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FIFTH GRADE /SUBTRACTION / TEST 1.3

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. How many of the following subtractions are incorrect ?

390944-390284 = 728      321770-85659 =236110      555111-295236 = 260875


a) 1
b) 2
c) all
d) none
Do simple checks first .
2. What should A be, if (312-224) - (394-368) + 2xA = 0 ?

a) -122
b) -62
c) -31
d) -27
62 + 2xA = 9 gives a negative A ... .
3. Fibonacci Numbers have the following properties:
♦ The first two of them are 0 and 1.
♦ Any consecutive is calculated as the sum of two numbers prior to it.
♦ They increase rapidly as seen in the figure.

What will the difference of the 11. and the 8. Fibonacci Numbers be ?

!


a) 42
b) 61
c) 34
d) 6
The first 9 are 0, 1, 1, 2, 3, 5, 8, 13, 21, ... .
4. What will the difference be if the sum of first 9 Fibonacci Numbers is subtracted from the sum of first 9 triangular numbers ?

!
a) 111
b) 99
c) 88
d) 55
The first 9 triangular numbers : 1, 3, 6, 10, 15, 21 , 28, 36, 45.
Subtracting them in order: 1-0 + 3-1 + 6-1 + 10-2 +15-3 +21-5 +28-8 +36-13 +45-21 = ?
5. Which of the following statements is false ?

a) The difference of a subtraction operation may be any number.
b) Subtraction is a well defined binary operation.
c) Subtrahend may be treated as a summand with a negative sign.
d) Minuend and subtrahend may be interchanded as the places of the signs are conserved/kept.
The last one can not be true ... .
y
6. From the smallest of the 2-digit numbers having consecutive numbers as its digits a single-digit number is subtracted. How many options allow that when the digit sums of the minuend and the subtrahend are subtracted the digit sum of the difference is obtained ?

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



a) 9
b) 2
c) 5
d) 3


Minuend is 12 . Please have a look at ry1. And do not forget that mod 9 calculations done as seen in "http://www.shodor.org/succeedhi/succeedhi/ modularmath/negative.html" resurrects the equality.
ClickN KIDS Beginning Reading & Spelling Programs Teacher Created Resources ClickN KIDS Beginning Reading & Spelling Programs
7. Along a street there are 10 adjacent trees each having a length 1.5 m. shorter then the next. What is the difference of lengths of the tallest and the shortest ?

a) 12.5
b) 12
c) 15
d) 13.5
Let the length of the shortest be accepted as zero. The second will then be 1.5 m. Third will be 3 m. ... .
8. From the least natural number having 386 in billions group the greatest natural number with 127 in billions group is subtracted. Which choice is the result ?

a) 258000000000
b) 258000000001
c) 258000000009
d) 258000000091
386 000 000 000 - 127 999 999 999 = ?
9. A, B and C are digits and AB1 - AC4 = CB is valid. What should A, B and C respectively be ?

a) 4 , 7 ve 2
b) 5 , 7 ve 3
c) 4 , 7 ve 3
d) 5 , 7 ve 2


Write them under each other, you will soon see that B = 7 .
10. (490-399) - (917-848) = ?

a) 22
b) 12
c) 120
d) 221
Evaluate/calculate the paranthesis first.
11. (2500-500+800) - (880-440+200) = ?

a) 3120
b) 2160
c) 2460
d) 2220
The first paranthesis is equal to 2800 .
y
12. From the to nearest natural number rounded mean of the 2-digit numbers 2-digit numbers are subtracted. Under the condition that the difference d≥0, for how many numbers the equation "the digit sum of the minuend - the digit sum of the subtrahend = the digit sum of the difference" holds ?


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

RY1 RY2



a) 14
b) 30
c) 44
d) 8
Rounded mean is 55 and the subtrahend should be between 10 and 55 .
13. Which of the following statements are true ?

