CBSE Class 8 Mental Maths Linear Equations in One Variables Worksheet
CBSE Class 8 Mental Maths Linear Equations in One Variables Worksheet with Solution by Expert Mathematician. Students of 8th Grade can solve this worksheet for extra preparation before exam.Private Teacher or Guardians of the Students can copy all the questions of this chapter and will match after solve their students.
Linear Equations in One Variables Class 8 Worksheet
1.) Find the value of p if, p:6p + 1/3 = 3(p-6)
2.) Find the value of x, if (x-3)/(10+x) = 2/3.
3.) Find the value of x, if 0.4(5x+20) = 0.8(10x-5)
4.) The sum of four consecutive natural numbers are 38. Find the largest number.
5.) The ratio of ram and rahims age is 4:5. If Ram’s age is 40,then what is Rahim’s age?
6.) The ratio of number of pen and pencil is 3:4 in a box. The difference between their numbers is 10. How many pens are there?
7.) There are three consecutive three numbers whose sum is 57. Find the largest number
8.) The ratio of the sides of a triangle is 3:4:2. If the perimeter of the triangle is 81cm. Then find the longest side.
9.) The sum of Two numbers are 67. One exceeds another by 1. Whatbis the larger number?
10.) The sum of three consecutive natural number is 84. Find the middle number.
11.) 4 years ago the sum of son and mother’s age was 44. 8 years hence their sum of age will be?
12.) If a/b = ¾ then find the value of 3a+12b
13.) Find the value of p: 3p-77=2p+23
14.) A man sells his car at 20% loss. If his cost price was 2000. What was the selling price?
15.) The ratio of breadth and length of a rectangle is 3:4. If the perimeter is 84 cm. Then find the length.
16.) Find the value of. 20% of 20% of 2000.
17.) Find the value of x: 4/x (x+8) = 48
18.) Find the value of b: 5/b + 4/b = 4/5
19.) The ratio of the ages of A and B are 5:7. The difference between their age is 20 years. What is A’s age?
20.) The length of a rectangle is twice as the breadth. The perimeter is 36 cm. Find the area.
21.) The ratio of the 3 angles of a triangle is 3:2:1. Find the smallest angle.
22.) If a/b= c/d then find the value of 2a+3b.
23.) If a/b = 4/5, then find the value of 5a+8b/8a+6b
24.) The difference between two numbers is 12. Their sum is 102. If 57 is the larger number. Find the smaller one.
25.) Find the value of p: (7p+6)/(5p+4)= 5/8
Answers.
1.) P:6p+ 1/3=3(p-6)
P/6p+ 1/3=3p – 18
(1+2)/6 = 3p-18
½+18=3p
3p= 37/2
P= 37/6
2.) (X-3)/(10+x)= 2/3
3x-9=20+2x
X= 29
3.) 0.4(5x+20)= 0.8(10x-5)
2x+8=8x-4
-6x=-12
X= 2
4.) X+(x+1)+(x+2)+(x+3)=38
4x+6=38
X=8
5.) Ram:Rahim=4:5
Ram= 4x
Rahim=5x
Then, 4x=40
X=10
Therefore, Rahim’s age= 5×10=50 years
6.) Pen: pencil= 3:4
Pen=3x
Pencil=4x
Then,4x-3x=10
X=10
Therefore, pen=3×10=30
7.) Let one number is x
Other two are x+2 and x+4
So,
X+(x+2)+(x+4)=57
3x+6=57
X=17
So largest number is 17+4=21
8.) Ratio 3:4:2
So, 3x+4x+2x= 81
9x=81
X=9
Therefore 4x= 4×9=36
9.) Let one number is x
Another number is y
So x+y=67 ———(1)
x-y=1 ———–(2)
(1)+(2) we get
2x =68
X=34
10.) X+(x+1)+(x+2)=84
X=27
So, middle number is 27+1=28
11.) Now their sum of age is 44+8=52
8 years hence will be 52+8+8=68years
12.) 9+48=57
13.) 3p-77=2p+23
P=100
14.) Cost price =2000rs
20% of 2000= 400
Therefore selling price 2000-400= 1600 rs
15.) Length=3x
Breadth=4x
Perimeter 2(3x+4x)=84
X=6
Therefore length is 3×6=18 m
16.) 20% of 2000= 2000×20/100=40
20% of 400= 400×20/100=80
17.) 4/x(x+8)=48
48x=4x+32
40x=32
X= 4/5
18.) 5/b+4/b=4/5
9/b=4/5
4b=45
B= 45/4
19.) A:B=5:7
A=5x
B=7x
So, 7x-5x=20
X=10
Therefore,A’s= 5×10= 50
20.) Let Breadth=x m
So,Length= 2x m
So, 2(3x)=6xm
So, 6x=36
X=6
Therefore, length=12m
So area (6×12)m=72cm sq
21.) 3x+2x+x=6x
So, 6x=180°
So the smallest angle is 30°
22.) 2c+3d
- 5×4 + 8×5 / 8×4 + 6×5
60/62
30/31
24.) 57-12=45
25.) (7p+6)/(5p+4)= 5/8
56p+48=25p+20
31p= -28
P= -28/31