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FIFTH GRADE /NATURAL NUMBERS / 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.

  
 NATURAL NUMBERS,

  WE TAKE THE COUNTING NUMBERS 1, 2, 3, ... 

 ♦  SOMETIMES WE ADD 0 TO THEM and WE GET THE NATURAL NUMBERS

IN OTHER WORDS THE NATURAL NUMBERS ARE
THE NUMBERS (0), 1, 2, 3, 4, ...

  0 BEING NOT NECESSARYLY INCLUDED.
1. The 100 m. world record holder Usain Bolt ran this distance in 9.72 s. in 2008. The number given is a decimal number and 72 after the comma means % 72 of a second.
Which of the following choices gives this record in terms of seconds and split-seconds, split-seconds rounded to the nearest natural number ?

!
a) 9'' 43'''
b) 9''15'''
c) 9'' 42'''
d) 9'' 72'''
Solve for A from 72/100 = A/60 .
2. The first four of the numerical equivalents of quantities, seen in the graph below, are given in the choices rounded to the nearest hunderts. Which of these is incorrect ?

!


a) 200
b) 600
c) 400
d) 500
Please observe carefully how 500 is attained .
3. Jasmin counts the trees in an orchard 2 by 2 and one remains. If she counts 3 by 3 and 5 by 5 none remains and counted 11 by 11, 5 remains.
What should be the least number of trees in this orchard ?

!
a) 195
b) 185
c) 225
d) 205
The number of trees must be a whole multiple of 3 and 5 means it increases 15 by 15. Since it is an odd number, increase 30 by 30 beginning from 15. So 15, 45, 75, 105 ... are candidates.
4. How are the questions of the type "How many natural numbers are there between 1755 and 10300 (limits not included) ?" to be answered ?

a) By giving the difference of the numbers.
b) By calculating the difference of the numbers and adding 1 to the result.
c) By solving A = 10300 - 1756 for A .
d) By calculating the difference of the numbers and subtracting 1 from the result.
Answer the simplest case by taking the numbers as 1 and 3 .
5. What can the sum of 2 3-digit numbers maximally be if their difference is 336 ?

a) 336
b) 1662
c) 966
d) 962
The greatest 3-digit number is 999, take care of this please .
y
6. The 5-A class of Jefferson Primary School has 40 lockers and 40 students. On the first day of school, the class meets outside and agree on the following plan: The first student will enter the school and open all the lockers belonging to the class. The second student will then enter the school and close every locker with an even number 2, 4, 6, 8,... . The third student will then reverse" every third locker 3, 6, 9, 12,... . That is, if the locker is closed, the student will open it; if the locker is open, he/she will close it. The fourth student will then reverse every fourth locker, and so on until all 40 students in turn have entered the building and reversed the proper lockers.
Considering only the first 10 lockers , which ones should finally remain closed ?

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



a) 2, 5, 6, 7, 8 and 10
b) 1, 4, 8, 9 and 10
c) 1, 4, 9
d) 1, 2, 3, 4 and 5
Please have a look at the ry1 .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. In question 12 of our previous test we introduced you base 16 coding of computer engineers.
Which of the following choices should then be the right formula transforming the first 4 digits of this coding to base 10 coding ?

a) V x 1 + W x 16 + Y x 256 + Z x 4096
b) V x 1 + W x 16 + Y x 256 + Z x 4095
c) V x 1 + W x 16 + Y x 255 + Z x 4095
d) V x 1 + W x 15 + Y x 255 + Z x 4095
A number coded in base 10 should be obtained as a number in base 10 via the formula. In base 16 coding the fist place has a place value of units, the second has 16, third has 256 and fourth has 4096 .
8. Which of the following statements are true ?

I: Natural numbers are the counting numbers and 0 may sometimes be added .
II: Counting numbers are the numbers we call as we count the objects around us, hypothetically extended to infinity .
III: Integers are counting numbers with positive and negative signs plus 0 .
IV: With integers the number axis is filled , no other numbers are needed .


a) I , II ve III
b) all
c) I and II
d) II and III
We also need rational numbers (fractions) to have a dense number axis .
9. A tree to be planted with at least 5 meter intervals is to be planted on a 20 000 m2 land having road on both sides. The minimal distance to road(s) and adjacent lands should respectively be 3 m. and 5 m.
What is the maximum number of trees that can be planted on such a land with no other restriction of the side lengths ?

!
a) 756
b) 765
c) 676
d) 729
Two extreme possible cases are shown in ry1. The lesser distance restriction to the roads could be advatageous in favor of the linear case but ... .
10. A light flashes every 15 seconds. Another flashes every 30 seconds. Suppose they flash together at a certain time. What is the shortest amount of time that will elapse before both lights will again flash together ?

