CBSE Class 8 Mathematics Linear Equations In One Variable Worksheet Set 02

Question. Which of the following are the consecutive multiples of 3 whose sum is 51 ?
(A) 24, 27
(B) 20, 31
(C) 40, 11
(D) 25, 26
Answer : A

Question. If 2 - (x/3) = 4 , what is the value of'x'?
(A) -6
(B) 6
(C) -4
(D) 4
Answer : A

Question. The digits in the tens place and units place of a two digit number are t and u respectively. If 1 is placed between them, what is the value of the three d igit number so formed ?
(A) 1 OOu + t + 1 0
(B) 1 OOt + 1 0 + u
(C) 1 Ot + u + 1
(D) 1 OOt + 1 Ou + 1
Answer : B

Question. How much pure alcohol should be added to 400 ml of strength 15% to make its strength 32% ?
(A) 50 m/
(B) 75 m/
(C) 100m/
(D) 150m/
Answer : C

Question. Which of the following is the solution of 2x/5 = 10/3 ?
(A) X= 25/3
(B) X= 35/3
(C) X= 45/2
(D) X= 55/2
Answer : A

Question. What is the solution of (x + 4)² - (x - 5)² = 9 ?
(A) x = 1
(B) x = 2
(C) X = 3
(D) X = 4
Answer : A

Question. There are 3 bags of flour. Bag B weighs thrice as much as bag A and bag C weighs 4 kg less than bag B. If bag A weighs 6 kg, how heavy is bag C ?
(A) 52 kg
(B) 18 kg
(C) 22 kg
(D) 14 kg
Answer : D

Question. One number is 3 times another number. If 15 is added to both the numbers, one of the new numbers becomes twice that of the other new number. Find the numbers.
(A) 15 and 60
(B) 30 and 45
(C) 15 and 30
(D) 15 and 45
Answer : D

Question.  The width of Sudha's garden is 2/3 of its length. If its perimeter is 40 m, find its dimensions.
(A) length = 12 m and breadth = 8 m
(B) length = 8 m and breadth = 12 m
(C) length = 12 m and breadth = 6 m
(D) length = 8 m and breadth = 4 m
Answer : A

Question. A boy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum.
He does 24 sums and obtains 37 marks.
What was the number of correct sums ?
(A) 20
(B) 17
(C) 31
(D) 19
Answer : B

Question. If 9- 7x = 5- 3x, what is the value of'x'?
(A) 0
(B) 1/4
(C) 1/2
(D) 1
Answer : D

Question. The sum of two numbers is 35 and their difference is 13. What are the numbers ?
(A) 10,25
(B) 22, 13
(C) 24, 11
(D) 20,15
Answer : C

Question. Arif, Ajay and Madhav secured m + 20, 2m - 17 and m - 5 marks respectively in an English test. What is their average marks?
(A) 4m-8/3
(B) 4m- 2/3
(C) 4m + 8/3
(D) 4m+ 2/3
Answer : B

Question. Three numbers are such that the second is twice the first and the third is thrice the first. If their sum is 1 2 , what is the value of the largest number?
(A) 4
(B) 2
(C) 6
(D) 8
Answer : C

Question. If a number increased by 8% of itself gives 135, what is the number ?
(A) 112
(B) 100
(C) 125
(D) 75
Answer : C

Question. When 75% of a number is added to 75 the result is the number again. What is the number?
(A) 150
(B) 300
(C) 100
(D) 450
Answer : B

Question. Subtracting 5 from thrice x results in 4. 
What is the value of 15 subtracted from nine times 'x ' ?
(A) 15
(B) 3
(C) 27
(D) 12
Answer : D

Question. X is a two-digit number. Y is the number obtained on reversing the digits of X.
Which of the following is true ?
(A) X+ Y is divisible by 10.
(B) X - Y is divisible by 6.
(C) X - Y is divisible by 9.
(D) X + Y is divisible by 8.
Answer : C

1. Solve for x :

i. 4x - 7 - (x+4) = 3x + 4 - (2x - 1)

ii. 17 ( 2 - x) - 5 ( x + 12 ) = 8

1 - 7x

2. The sum of three consecutive even numbers is 30. Find the numbers.

3. The sum of three consecutive odd numbers is 63. Find the numbers.

4. The sum of two twin primes is 60. Find the two prime numbers.

5. The measures of the angles of a triangle are in the ratio 1 : 2 : 3. Find the angles.

6. The numerator of a fraction is 3 less than its denominator. If we add 1 to both

numerator and denominator, it becomes equal to . Find the fraction.

7. Renu’s mother is four times as old as Renu. After 5 years her mother will be three times as old as she will then be. Find their present ages.

8. The sum of four consecutive multiples of 7 is 70. Find these multiples.

9. The sum of two numbers is 50. If the larger number is divided by the smaller number we get . Find the numbers.

10. The perimeter of a triangle is 49 cm. One side is 7cm longer than another side and 5cm shorter than the third side. Find the sides.

Please click the below link to access CBSE Class 8 Linear Equations in One Variable Worksheet (2)