Introduction 6th grade answers for math:
In this article we see 6th grade practice problems. According to 6th grade syllabus we have to see the following problems.
1) Addition and subtraction
2) Fraction and decimal
3) Perimeter and circumference
4) Area and volume
6th grade answers for math:
Addition
6th grade addition are little advanced from 5th grade.
When adding two numbers in that one value may not be known and needs to be determined. The unknown term may be represented by a letter x (example: 432 + x = 422). We have to find the x value using the steps,
Example: x + 343 = 432
Subtract 343 on both side
x + 343 – 343 = 432 – 343
x = 89
Now add 89 + 343 = 432.
Subtraction
6th grade subtraction are little advanced from 5th grade. Subtraction is also same like addition.
Example: x - 343 = 432 find the x value
Add 343 on both side
x - 343 + 343 = 432 + 343
x = 775
Now subtract 775 - 343 = 432.
Fraction
In fraction there are two numbers numerator and denominator
Adding fraction with same denominator is seen in 5th grade. In 6th grade we see addition of fraction with different denominator.
Fraction addition
Example
`3/5` + `(4)/(10)`
take lcm as 10 for both fraction numbers
In `3/5` numerator is 5 so to get 10. we have to multiply by 2 in both numerator and denominator
`(6 + 4)/(10)` = `(10)/(10)` = 1
Decimal:
In 6th grade we see decimal addition and decimal subtraction.
Example:
0.342
(+) 0.421
0.763
0.754
(-) 0.721
0.033
Perimeter and circumference
Perimeter for square and rectangle
Formula for square and rectangle
Perimeter for square = 4s
Perimeter for rectangle = 2(l+w)
Circumference of a circle = 2πr
Example to find the perimeter of the rectangle whose l =4m and w =6m
Perimeter = 2(l + w)
= 2(4+6)
= 2(10)
Answer = 20
Example for circumference of a circle radius = 6cm
Circumference of the circle = 2 π r
= 2 × 3.14 × 6
Answer = 37.68
Area and volume:
In 6th grade we see volume of cube and volume rectangular prism
Formula for volume of cube = a ^3
Formula for volume of rectangular prism = l × w × h
Example for finding volume of the cube side = 8cm
Solution;
volume of cube = a ^3
= 8^3
Answer = 512cm^3
Example for finding volume of the rectangular prism l = 8cm, w =5cm and h = 7cm
Solution;
volume of rectangular prism = l ×w ×h
= 8 × 5 × 7
= 280cm3
6th grade practice problem with answers for math:
Practice problems for 6th grade
1) Add the values and find the unknown value x + 43 = 134
2) Subtract the values and find the unknown values x -87 = 234
3) Add the fraction numbers and `3/2` and `7/4`
4) Subtract the fraction numbers and `7/6` and `(12)/(9)`
5) Add the decimal values 0.369 and 0.765
6) Subtract the decimal values 0.923 and 0.345
7) Find the perimeter of the square side s = 9cm
8) Find the perimeter of the rectangle l =6m and w =12cm
9) Find the circumference of the circle radius = 12cm.
10) Find the volume of the cube side a = 12m
11) Find the volume of the rectangular prism l =4m, w= 6m and h= 7m.
Answers
1) 91
2) 147
3) `(13)/(4)`
4) `5/2`
5) 1.134
6) 0.578
7) 36
8) 36
9) 75.36
10) 1728 cubic meter
11) 168 cubic meter
In this article we see 6th grade practice problems. According to 6th grade syllabus we have to see the following problems.
1) Addition and subtraction
2) Fraction and decimal
3) Perimeter and circumference
4) Area and volume
6th grade answers for math:
Addition
6th grade addition are little advanced from 5th grade.
When adding two numbers in that one value may not be known and needs to be determined. The unknown term may be represented by a letter x (example: 432 + x = 422). We have to find the x value using the steps,
Example: x + 343 = 432
Subtract 343 on both side
x + 343 – 343 = 432 – 343
x = 89
Now add 89 + 343 = 432.
Subtraction
6th grade subtraction are little advanced from 5th grade. Subtraction is also same like addition.
Example: x - 343 = 432 find the x value
Add 343 on both side
x - 343 + 343 = 432 + 343
x = 775
Now subtract 775 - 343 = 432.
Fraction
In fraction there are two numbers numerator and denominator
Adding fraction with same denominator is seen in 5th grade. In 6th grade we see addition of fraction with different denominator.
Fraction addition
Example
`3/5` + `(4)/(10)`
take lcm as 10 for both fraction numbers
In `3/5` numerator is 5 so to get 10. we have to multiply by 2 in both numerator and denominator
`(6 + 4)/(10)` = `(10)/(10)` = 1
Decimal:
In 6th grade we see decimal addition and decimal subtraction.
Example:
0.342
(+) 0.421
0.763
0.754
(-) 0.721
0.033
Perimeter and circumference
Perimeter for square and rectangle
Formula for square and rectangle
Perimeter for square = 4s
Perimeter for rectangle = 2(l+w)
Circumference of a circle = 2πr
Example to find the perimeter of the rectangle whose l =4m and w =6m
Perimeter = 2(l + w)
= 2(4+6)
= 2(10)
Answer = 20
Example for circumference of a circle radius = 6cm
Circumference of the circle = 2 π r
= 2 × 3.14 × 6
Answer = 37.68
Area and volume:
In 6th grade we see volume of cube and volume rectangular prism
Formula for volume of cube = a ^3
Formula for volume of rectangular prism = l × w × h
Example for finding volume of the cube side = 8cm
Solution;
volume of cube = a ^3
= 8^3
Answer = 512cm^3
Example for finding volume of the rectangular prism l = 8cm, w =5cm and h = 7cm
Solution;
volume of rectangular prism = l ×w ×h
= 8 × 5 × 7
= 280cm3
6th grade practice problem with answers for math:
Practice problems for 6th grade
1) Add the values and find the unknown value x + 43 = 134
2) Subtract the values and find the unknown values x -87 = 234
3) Add the fraction numbers and `3/2` and `7/4`
4) Subtract the fraction numbers and `7/6` and `(12)/(9)`
5) Add the decimal values 0.369 and 0.765
6) Subtract the decimal values 0.923 and 0.345
7) Find the perimeter of the square side s = 9cm
8) Find the perimeter of the rectangle l =6m and w =12cm
9) Find the circumference of the circle radius = 12cm.
10) Find the volume of the cube side a = 12m
11) Find the volume of the rectangular prism l =4m, w= 6m and h= 7m.
Answers
1) 91
2) 147
3) `(13)/(4)`
4) `5/2`
5) 1.134
6) 0.578
7) 36
8) 36
9) 75.36
10) 1728 cubic meter
11) 168 cubic meter
