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FIFTH GRADE / FRACTIONS / TEST 1.1

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 area of the whole circle in the following figure is 45 cm.2. What is the fraction of the part with "?" in ?

!


a) 7/33
b) 7/44
c) 9/38
d) 1/5
The total area given is 36 cm.2 .
2. The circles are concentric and the greater circle's diameter is twice the smaller's. Which fraction corresponds to the red part ?

!


a) 1/2
b) 1/1
c) 2/3
d) 3/2
The red part should be thrice the yellow .
3. What is the result of the operation given in the figure below ?

!


a) 3/4
b) 2/3
c) 5/6
d) 4/7
The denominators are common .
4. The figure below indicates the number of daily visitors of a newbie website in a week. What is the fraction of visitors entered on Friday ?

!


a) 39/175
b) 47/175
c) 27/179
d) 39/179
Just add all the daily numbers up .
5. A cylindrical shape is cut as seen in the figure below. Parts of same colors are equal.

What will the unit fraction be ?

!


a) 1/8
b) 1/12
c) 1/9
d) 1/15
Is cut into 4 parts once and then into three parts .
y
6. What is the following figure trying to conduct ?

!


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



a) 2/5 + 5/10 = 49/50
b) 3/5 + 5/12 = 49/60
c) 3/5 + 5/12 = 49/60
d) 2/5 + 5/12 = 49/60


Please have a look at ry1 .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. What is the following figure trying to conduct ?

!


a) 2/5 / 5/12 = 49/60
b) 2/5 x 5/12 = 49/60
c) 2/5 x 5/12 = 10/60
d) 2/5 / 5/12 = 10/60
This time multiplication. You can check the result by finding the product.
8. For which values of A the equation (A-1)/(A+1) = 1 happens to be approximately true ?

a) positive and very great values.
b) negative values.
c) positive or negative very great values.
d) negative and very great values


Put A = 1 000 000 000 and try how approximate the result is .
999 999/1 000 001 = 0.999998000001999998000001999998 and
1 000 001/999 999 = 1.000002000002000002000002000002 .
9. What should the value of 1/(A-1) be if (1/A)=5 ?

a) 4/5
b) -5/4
c) -4/5
d) 5/4
1/A = 5 means A = 1/5. One way may be to evaluate 1/(1/5 - 1 ) = 1/(-4/5)= ?
The second possibility is to reduce the fraction by A and get : (1/A)/(1-1/A) = 5/(1-5) .
10. Why does 1/(1-A) behave approximately like 1+A for very small A, e.g. A=1/1 000 000 ?

a) 1/(1-A) = 1+A means 1 = 1 - AxA
b) 1/(1-A) = 1+A means 1 = 1 - AxAxA
c) 1/(1-A) = 1+A means 1 = 1 - AxA and AxA is really very small for small A .
d) 1/(1-A) = 1+A means 1 = 1 - A and A is really very small for small A .
For A=1/1 000 000 = 0.000001 we have 1/(1-A) = 1.000001000001000001000001000001 and 1+A = 1.000001 .
11. 1/2 of the class has brown , 1/3 of the rest of the class has blue and the rest of the class has green eyes. If there are 36 kids in the class, how many kids have green eyes ?

!


a) 10
b) 12
c) 11
d) 13
Half of the class is 18 .
y
12. As we have mentioned earlier, the simpler the denominator the better. One of the choices consists of two fractions with simpler denominators whose sum gives 2/(1-AxA).
Which choice is this ?


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

RY1 RY2



a) 1/(1-A) + 1/(1+A)
b) 1/(1+A) + 1/(1+A)
c) 1/(1-A) + 1/(1-A)
d) 1/(1-A) - 1/(1+A)
1/(1-A) + 1/(1+A) = (1+A+1-A)/(1-AxA)
13. Which of the folowing statements are correct ?

I: There are 3 types of fractions: Proper fractions, improper fractions and mixed fractions/numbers .
II: By improper fractions the numerator is always greater than the denominator .
III: Equivalent fractions are equivalent to unity .
IV: Fractions that are equivalent to unity are improper .


a) I , II and III
b) Only IV
c) II and III
d) I and IV
1/2 is a proper fraction while 1/2 + 1/2 is equivalent to unity and improper .
14. Which choice is A if A + 3/9 = 27/9 ?

a) 24
b) 24/9
c) 18
d) 2
How many 3/9 is there in 27/9 ?
15. How many fractions are there between 1/5 and 3/7 with a numerator being a natural number and denominator being equal to 70 ?

a) 14
b) 15
c) 30
d) 28
1/5 = 14/70 and 3/7 = 30/70 .
16. Which of the following comparisons are wrong ?

I :11/12 > 59/13   II : 18/45 < 6/11  III : 2/7 = 20/70    IV : 1/35 < 1/20 > 1/18

a) I and IV
b) Only I
c) Only IV
d) I , II and IV
IV is wrong + ... .
17. Which fractions in the table below have no equivalent ?

!


a) C-1, C-4 and B-2
b) C-1 and C-4
c) C-1 and B-2
d) B-3 and A-4
C-1 has none .
y
18. In the following figure there are some rows that contain "lengths" twice of them being equal to another length in another row. How many fractions are there in rows having this property ?

!


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


a) 42
b) 24
c) 12
d) 6
Have please a look at ry1 .
19. Which sign should be placed between the fractions (A-9)/14 and (A+5)/28 if A is an integer between 1 and 10 ?

a) =
b) >
c) <
d) ≥
Try for A=2 and A=9.
20. The interval 24 to 27 on number axis is divided into 8 equal parts by placing a small crossing line segment on corresponding points. A is the number corresponding to the 5th line segment after the first.
A = ?

a) 26 1/4
b) 25 1/2
c) 25
d) 26 1/2
24 3/8 , 24 6/8 etc. ... .
21. Which choice is correct for A if 3/5 < A < 5/7 ?

a) 2/5
b) 4/6
c) 7/9
d) 9/11
The numerator and denominator of 4/6 are between the other numerators and denominators .
y
22. How many natural numbers exist that make the fractions (A-9)/14 and (B+5)/28 equivalent as A is a natural number (0 excluded) less than 11 ?

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

RY1 RY2



a) infinitely many
b) 9
c) 5
d) 2


Have please a look at ry1.
23. Which is the smallest among the fractions below ?

a) 25/110
b) 22/157
c) 23/159
d) 100/39
b or c, one of them ... .
24. 9999 99/100 - 10000 = ?

a) 1 99/100
b) 1/100
c) -1 99/100
d) -1/100
Get first 99/100 - 1 ...
25. Which figure corresponds to 260/650 ?

!


a) I
b) II
c) III
d) IV
Reduce first 260/650 to get 2/5 ...
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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