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ClickN KIDS Beginning Reading & Spelling Programs
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FIFTH GRADE /ADDITION / 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.

 THE ADDITION OPERATION IS,

  TO COUNT FORWARD FROM  A SUMMAND

 ♦ 
AS MANY AS ANOTHER SUMMAND
OR BETTER SAID

   ♦  IT IS THE METHOD(S)   
OF FINDING THE RESULT OF THIS  UPCOUNTING.
1. We are supposed to divide, with an additional line, the face of the clock into three parts such that the sum of the numbers in each part are equal. Through which regions should the third line pass ?

!
a) 9-10 and 2-3
b) 10-11 and 1-2
c) 10-11 and 2-3
d) 10-11 and 3-4
The sum of natural numbers from 1 to 12 is 6x13 = 78. 78/3 = 26, Each region must have a sum of 26 .
2. One way to obtain 99 from the digits of the number 987654321 is to put 6 addition signs between the digits as in 9+8+7+6+5+43+21 = 99 . Which choice gives another way to obtain the same total ?

a) 98+7+65+4+3+2+1 = 99
b) 9+8+7+65+4+3+2+1 = 99
c) 9+8+7+6+5+4+32+1 = 99
d) 9+8+7+6+54+3+2+1 = 99
Just eliminate the first 3 and the last 2 digits, do not forget you need a total of 72 then .
3. How many triangles are formed if vertices of a regular hexagon are connected to each other as it is shown below in the figure ?

!
a) 21
b) 18
c) 24
d) 15
Be careful, do not forget that some side by side triangles may together form a bigger triangle etc.
4. Which of the choices should replace the question mark in the figure below ?

!


a) 6
b) 7
c) 9
d) 12
Find the pattern; look for an up-down pattern.
5. If you begin with a one digit integer, multiply by 2, add 32, divide by 3 and subtract 8, you will get the integer back. Which choice gives this integer ?

a) 7
b) 9
c) 6
d) 8
Let A be the integer. (2xA+32)/3 - 8 = A i.e. 2xA+32-24 = 3xA which means 2xA+8 = 3xA ?
y
6. Initially a drunk seeman stays where the blue star is. If he goes 2 units up, 4 unit right, 10 units down, 6 units left, 4 units up and eventually 3 units right, how many steps does he minimally need to get back where he started as quickly as possible ?

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



a) 3
b) 5
c) 9
d) 12
Draw carefully the path .
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. Melissa, Sarah and Mordo want to Cyprus for a vacation. On the way to Cyprus, the plane makes the trip in 315 minutes. On the return trip, due to the seasonal winds the flight takes 16 minutes more.
They want to stay in Cyprus for 60 hours and they are expected to stay in the airport for 89 minutes. You are supposed to estimate how long the trip will take by rounding to the nearest 10. How long should the trip really take ?


!


a) 4340
b) 4440
c) 4444
d) 3444
Give the answer in terms of minutes .
8. One morning Hero the mountain climber began to climb an hill 400 meters high. Each hour he climbs an average distance of 50 meters and then he rests for an hour. During the resting he slides down 10 meters.
How many minutes are expected to elapse till he reaches the top ?

!


a) 1344
b) 600
c) 1200
d) 1128
It is not 10 or 20 hours (600 or 1200 minutes), be careful about the last hour and the rest periods.
In 18 hours he will climb 360 meters. 18 hours make 1080 minutes. For the last 40 meters he needs ... minutes.
9. An ice cream stand has nine different flavours. Class 5-A of Jensen Primary School comes to the stand and each pupil buys a double scoop cone with two flavours of ice cream. If none of the pupils choose the same combination of flavours, and every different combination of flavors is chosen, how many pupils are there in this class ?

a) 24
b) 42
c) 18
d) 36
Let the flavors be vanilla, maple, chocolate, tiger, raspberry, strawberry, coffee, moon mist and cherry vanilla. Begin with vanilla. If it is chosen there are 8 possible combinations.
Continue with maple. Since maple-vanilla combination is already chosen, there are 7 ramaining possible combinations .
So the answer is the sum of intgers from 1 to 8 .
10. In how many different ways can the (distinguishable) cars of a five car train be arranged ?

