Vidaara.orgClass 7 · Mathematics
CodeVID-M7-02-CT
Ratios & Proportions (Advanced) — 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 proportion states that two ___ are equal.
- A.numbers
- B.ratios
- C.angles
- D.sums
2.
$10\%$ of $200$ is:
- A.$10$
- B.$20$
- C.$200$
- D.$2$
3.
In $\tfrac{a}{b}=\tfrac{c}{d}$, cross-multiplication gives:
- A.$ab=cd$
- B.$ad=bc$
- C.$ac=bd$
- D.$a+d=b+c$
4.
A discount ___ the price.
- A.increases
- B.reduces
- C.doubles
- D.keeps
5.
If $\tfrac34=\tfrac{x}{8}$, then $x=$
- A.$4$
- B.$6$
- C.$8$
- D.$12$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Solve $\tfrac{x}{3}=\tfrac46$.
7.
Find $20\%$ of $150$.
8.
Solve $\tfrac25=\tfrac{x}{10}$.
9.
Find a $10\%$ discount on Rs $500$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Solve $\tfrac58=\tfrac{x}{24}$.
11.
A Rs $1200$ jacket has a $25\%$ discount. Find the sale price.
12.
Solve $\tfrac{x}{7}=\tfrac{9}{21}$.
13.
An item costs Rs $500$ plus $8\%$ tax. Find the total.
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 laptop priced at Rs $30000$ has a $10\%$ discount, then $18\%$ GST is added on the discounted price. Find the final price.
Answer Key
Section A — Multiple Choice Questions
- (B) ratios
- (B) $20$
- (B) $ad=bc$
- (B) reduces
- (B) $6$
Section B — Short Answer (2 marks)
- $x=2$.
- $30$.
- $x=4$.
- Rs $50$.
Section C — Short Answer (3 marks)
- $x=15$.
- Rs $900$.
- $x=3$.
- Rs $540$.
Section D — Long Answer (5 marks)
- $175$ km.
- Rs $31860$.
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