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FIFTH GRADE /NATURAL NUMBERS / 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.

  
 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. A clock gaining 12 minutes each normal hour shows the correct time at midnight. What is the correct time when this clock first registers 1 AM ?

!
a) 1:00 AM
b) 1:10 AM
c) 1:20 AM
d) 0:50 AM
It did not have enough time to gain 12 minutes .
2. What is the maximum number of natural numbers in any one of the answers of the previous question if 0 is not defined to be a natural number ?

a) 3
b) 4
c) 1
d) 2
1:00 is not a natural number as a whole. The minutes and the hours are generally natural numbers though .
3. The solar zenith angle in the following figure is 61° 28' 34'' . Which of the following answers gives this quantitiy as a sole natural number without the (necessary) unit?

!
a) 221 714
b) 211 312
c) 221 314
d) 210 704
The unit must be seconds .
4. AB is a 2-digit number twice of which is expected to reverse the order of the digits. Which relation should be valid between A an B to this end?

!


a) 19xA = 8xB
b) A=2xB
c) A=B
d) A=(8/7)xB
The expansion of this number is 10xA + B and twice the number is 20xA + 2xB. The last expression is supposed to be equal to 10xB + A .
5. How many digits A can be found that satisfies the condtion of the previous question ?

a) 1
b) 4
c) 2
d) none
Are there any digits that satisfy B/A = 19/8 ?
y
6. John was not able to show a very big number on numbers axis keeping proportionality with. He preferred to code the number on a plane instead.
Which one is the number John has coded ?

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



a) 15478876462
b) 38478315462
c) 28340641890
d) 26451387451
First have a look at the first and the last digits; two choices drop .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. The first 25 multiples of 3 are 3,6,9,12,15,18,21,24,...,69,72 and 75. What is the sum of these multiples of 3 ?

!
a) 1005
b) 925
c) 1025
d) 975
25x13x3 since 1+2+3+...+n = nx(n+1)/2 .
8. Which of the followings is false ?

a) Bases, place values and groups (of 3) effects our way of implementing 4 basic operations.
b) Number may be coded using even 1 000 000 characters (digits) but the production table then happens to be inconvenient to memorize.
c) The advantage of using 1 000 000 characters in coding natural numbers would be that we would rarely need summation.
d) Natural numbers are defined always as the counting numbers 1, 2, 3, ...
In number theory 0 is not generally defined as natural but in set theory it usually is .
9. Just at the gate of the Heaven asks a man to the angel and conversation continues:
- What does 1 cent has for a value in Heaven ?
- 1 million dollars.
- May I have a cent ?
- Sure, just a minute.
The man waiting too long asks again and ...:
- I wait for a cent.
- Have to wait a minute.
- But waited already for more than 10 minutes.
- Oh no, here is a minute 1 million years with your reckoning.

How many World minutes is the man supposed to wait ?

a) 365000000x1440
b) 365250000x1440
c) (750000x365+250x365)x1440
d) 365250000x720
Do not forget the leap years please.
10. A driver wants to make a 600-km. trip from Istanbul in Turkey to Samsun on his four-wheel car. He has a spare wheel which is used to replace each of the other four wheels. Suppose each of the five wheels is to have the same mileage for the trip. How many kilometers should each wheel travel ?

!


a) 480
b) 460
c) 240
d) 120
The total distance of 4 wheels from start to destination is 4x600 km. i.e. 2400 km.
Do remember 2400/5 = 4800/10
11. What can the maximum value of A be if 123 + A < 295 ?

a) 172
b) 189
c) 171
d) 173
A should be equal to 172 if 123 + A = 295 . What happens if A is 1 less then 172 ?
y
12. The number of numbers is not finite, numbers may be very huge and we can hardly give a new name for each one of them. We prefer coding numbers i.e. after a definite number we call base we use spaces and space values.
The coding in question 6 has base 10. This is a convenient coding but as the convention changes depending on the situation we use different bases. The computer engineers use another coding. The next number after 9 is A. Then come B, C, D, E and F respectively and F stands for our 15. The next number is a two-digit number 10 and this means 16 in coding with this base (base 16).
What should the value of 6 in the second place of a base 16 coded number in base 10 coding ?


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

!
RY1 RY2



a) 6x15
b) 5x16
c) 6x16
d) 5x15
One must have counted up to 16 six times before a 6 is placed in the second place .
13. What is the difference between the least 3-digit odd number and the greatest 2-digit odd number under the condition that all digits in both of the numbers are different ?

a) 6
b) 4
c) 8
d) 5
103 - 97 is being asked .
14. 3 natural numbers have an average of 99 and the least of them is given as 97. What should the average of the other 2 numbers be ?

a) 90
b) 180
c) 100
d) 200
99x3 = 297 and 297-97 = 200 .
15. The units of timing is from old Babylon and have base 60. 1 minute is 60 seconds and 1 second is 60 split-seconds.

!


How many split-second has Mrs. Brown waited if she has waited for 5 minutes and 27 seconds ?

a) 18620
b) 19620
c) 18600
d) 18610
How many split-seconds is there in 327 seconds ?
16. We have 9 digits and our multiplication table is essentially a 9x9 table. What should the dimensions of computer engineers base 16 coding multiplication table essen- tially be (refer to question 12) ?

!


a) 15x16
b) 15x15
c) 16x16
d) 10x10
Trivial results are not included in the table, and the form is square .
Base 10 has a 9x9 table means base 16 should have (16-1)x(16-1).
17. What would be the dimensions of the multipliction table if 10 digits including 0 and 26 letters were used for coding ?

a) 33x33
b) 37x37
c) 36x36
d) 35x35
The coding should be base 36 coding .
y
18. The blacksheeps tribe codes the number of its sheep according to the system shown below in the figure. What will be their code if they have an additional 10351 sheeps ?

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

RY1 RY2

!


a) IV
b) I
c) II
d) III
Find the corresponding numbers-figures from the table and add the repeating figures .
19. What will be the average of 11 consecutive numbers having a sum of 44 022 ?

a) 4000
b) 4020
c) 4011
d) 4002
Just divide the sum by 11 .
20. What should be the the sum of the average of 3 and average of 4 digit numbers ?

a) 6049
b) 6055
c) 6051
d) 6022
(100+1000+999+9999)/2 = ... .
21. How many natural numbers are there from 5351 to 9137 including these two ?

a) 3787
b) 3938
c) 3666
d) 3047
Find the difference and add 1 .
y
22. From the natural number 198 704 627 359 new natural numbers are obtained by changing the places of groups without changing the place of the billions group. Which of the following numbers can not be the difference of ones' place of the numbers obtained via this method ?

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

RY1 RY2



a) 5
b) 2
c) 8
d) 3


Please have a look at ry1 .
23. What is the minimal value of L that satisfies the inequality 125639/25 < L ?

a) 5025
b) 4095
c) 5026
d) 4025
125625/25 = 5025.
24. How many natural numbers may be attained by using the digits of 10749 ?

a) 96
b) 48
c) 66
d) 44
We have 4 (0 is no choice for this place) choices for the thousands' place, 4 for the hunderts', 3 for the tens' and 2 for the ones'.
25. Both sides of a street have planted trees. There are a total of 60 trees with a distance of 7 m. between two consecutive tree .
How many m. should the length of the street be ?

a) 540
b) 420
c) 210
d) 203
Think of a three at both beginnings and the ends of the street .
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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