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FIFTH GRADE /SUBTRACTION / 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.

 (METHODS* of) SUBTRACTION of INTEGERS  (are) is

   ♦ 
METHOD(s) of DETERMINING the RESULT of
   ♦ COUNTING BACKWARD from a given INTE-  GER  NAMED as MINUEND

   ♦ by an AMOUNT of  ANOTHER  GIVEN  INTE-  GER  NAMED as SUBTRAHEND.

    Ref.-1
 * There are diff. methods all doing the same .
1. What rule is used to get the y values in the following figure ?

!


a) multiply x by 3 and subtract from 10
b) multiply x by 3 and subtract from 20
c) multiply x by 2 and subtract from 10
d) multiply x by 2 and subtract from 20
It is assumed that the x values are given as 0, 2, 5, 7 and 10 .
2. Carl, Charles, and Sarah asked their fathers to give $ 1300 to buy a smart board for their classroom. Carl got $ 250. Charles got $ 200 less than thrice as much as Carl. How much money did Sarah get ?

!


a) $ 300
b) $ 150
c) $ 500
d) $ 700
1300 - [250 + (3x250 - 200)] = ? .
3. During a vacation, 2 lab scientist tired of lab made a tour via several historic landmarks. They drove a total of about 500 kilometers during a four-day period. On the first day, they drove 150 kilometers. For each of the next 3 days, they drove 15 less kilometers than the day before. How many total kilometers did they drive during the last 2 days ?

!


a) 225
b) 200
c) 175
d) 250
Third day they should have driven 120 km.s
Do not subtract the first two day's distance from 500, 500 is not exact.
150 - 15 - 15 + (150 - 15 - 15 - 15) = ?
4. Which of the following graphs may be the extrapolated distance-travel day graph of the travel of the scientists of the previous question ?

!


a) C
b) A
c) B
d) D
The graph should contain extrapolation, i.e. it should predict future behaviour according to the past .
5. When he left the post office, the postman had 250 letters to deliver. In the first avenue, he delivered fifty letters to the inhabitants. In the second , he delivered a quarter of the remaining letters . In each remaining street/avenue, he delivered 25 letters. How many streets/avenues did he make to deliver the 250 letters ?

!


a) 10
b) 8
c) 12
d) 6
In the first two he had already delivered 100 of the letters .
y
6. Solve the equation 8x(¤ - 2) + 20 = 2x(¤ - 5) + 50 for ¤ and check the right answer .

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



a) 8
b) 9
c) 6
d) 4


First subtract 20 from both sides and get 8x(¤ - 2) = 2x(¤ - 5) + 30. If you can not continue have please a look at ry1.
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. The 4th and 5th-grade students at Ataturk Primary School are going on a trip. Of the 94 students, 80 students will ride on 2 buses. The remainder will ride in cars that can hold up to 4 students. Which equation can be used to find the number "N" of cars necessary to make the trip possible ?

a) N = (92 - 80)/4
b) N = (94 - 80)/4
c) N = (96 - 80)/4
d) N = (90 - 80)/4
N = (94 - 80)/4 gives remainder which is not permitted.
8. Frank has $ 5 to buy lunch. If he buys a sandwich that costs $2.75 and a coke that costs $ 0.75, how much money will he have left ?

a) $ 1.5
b) $ 2
c) $ 2.5
d) $ 2.25
Be careful of the place of the point as you add and subtract decimal numbers .
9. The table below shows the average number of cars sold in Nigeria each year over a period of years from 2004 to 2010. Between which consecutive years is the maximal decrease of sales observed ?

!


a) 2007-2008
b) 2008-2009
c) 2005-2006
d) 2006-2007


In 2008 there were an economical ... .
10. What is the difference of the horizontal positions (E-W) of the rabbit and the cute polar bear ?

!


a) 3
b) 0
c) 8
d) 6
Seen in W-A, they both stay at +3 .
11. Daghan plays a number game on his new computer. He enters a number and the computer changes the number to a new number according to an unkown rule. The table below shows samples of the numbers Daghan has entered and the computer responded.
Is the rule really unkown or does any choice reveal this rule ?