!


a) 20 seconds
b) 1 minute
c) 30 seconds
d) 15 seconds
At each half minute they should flash together .
11. Jane said to Jimmy: "If you give me 2 beads, we will each have the same number of beads."
Jimmy said to Jane in response: "If you gave me 2 beads instead, I would have twice as many beads as you have."
How many beads did Jimmy have before any exchange was made ?

!


a) 12
b) 14
c) 10
d) 8
It works if the total number of beads both have is equal to 24 .
y
12. The blacksheeps tribe has changed its way of coding the numbers of its sheep; it was pretty incovenient to draw a shape 9 times. They nowadays use the following coding.
!

Which of the following choices corresponds to 28096 sheep ?


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

!


a) III
b) II
c) I
d) IV
Have please a look at ry1 .
13. What is obtained if the greatest 4-digit number having 4 at the middle two places (tens' and hunderts') is subtracted from the greatest 5-digit number ?

a) 10551
b) 84750
c) 80551
d) 90550
99999 - 9449 = ?
14. Which of the following numbers consists of 4 hundred millions, 7 millions, 7 hundred thousands, 2 thousands and 8 tens ?

a) 407 7021 80
b) 470 702 080
c) 747 702 080
d) 407 702 080


8 tens should of course be 80 .
15. What is the difference of the greatest and the smallest numbers constructed by using all of the 5 digits 4, 5, 3 , 8 and 0 ?

a) 54972
b) 81972
c) 82972
d) 54872
85430 - 30458 = ?
16. How big is the sum of the value of the digits 4 in the number 3 456 762 489 if the place values are also considered ?

a) 40 milllions 4 hundred
b) 40 billions 4 hundred
c) 400 millions 4 hundred
d) 400 millions hundred and four
The 4 at hundred millions' means 4 hundred millions and ... .
17. What is the 3x3 to be called and how it is to be written if 2x2 is called the square of 2 and is written as 22 ?

a) square of 3 ; 33
b) square of 3 ; 32
c) cube of 3 ; 32
d) cube of 3 ; 33
It is not 33, take care .
y
18. In question 12 of our first test we have introduced you the computer engineer's base 16 coding. Which natural number corresponds to 1A of base 16 in base 10 ?

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

RY1
RY2



a) 26
b) 24
c) 18
d) 19


You may use the programmer menu of windows' calculater to test our table given in ry1 .
19. The three-digit number LM8 is 440 more than the two-digit number LM. What is the value of the two-digit number LM ?

a) 48
b) 24
c) 56
d) 84
10 x (LM) + 8 = 440 + LM => 9 x (LM) = 432 .
20. What is the units digit of 7x7x7x7x7x7x7x7x7x7 ?

a) 7
b) 9
c) 1
d) 3
Think it of as (7x7x7) x (7x7x7) x (7x7x7) x 7 = 343 x 343 x 343 x 7 .
21. A certain examination of 60 questions was graded by giving 4 points for each correct answer and by then deducting 1 point for each incorrect answer. John has attempted all 60 questions, leaving no question unanswered and scored a total of 190 points. How many right answers did he have ?

!


a) 55
b) 45
c) 50
d) 40
Trial and error seems to work. 50 questions answered rigth means 200 points .
y
22. The upper display increases by 4 every 3 seconds and the lower increases by 3 every 4 seconds.
After how many seconds should we expect the upper display to exceed the lower ?


!


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

RY1 RY2



a) 505
b) 552
c) 555
d) 465


Please have a look at ry1 .
23. In the decimal number 5 4A8 648 what should be the value of A in order to attain 180 as the difference of thousands group and units group ?

Note : By thousands group the group of thousands, ten thousands and hundred thousands (4A8) and by units group hundreds, tens and ones (648) are meant.

a) 2
b) 8
c) 4
d) 6
648 - 180 = ?
24. The number 136 453 879 is given. Our first number we obtain by changing the places of thousands and units group and subtracting 243 from the result. Our second number is obtained by subtracting first 243 from the given number and then exchanging the mentioned groups.
What will the difference of these two obtained numbers be ?

a) 136 757 242
b) 757 242
c) 136 242 757
d) 242 757
The difference of (136 879 453 - 243 =) 136 879 210 and 136 636 453 is equal to ... .
25. How many 4-digits numbers has a digit sum of 6 with the additional constraint that only one of the numbers having the same digits are to be considered ?

a) 9
b) 18
c) 8
d) 6
6 0 0 0 ; 5 1 0 0 ; 4 2 0 0 ; 4 1 1 0 ; 3 3 0 0 ; 3 2 1 0 ; 3 1 1 1 ; 2 2 2 0 ; 2 2 1 1
5100 stands also for 5010, 5001, 1500, 1050 etc.
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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