Vidaara.orgClass 8 · Mathematics
CodeVID-M08-20-RAT-01
Ratios & Equivalent Ratios - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- 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 ratio compares two quantities of the:
- A.same kind
- B.different kind
- C.opposite sign
- D.same value
2.
$4:6$ in simplest form is:
- A.$2:3$
- B.$3:2$
- C.$4:6$
- D.$1:2$
3.
Equivalent ratios have the same:
- A.numerator
- B.value
- C.units
- D.difference
4.
A ratio has:
- A.metres
- B.no units
- C.kilograms
- D.degrees
5.
$10:5$ simplifies to:
- A.$2:1$
- B.$1:2$
- C.$5:10$
- D.$10:5$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Simplify the ratio $8:12$.
7.
Write an equivalent ratio of $1:2$.
8.
Simplify $15:25$.
9.
Divide $20$ in the ratio $1:3$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Simplify the ratio $24:36$.
11.
Divide Rs $100$ in the ratio $2:3$.
12.
The ratio of boys to girls is $3:2$ and there are $15$ boys. Find the number of girls.
13.
Are $2:3$ and $6:9$ equivalent?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Divide Rs $360$ among A, B, C in the ratio $2:3:4$.
15.
The ratio of two numbers is $5:7$ and their sum is $48$. Find the numbers.
Answer Key
Section A — Multiple Choice Questions
- (A) same kind
- (A) $2:3$
- (B) value
- (B) no units
- (A) $2:1$
Section B — Short Answer (2 marks)
- $2:3$.
- e.g. $2:4$.
- $3:5$.
- $5$ and $15$.
Section C — Short Answer (3 marks)
- $2:3$.
- Rs $40$ and Rs $60$.
- $10$.
- Yes.
Section D — Long Answer (5 marks)
- Rs $80$, Rs $120$, Rs $160$.
- $20$ and $28$.
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