Class 8 Word Problems — practice questions with answers
Linear Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. A number increased by 7 gives 19. Find the number.
A24
B11
C13
D12
Show answer
Answer: D) 12
Let the number be x. x + 7 = 19, so x = 19 - 7 = 12.
2. Sum of three consecutive even numbers is 78. Find the largest of them.
A28
B31
C56
D25
Show answer
Answer: A) 28
Let them be x, x+2, x+4. 3x + 6 = 78, 3x = 72, x = 24. Largest = x + 4 = 28.
3. Aman is 5 years older than his brother Karan. Eight years ago, Aman was twice as old as Karan. Let Karan's present age be x years. Set up the age equation and find Karan's present age (in years).
A12
B13
C26
D14
Show answer
Answer: B) 13
Aman = x + 5. Eight years ago: Aman = x + 5 - 8 = x - 3, Karan = x - 8. x - 3 = 2(x - 8), x - 3 = 2x - 16, 13 = x. Karan is 13 years old.
4. A sum of Rs 500 is divided between Geeta and Hari so that Geeta gets Rs 100 less than twice what Hari gets. How much does Hari get (in Rs)?
A200
B180
C220
D400
Show answer
Answer: A) 200
Hari = h, Geeta = 2h - 100. h + 2h - 100 = 500, 3h = 600, h = 200.
5. Sameer divides a sum of Rs 8400 into two parts. One part is Rs 600 more than the other part. Find the larger part (in Rs).
A3900
B4200
C4500
D4800
Show answer
Answer: C) 4500
Smaller = x, larger = x + 600. x + x + 600 = 8400, 2x = 7800, x = 3900. Larger = 3900 + 600 = 4500.