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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-03-CT
Integers & Absolute Value — Full Chapter Test
Chapter: Integers & Absolute Value
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.
$(-3)+(-5)=$
  • A.$-8$
  • B.$8$
  • C.$2$
  • D.$-2$
2.
Integers are NOT closed under:
  • A.addition
  • B.subtraction
  • C.multiplication
  • D.division
3.
$|-5|=$
  • A.$-5$
  • B.$5$
  • C.$0$
  • D.$10$
4.
$(+7)+(-2)=$
  • A.$5$
  • B.$-5$
  • C.$9$
  • D.$-9$
5.
$3\times4=4\times3$ shows the ___ property.
  • A.associative
  • B.commutative
  • C.distributive
  • D.closure
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Evaluate $(-8)+3$.
7.
Is $5-3=3-5$?
8.
Find $|-12|$.
9.
Evaluate $(-6)-(-10)$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Evaluate $(-5)+8-3$.
11.
Verify the associativity of addition for $-2,\ 3,\ -5$.
12.
Evaluate $|-8|\times|2|$.
13.
Evaluate $(-3)\times(-4)\times(-2)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Evaluate $(-4)\times[\,6+(-9)\,]$ using the distributive property.
15.
Verify the distributive property $(-3)\times(4+(-6))=(-3)\times4+(-3)\times(-6)$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $-8$
  2. (D) division
  3. (B) $5$
  4. (A) $5$
  5. (B) commutative
Section B — Short Answer (2 marks)
  1. $-5$.
  2. No.
  3. $12$.
  4. $4$.
Section C — Short Answer (3 marks)
  1. $0$.
  2. Both groupings give $-4$.
  3. $16$.
  4. $-24$.
Section D — Long Answer (5 marks)
  1. $12$.
  2. Both sides $=6$.
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