Vidaara.orgClass 7 · Mathematics
CodeVID-M07-02-PRO-01
Solving Proportions - 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 proportion states that two ___ are equal.
- A.numbers
- B.ratios
- C.angles
- D.sums
2.
In $\tfrac{a}{b}=\tfrac{c}{d}$, cross-multiplication gives:
- A.$ab=cd$
- B.$ad=bc$
- C.$ac=bd$
- D.$a+d=b+c$
3.
If $\tfrac34=\tfrac{x}{8}$, then $x=$
- A.$4$
- B.$6$
- C.$8$
- D.$12$
4.
Solve $\tfrac{x}{3}=\tfrac46$:
- A.$1$
- B.$2$
- C.$3$
- D.$4$
5.
Are $\tfrac23$ and $\tfrac69$ in proportion?
- A.Yes
- B.No
- C.Sometimes
- D.Cannot say
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $\tfrac{x}{3}=\tfrac46$.
7.
Solve $\tfrac25=\tfrac{x}{10}$.
8.
Solve $\tfrac{6}{x}=\tfrac34$.
9.
Are $\tfrac23$ and $\tfrac69$ in proportion?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $\tfrac58=\tfrac{x}{24}$.
11.
Solve $\tfrac{x}{7}=\tfrac{9}{21}$.
12.
If $4$ pens cost Rs $60$, find the cost of $7$ pens using a proportion.
13.
Solve $\tfrac{12}{x}=\tfrac86$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A map uses a scale where $2$ cm represents $50$ km. How many km do $7$ cm represent?
15.
A recipe for $4$ people needs $600$ g of flour. How much flour is needed for $10$ people?
Answer Key
Section A — Multiple Choice Questions
- (B) ratios
- (B) $ad=bc$
- (B) $6$
- (B) $2$
- (A) Yes
Section B — Short Answer (2 marks)
- $x=2$.
- $x=4$.
- $x=8$.
- Yes.
Section C — Short Answer (3 marks)
- $x=15$.
- $x=3$.
- Rs $105$.
- $x=9$.
Section D — Long Answer (5 marks)
- $175$ km.
- $1500$ g.
Generated by Vidaara.org · Assignment VID-M07-02-PRO-01 · vidaara.org