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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-01-EQV-01
Equivalent Ratio Problems - Assignment
Chapter: Ratios & Proportions
Topic: Solving Equivalent Ratio Problems
Maximum Marks: 35
Time: 75 minutes
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.
Equivalent ratios have the same:
  • A.numbers
  • B.value
  • C.units
  • D.difference
2.
$1:2$ is equivalent to:
  • A.$2:1$
  • B.$2:4$
  • C.$1:4$
  • D.$3:2$
3.
To find an equivalent ratio, multiply/divide both parts by the:
  • A.same number
  • B.different numbers
  • C.first part
  • D.sum
4.
$3:5$ is equivalent to:
  • A.$5:3$
  • B.$6:10$
  • C.$3:10$
  • D.$8:5$
5.
Complete: $3:4=9:?$
  • A.$10$
  • B.$12$
  • C.$13$
  • D.$16$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write a ratio equivalent to $2:3$.
7.
Is $4:6$ equivalent to $2:3$?
8.
Complete: $3:4=9:?$
9.
Complete: $5:2=?:8$
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Complete: $2:5=8:?$
11.
If $3$ pens cost Rs $45$, find the cost of $5$ pens.
12.
Complete: $6:9=?:3$
13.
A recipe uses $2$ cups flour to $3$ cups water. How much water for $8$ cups flour?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
In a recipe, the ratio of sugar to flour is $2:5$. If $10$ cups of sugar are used, how much flour is needed?
15.
A car travels $150$ km on $10$ litres of fuel. At the same rate, how far will it travel on $16$ litres?

Answer Key

Section A — Multiple Choice Questions
  1. (B) value
  2. (B) $2:4$
  3. (A) same number
  4. (B) $6:10$
  5. (B) $12$
Section B — Short Answer (2 marks)
  1. $4:6$.
  2. Yes.
  3. $12$.
  4. $20$.
Section C — Short Answer (3 marks)
  1. $20$.
  2. Rs $75$.
  3. $2$.
  4. $12$ cups.
Section D — Long Answer (5 marks)
  1. $25$ cups.
  2. $240$ km.
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