I: If at the same place the minuend has a smaller digit than subtrahend, borrow is due.
II: If the values of minuend and difference are exchanged, the equation is still valid.
III: If subtrahend and difference are added, the minuend is obtained.
IV: Consecutive subtractions may be evaluated by summing all subtrahends and making a single subtrahend out of them.


a) only I
b) all
c) III and IV
d) I , III and IV
II is false ...
14. Which result is obtained if from seven consecutive numbers beginning with the number A, the 1th , 3rd , 5th and 7th are added and the (sum of the) rest are subtracted ?

a) A+3
b) A-3
c) A-7
d) A+7
A-(A+1)+(A+2)-(A+3)+(A+4)-(A+5)+(A+6)=?
15. What will be the difference of the sum of 2-digit numbers divisible by 5 and greater than 50 and the sum of the 2-digit numbers divisible by 5 and less than 45 ?

a) 500
b) 450
c) 355
d) 340
55+60+65+70+75+80+85+90+95- ... = ?
16. Which of the following operations are wrong ?

I : 12216094-1116082 = 11100010      II : 60941111-111111 = 60830000      
III : 27092666-266644 = 6826022


a) all
b) I and II
c) II and III
d) I and III
Check if odd number-odd number = even number, the number of places ... etc.
17. Current level of oil consumption of the World is about 30 billion barrels per year and the resources seem to be around 1250 billion barrels.
What will the remaining reserves (billion barrels) be after 30 years, if the conditions does not change ?

!


a) 250
b) 350
c) 300
d) 400
1250-30x30 = ?
y
18. In a pattern beginning with the natural number A and containing 2xn consecutive numbers every second term is negated. Which choice may be the sum (of the elements) of the new pattern ?

!


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


a) A-n
b) A+n
c) A+2xn
d) A-2xn
This is a pretty generalized form of question 14. We hope you grasp the situation from the images we give.
19. What will be the difference of least 7-digit 8 consecutive multiples of 5 and least 7-digit 7 consecutive multiples of 4 ?

a) 7
b) 1 000 033
c) 1 000 043
d) 1 000 056
1 000 000 + 1 000 005 + 1 000 010 + 1 000 015 + 1 000 020 + 1 000 025 + 1 000 030 + 1 000 035
- 1 000 000 - 1 000 004 - 1 000 008 - 1 000 012 - 1 000 016 - 1 000 020 - 1 000 024 = ?
i.e 1+2+3+4+5+6+1 000 035 .
20. Which natural number gives 1880 if it is multiplied by 10 and 180 is added ?

a) 188
b) 180
c) 170
d) 120
Ax10+180=1880 means 10xA = ?
21. In a subtraction operation the minuend is 6 times the subtrahend minus 23 445 and the difference is 12 795 . What is the minuend ?

a) 20043
b) 200008
c) 125463
d) 57663
6xSubtrahend - 23 445 - Subtrahend = 12 795 means 5xSubtrahend = 23 445 + 12 795 = ?
y
22. In the figure below is an interesting subtraction operation. Over the operation line the digits are play cards except "10" and the base is 13.
Under the operation line is the coding our usual base 10.
Is the base 10 coded result right, if not which choice gives the right coding ?


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

!
RY1 RY2



a) right
b) 9785
c) J888
d) 8789


In base 13 coding, the second place from the right has a place value of 13.
23. Instead of discarding "10" in the previous question we might use X for it and we would have base 14 coding over the operation line. How would that change the result and which choice would then be result ?

a) Q78X
b) J79J
c) J79X
d) X79X
The new place values would then be, with unit coefficients (13+1)3, (13+1)2, (13+1) and 1 .
24. What is the difference of the 15. Fibonacci Number and the 15. square number ?

!


a) 170
b) 145
c) 152
d) 270
377 - 225 = ? . The real aim of this question is to show how the Fibonacci Numbers get bigger .
25. 2500 is 1009 greater than a number. Which number is 700 less ?

a) 1491
b) 791
c) 1381
d) 881
The number is 2500-1009= ... But the answer of the question must be 700 less .
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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