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Vidaara.orgClass 6 · Mathematics
CodeVID-M6-00-CT
Solving One-Step Equations — Full Chapter Test
Chapter: Solving One-Step Equations
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
To solve $x+5=12$, you:
  • A.add $5$
  • B.subtract $5$
  • C.multiply by $5$
  • D.divide by $5$
2.
To solve $3x=12$, you:
  • A.add $3$
  • B.divide by $3$
  • C.subtract $3$
  • D.multiply by $3$
3.
To check a solution, ___ it back into the equation.
  • A.remove
  • B.substitute
  • C.double
  • D.ignore
4.
To solve $x-3=8$, you:
  • A.subtract $3$
  • B.add $3$
  • C.multiply by $3$
  • D.divide by $3$
5.
To solve $\tfrac{x}{4}=5$, you:
  • A.divide by $4$
  • B.multiply by $4$
  • C.add $4$
  • D.subtract $4$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Solve $x+6=10$.
7.
Solve $2x=14$.
8.
Does $x=5$ satisfy $x+3=8$?
9.
Solve $x-2=7$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Solve $x+12=20$.
11.
Solve $6x=42$.
12.
Check whether $x=7$ satisfies $2x-3=11$.
13.
Solve $x-7=15$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Solve $x+15=40$ and verify.
15.
Solve $4x=60$ and verify.

Answer Key

Section A — Multiple Choice Questions
  1. (B) subtract $5$
  2. (B) divide by $3$
  3. (B) substitute
  4. (B) add $3$
  5. (B) multiply by $4$
Section B — Short Answer (2 marks)
  1. $x=4$.
  2. $x=7$.
  3. Yes.
  4. $x=9$.
Section C — Short Answer (3 marks)
  1. $x=8$.
  2. $x=7$.
  3. Yes ($14-3=11$).
  4. $x=22$.
Section D — Long Answer (5 marks)
  1. $x=25$ (check $40=40$).
  2. $x=15$ (check $60=60$).
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