!


a) triple the number and then subtract 17
b) double the number and then subtract 17
c) triple the number and then subtract 14
d) double the number and then subtract 14
This is just similar to the 1st question .
y
12. Selma and belma are twins. Their mother prepared a birth day cake for them. Just the previous evening they asked their mother's permission to have a little bit of the cake and the mother said "Eat a cm. from a side each!".
They probably misunderstood their mother on purpose; Selma began first and ate 1 cm. from each side. Belma did the same afterwards. How many cm.s should Belma has eaten less than Selma ?


!


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

RY1 RY2



a) 4
b) 6
c) 2
d) 8
Selma has eaten (25+25+8+8 - 4) cm. of the cake. 4 must be subtracted otherwise 4 corners will be eaten twice. Please have a look at ry1 .
13. Which of the following statements are true ?

I: Subtraction is counting backward from minuend .
II: Check of the correctnes of subtraction is done via multiplication .
III: The sum of the difference and subtrahend should give minuend .
IV: It is not possible to subtract huge numbers from each other .


a) I and III
b) I and IV
c) II and IV
d) I , II and IV
IV is wrong ...
14. The minuend and difference of a subtraction respectively are 486 and 366 .
What will be the difference if the minuend is increased by 27 ?

a) 147
b) 393
c) 341
d) 339
Difference increases if minuend increases .
15. The sum of minuend and subtrahend is 121 and the difference is 87. Which choice is the minuend ?

a) 27
b) 34
c) 17
d) 104
Remember that the sum of minuend, subtrahend and difference is twice minuend .
16. Which of the following subtraction operations are wrong ?

I :1221-111 = 1111    II : 6094-11 = 6082   III : 2709-44 = 2666    IV : 3050-122 = 2929

a) all
b) I , II and III
c) II , III and IV
d) I and III
check odd number - odd number is even number etc. to gain time ... .
17. The building below has an height of 121 m. , a depth of 21 m. and a width of 35 m. How bih should the unavaialble area be if the available area is 700 m2 ?

!


a) 35 m2
b) 21 m2
c) 35
d) 17
Area = width x depth .
y
18. How many of the prime numbers from 2 to 100 may be written in the form p = kx6 - 1 (multiple of 6 minus 1) ?

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


a) 13
b) 12
c) 11
d) 15
Multiples of 6 are even numbers that can not be prime. There are 5 numbers between any two multiples of 6. The ones in the middle are multiples of 3 and can not be prime. The adjacents of the one in the middle are even numbers and can not be prime. This means if a number is prime, it should be either in the form 2xk-1 or 2xk+1 .
19. What will be the difference of the greatest and the least of 15 consecutive numbers whose sum is 9 987 655 443 015 ?

a) 6
b) 14
c) 9 987 655 443 000
d) 9 987 655 443 030
n consecutive numbers do always have a greatest difference of n-1 .
20. Which number gives 130 when it is multiplied by 4 and then 18 is added ?

a) 23
b) 26
c) 56
d) 112
4xA = 112 and A=? .
21. The minuend of a subtraction is 48 less than 6 times the subtrahend. What should the minuend be if the difference is 72 ?

a) 120
b) 72
c) 24
d) 48
6xSubtrahend - 48 - Subtrahend = Difference .
y
22. What should the difference be in the following subtraction ?

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

!
RY1 RY2



a) 1395
b) 2375
c) 1395
d) 2075


The same shapes correspond to the same numbers, but they can also be any one of the numbers seen .
23. The difference of a 2-digit number and its digits reversed form (also a 2-digit number) has a 6 at ones' place. How many numbers with such a property may exist ?

a) 5
b) 6
c) 7
d) 9
Let the number be in the form AB. Then we have AB - BA = ?6 where A and B are digits .
10xA + B - 10xB - A = 10x(A-B) + (B-A) = 10x(A-B) - (A-B) = 9x(A-B) = ?6 .
So the difference must be a multiple of 9 and it can only be 36 . 40 has reversed form 04 which is not used and therefore disclosed.
51, 62, ... ,95 ...
24. (100 000 - 1000)-(100 000 - 100) = ?

a) 900
b) -900
c) 1000
d) -9000
100000-1000 = 99000 ; 100000-100 = 99900 .
25. If 1009 is subtracted from a number, 1000 is obtained. What will be obtained if 7 is subtracted from this number ?

a) 993
b) 1002
c) 2002
d) 2009
The number is 2009 .
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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