6th Grade > Mathematics
ALGEBRA MCQs
Total Questions : 96
| Page 3 of 10 pages
Answer: Option B. -> Algebra
:
B
Algebra is the branch of mathematics in which we study the use of letters to representnumbers/quantities.
For example, ram bought mangoes, but we don't know the number of mangoes he bought. So, let's say he bought x numberof mangoes.
Here x is an alphabet but represents the number of mangoes.
:
B
Algebra is the branch of mathematics in which we study the use of letters to representnumbers/quantities.
For example, ram bought mangoes, but we don't know the number of mangoes he bought. So, let's say he bought x numberof mangoes.
Here x is an alphabet but represents the number of mangoes.
Answer: Option A. -> 2n+1
:
A
Even numbers are divisible by 2.
So, all even numbers can be represented by 2 × n; where n represents whole numbers 0, 1, 2....
All, even number are succeeded by an odd number.
∴ 2n+1 gives the pattern formed by odd numbers.
For n=0, 2n+1 = 2 × 0 + 1 = 1
For n=1, 2n+1 = 2× 1 + 1 = 3
For n=2, 2n+1 = 2× 2 + 5 = 5.
So, it is clear that A is the correct option.
:
A
Even numbers are divisible by 2.
So, all even numbers can be represented by 2 × n; where n represents whole numbers 0, 1, 2....
All, even number are succeeded by an odd number.
∴ 2n+1 gives the pattern formed by odd numbers.
For n=0, 2n+1 = 2 × 0 + 1 = 1
For n=1, 2n+1 = 2× 1 + 1 = 3
For n=2, 2n+1 = 2× 2 + 5 = 5.
So, it is clear that A is the correct option.
Answer: Option B. -> 4xy,3yx
:
B
Like terms are terms that contain the same variables with the same power.
Here, 3yx and 4xy are like terms,
3yx and 8x2 are unlike terms,
4xy and 8x2 are unlike terms.
:
B
Like terms are terms that contain the same variables with the same power.
Here, 3yx and 4xy are like terms,
3yx and 8x2 are unlike terms,
4xy and 8x2 are unlike terms.
Answer: Option C. -> 12
:
C
x−3=9Add 3 on both sides,⇒x−3+3=9+3⇒x+0=12⇒x=12
:
C
x−3=9Add 3 on both sides,⇒x−3+3=9+3⇒x+0=12⇒x=12
Answer: Option C. -> 10x+6y
:
C
Adding the coefficients of x and y, we get
3x+4y+
7x+2y
_______
10x+6y
3x+4y+2y+7x=10x+6y
:
C
Adding the coefficients of x and y, we get
3x+4y+
7x+2y
_______
10x+6y
3x+4y+2y+7x=10x+6y
Answer: Option A. -> True
:
A
All integers are constants since they have a fixed value which will not change with time.
Example: 5,6, -7,....
:
A
All integers are constants since they have a fixed value which will not change with time.
Example: 5,6, -7,....
Question 27. (i) Given that a printer prints 5 pages less in the second minute to what it prints in the first minute. Given that it prints 77 pages in two minutes, how many pages does it print in the first minute?
(ii) The length of a rectangle is 4 metres less than three times the breadth of the rectangle. Express the breadth in terms of length. [4 MARKS]
(ii) The length of a rectangle is 4 metres less than three times the breadth of the rectangle. Express the breadth in terms of length. [4 MARKS]
:
Each option: 2 Marks
(i)Let the number of pages printed in first minute =x
Number of pages printed in the second minute =x−5
Total number of pages printed in the first two minutes =x+x−5
⇒2x−5=77
⇒2x=77+5
⇒2x=82
⇒x=41
(ii)Let Land Bbe length and breadth of the rectangle respectively
Given L = 3B - 4
Adding 4 to both sides
L+4 =3B -4 + 4
L + 4 = 3B
Dividing both sides by 3, we get,
B=L+43
:
Each Option: 1 Mark
(i) 4x+5=25
⇒4x=25−5
⇒4x=20
Divide by 4 on both sides,
4x÷4=20÷4
x=5
(ii)x−213=512
⇒x−73=112(Taking LCM of 1 and 3 )
⇒3x−73=112
⇒3x=112×3+7
⇒3x=33+142=472
⇒x=476=756=7.833
(iii)(7x+8)÷7=8
⇒7x+87=8
⇒7x=8×7−8=56−8=48
⇒x=487=667=6.86
:
Each option: 1 Mark
(a) Let the number be x
Twice of number =2x
According to question, 2x−13=3
(b) Let the number be x
One-fifth of number =x5
According to question,x5=x−5
(c) Let the number be x
Two-third of number =2x3
According to question, 2x3=12
(d) Let the number be x
Twice a number =2x
According to question, 2x+9=13
:
Each option: 1 Mark
(i) x2x2=12x=12(2)=14
(ii) xzyz=xy=25
(iii) zx=42=16
(iv) yx=52=25
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