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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-01-WRT-01
Writing Ratios - Assignment
Chapter: Ratios & Proportions
Topic: Writing Ratios - Three Forms
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.
A ratio compares:
  • A.one quantity
  • B.two quantities
  • C.three angles
  • D.a sum
2.
The ratio "$3$ to $4$" can be written as:
  • A.$3+4$
  • B.$3:4$
  • C.$3-4$
  • D.$34$
3.
In a ratio, the order of the numbers:
  • A.does not matter
  • B.matters
  • C.is always $1$
  • D.is reversed
4.
The ratio $6:9$ in simplest form is:
  • A.$2:3$
  • B.$3:2$
  • C.$6:9$
  • D.$1:2$
5.
A ratio has:
  • A.metres
  • B.no units
  • C.kilograms
  • D.degrees
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write "$5$ to $8$" as a ratio with a colon.
7.
Write $4:7$ as a fraction.
8.
Simplify the ratio $6:9$.
9.
Write the ratio of $10$ to $15$ in simplest form.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Write the ratio $12:18$ in simplest form.
11.
In a class of $12$ boys and $16$ girls, write the ratio of boys to girls.
12.
Write $8$ to $12$ in all three forms.
13.
Simplify $20:35$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A bag has $9$ red and $15$ blue marbles. Write the ratio of red to blue in simplest form, and the ratio of red to total.
15.
Write the ratio $24:36$ in all three forms and in simplest form.

Answer Key

Section A — Multiple Choice Questions
  1. (B) two quantities
  2. (B) $3:4$
  3. (B) matters
  4. (A) $2:3$
  5. (B) no units
Section B — Short Answer (2 marks)
  1. $5:8$.
  2. $\tfrac47$.
  3. $2:3$.
  4. $2:3$.
Section C — Short Answer (3 marks)
  1. $2:3$.
  2. $3:4$.
  3. $8$ to $12$, $8:12$, $\tfrac{8}{12}$ (simplest $2:3$).
  4. $4:7$.
Section D — Long Answer (5 marks)
  1. Red:blue $=3:5$; red:total $=3:8$.
  2. $24$ to $36$, $24:36$, $\tfrac{24}{36}$; simplest $2:3$.
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