one is the numerator and the other denom. ?

a) 1/16
b) 1/21
c) 1/35
d) 1/41
blue/yellow, i.e. numerator is 1/16 and denum is 15/16 + 8 /16 + 12/16 .
5. Consider areas having different colors in square III in the figure given in Question-1. How many imporper fractions are attainable ?

a) 10
b) 11
c) 5
d) 7
Yellow over the other 3 and light green over the other 2 are improper. Each color over self gives 1/1 which is also ...
y
6. Consider all 4 squares in the figure of Question-1. What is the fraction of light green areas ?

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



a) 15/64
b) 23/128
c) 7/32
d) 45/256


Assume eacch sguare has a side length of 4 (units). The hardest is the triangle in I; for it have a look at ry1 .
Total light gren area : (1/2) + (1/2 + 1/4) + (1) + (1/2 + 1/8) = 2 + 1/2 + 1/4 + 1/8 = 2 7/8 = 23/8
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. Which fractions below are equivalent to fractions that are not represented in the following figure ?

I : 2/8    II : 3/21   III : 4/36   IV : 5/55   V : 6/60   VI : 7/70

!


a) 2/8 , 3/21 , 4/36 and 5/55
b) 3/21 , 4/36 and 5/55
c) 3/21 , 4/36, 5/50 and 5/55
d) 3/21 , 4/36, 6/60 and 5/55
2/8 is. 1/4 is there though the numbers are not seen .
8. For which A are the fractions (A-9)/14 and (A+5)/28 equivalent ?

a) 9
b) 5
c) 12
d) 23
If A+5 = 2xA - 18 they happen to be equal, more than equivalent .
9. What is the message of the following figure ?

!


a) addition of fractions
b) the role of unit fraction in addition.
c) transformation of a circle.
d) divisions of a circle.


Unit fraction's importance as fractions are added .
10. The brick wall of Question-2 is built by the property owner in 5 days. What fractional part is built the first day ?

a) 8/8
b) 4/9
c) 2/3
d) 2/9
It is already given in the figure .
11. Which choice gives the fractional part built on the 3rd day according to the figure given in Question-2 ?

a) 4/9
b) 2/9
c) 1/9
d) 1/3
1/4 ths of 4/9 .
y
12. Consider the light green and light yellow areas in square IV in the figure given in Question-1. Which fraction is obtained if the first is taken as the numerator and the second denominator ?

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

RY1 RY2



a) 2/3
b) 3/4
c) 5/7
d) 7/9
Please have a look at ry1 .
13. In a certain group of apples and pears consisting of 54 fruits , exactly 1/3 of the apples and exactly 1/4 of the pears are rotten. What is the least possible number of rotten fruits in this group ?

!


a) 14
b) 12
c) 15
d) 10
The number of pears should be divisible by 4, i.e. 4, 8 , 12 , 16, 20, 24, 28, 32, 36, 40, 44, 48 and 52. The apples then are 50, 46, 42, 38, 34, 30, 26 22, 18, 14, 10, 6 and 2. Among the the number of apples are only 42, 30, 18 and 6 are divisible by 3.
The least will be obtained in case of least apples, because 1/3 of them are rotten . (1/3)x6=2 and 1/4)x48=12
14. 1/11 and 7/9 of the yearly revenue of a company is given respectively to the executives and workers as salary. 1/33 was spent for advertisement and the rest is $277 000. What was the revenue of this company ?

a) $2 542 500
b) $3 542 300
c) $1 742 500
d) $2 742 300
The sum of the fractions given is 89/99 .
15. The numerator is the volume of the big bottle and the denominator is of small. Which fraction is this ?

!


a) 2 2/19
b) 1 12/19
c) 2 1/19
d) 1 17/19
Liquids are homogeneous mixtures; sugars indicate the amounts of the bottles .
16. 1/3 of the students on the shown part of the classroom are boys. If there are 4 more girls than boys, how many students are there in the shown part ?

!


a) 4
b) 6
c) 5
d) 2
Simple but scalable .
17. 3/7 of the students, taking physics-101 course are girls. If there are 28 more boys than girls, how many students are taking the course ?

a) 196
b) 186
c) 144
d) 128
The whole class : 3/7 + 3/7 + 28 which means 1/7 of the class consisits of 28 students .
y
18. 1/17 of the students taking mathematics-101 course are sophmores whose 4/9 ths are girls.
All other students taking the course are freshman whose 7/12 ths are boys . If there are 24 more boys than girls, how many girl students are taking the course ?


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


a) 58
b) 64
c) 46
d) 66
The number of students should be a multiple of 17 i.e. 17, 34, 51, 68, 85, 102, 119, 136 ... .
The number of sophmores should be a multiple of 9 i.e. 9, 18, 27 ... . If 9 sophmores then 144 freshmen.
19. 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 = ?

a) 11/24 + 11/18 + 12/35
b) 25/24 + 11/18 + 12/35
c) 25/24 + 17/18 + 12/35
d) 25/24 + 11/18 + 17/35
Write as : 1/2 + 1/4 + 1/6 + 1/8 + 1/3 + 1/6 + 1/9 + 1/5 + 1/7 = (12+6+4+3)/24 + (6+3+2)/18 + 12/35 = ... .
20. 1/24 + 11/18 = ?

a) 1/2
b) 38/71
c) 47/72
d) 17/47
72 is the common denom .
21. 1 47/72 + 12/35 ?

a) 5005/2514
b) 2 1/51
c) 2
d) 5029/2520
72x35=2520 is the common denom.
y
22. A family, mama and papa, had three boys and a pet, a squirrel. Once upon a time they also had a certain amount of walnuts.
One evening papa came late and ate 1/8. Gave to the squirrel 2.
The oldest son got up and ate 1/9 of the rest. Then ate the younger son 8 walnuts.
The youngest son got up also and ate 1/10 of the rest.
Mama gave to the squirrel 3 walnuts and ate 1/11 of the rest. Counted the rest, found 30.
How many walnuts were there at the beginning ?


!


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

RY1 RY2



a) 66
b) 84
c) 64
d) 48


Begin from the end. If no success then have please a look at ry1.
23. Which choice is the the correct order of the fractions 5/3, 5/7, 5/6 and 5/2 ?

a) 5/7<5/6<5/3<5/2
b) 5/2<5/3<5/6<5/7
c) 5/7<5/3<5/6<5/2
d) 5/2<5/6<5/3<5/7
All numerators are the same, greater denominator means smaller fraction .
24. If 2 is added to the 3/7 ths of half of a number, 11 is obtained. Which number is this ?

a) 44
b) 42
c) 36
d) 39
9 should be 3/14 ths of the number.
25. If 1/7 ths of a wire is cut the midpoint shifts by 3 cm. How long should this wire originally be ?

a) 38 cm.
b) 28 cm.
c) 42 cm.
d) 46 cm.
The part cut should be 6 cm. long .
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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