!


a) 120
b) 60
c) 90
d) 105
Let car "1" be at the first place. For the second place there are 4 candidates. For the third 3 candidates, fourth 2 and 1 only 1.
There are 5 similar situations. We can also say for the first place there are 5 candidates.
11. What should be the result of the addition shown in the figure below ?

!


a) 3540708841
b) 2540708841
c) 2540709941
d) 2541608841
Make first the upper three numbers' addition. The lower two is almost trivial.
y
12. .The following figure is taken from a pps file sent to us as the beauty of the mathematics. The digits are ordered.
Is it a beauty/property of the mathematics or is it something else dependent ?


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

!
RY1 RY2



a) it is a mathemathical property
b) property of base-10
c) none
d) it is just beautiful
It should be something which is a property of base-10 .
13. Which of the following statements are true ?

I: Addition is counting forward from one of the summands as many as the other summand(s).
II: Addition may be checked via the inverse operation, division.
III: Addition is an equation, we may disregard all multiples of 3 or 9 of both sides without changing the balance.
IV: Very big numbers can not be added, rulles of addition fail in this case.


a) all
b) II and IV
c) I , II and IV
d) I and III
Bases and place values permit us to add the very great/big numbers.
14. What happens to the sum if one of the summands is increased by 373 and the other by 185 ?


a) increases by 558
b) increases by 373
c) increases by 448
d) increases by 473
Both summands are increased ... .
15. What happens to the sum if one of the summands is by 1423 increased and the second by 857 decreased ?

a) decreases by 46
b) increases by 2280
c) increases by 566
d) decreases by 466
It increases by the difference of the mentioned/given numbers .
16. Which of the following operations are/is wrong ?

I :1221+111 = 1332    II : 6094+1197 = 7291
  III : 2709+2344 = 4666    IV : 30503+17522 = 48025

a) all
b) I , II and III
c) I and II
d) only III
Check first that sum of odd and even numbers are even and odd is obtained if and only if one is odd and the other even . Then check the addition of ones' places .
17. The building in the figure is a 45 store buiding whose width and length respectively are 35 m. and 21 m. and any store has an unavailable area of 35 m2. What should then the total available area of the whole building be ?

!


a) 31500
b) 30500
c) 35000
d) 33500
Multiplication is needed but it should pose no problem for a 5th grader ... .
y
18. What can be the maximum sum of two even 3-digit natural numbers whose difference is 336 ?

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

RY1 RY2


a) 1662
b) 1660
c) 1663
d) 1664
Consider the greatest 3-digit even number ... .
19. What will be the sum the maximum and the minimum of 15 consecutive numbers whose total is 443 025 ?

a) 55370
b) 57900
c) 59700
d) 59070
Divide by 15 to find the average and think a little bit then ... .
20. What will be the sum of average 3-digit and 5-digit numbers ?

a) 35455
b) 55549
c) 53545
d) 72475
(100+10000+999+99999)/2 = ... .
21. 264 + 360 + 297 + 405 + 330 + 450 + 660 + 900 = ?

a) 3787
b) 3938
c) 3666
d) 3047
Numbers are multiples of 33 and 45 .
y
22. How many couple of digits "star" and "circle" may realize the following addition ?

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) 3
d) 8


Numbers should be greater than 5, take care.
23. Which one is the highest to the nearest number rounded average grade in the following table ?

!


a) 91
b) 89
c) 94
d) 92
Rounded to the nearest natural number and the average of all grades of the same student ... .
24. (100 000 + 1000)+(100 + 10000)+(99+1) = ?

a) 111200
b) 111100
c) 101120
d) 110200
99 + 1 = 100 .
25. 1000 is obtained if 1009 is subtracted from a certain number. What will be obtained if 334 is added ?

a) 343
b) 3433
c) 1343
d) 2343
The number is 2009 and 334 should be added.
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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