Vidaara.orgClass 8 · Mathematics
CodeVID-M8-01-CT
Rational Numbers — Full Chapter Test
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.
A rational number is of the form $\tfrac{p}{q}$ where:
- A.$q=0$
- B.$q\ne0$
- C.$p=0$
- D.$p\ne0$
2.
$\tfrac12+\tfrac14=$
- A.$\tfrac24$
- B.$\tfrac34$
- C.$\tfrac13$
- D.$\tfrac16$
3.
In standard form the denominator is:
- A.negative
- B.positive
- C.zero
- D.a fraction
4.
The additive identity is:
- A.$1$
- B.$0$
- C.$-1$
- D.$\tfrac12$
5.
$\tfrac23\times\tfrac35=$
- A.$\tfrac25$
- B.$\tfrac56$
- C.$\tfrac69$
- D.$\tfrac13$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Write the additive inverse of $-\tfrac49$.
7.
Add $\tfrac25+\tfrac15$.
8.
Write $\tfrac{12}{18}$ in standard form.
9.
Write the reciprocal of $-\tfrac53$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Verify the commutativity of addition for $\tfrac12$ and $\tfrac13$.
11.
Simplify $\tfrac12+\tfrac23-\tfrac16$.
12.
Arrange in ascending order: $\tfrac12,\ \tfrac23,\ \tfrac34$.
13.
Find the additive inverse and the reciprocal of $-\tfrac{8}{11}$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Verify the distributive property $a\times(b+c)=a\times b+a\times c$ for $a=\tfrac12,\ b=\tfrac23,\ c=\tfrac16$.
15.
Simplify $\left(\tfrac23+\tfrac14\right)\div\left(\tfrac56-\tfrac13\right)$.
Answer Key
Section A — Multiple Choice Questions
- (B) $q\ne0$
- (B) $\tfrac34$
- (B) positive
- (B) $0$
- (A) $\tfrac25$
Section B — Short Answer (2 marks)
- $\tfrac49$.
- $\tfrac35$.
- $\tfrac23$.
- $-\tfrac35$.
Section C — Short Answer (3 marks)
- Both give $\tfrac56$.
- $1$.
- $\tfrac12,\ \tfrac23,\ \tfrac34$.
- Additive inverse $\tfrac{8}{11}$; reciprocal $-\tfrac{11}{8}$.
Section D — Long Answer (5 marks)
- Both sides $=\tfrac{5}{12}$.
- $\tfrac{11}{6}$.
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