Vidaara.orgClass 8 · Mathematics
CodeVID-M8-20-CT
Ratio, Proportion and Percentages — 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 ratio compares two quantities of the:
- A.same kind
- B.different kind
- C.opposite sign
- D.same value
2.
In direct proportion, as one increases, the other:
- A.decreases
- B.increases
- C.stays same
- D.becomes zero
3.
A scale relates a drawing length to the:
- A.colour
- B.actual length
- C.area
- D.angle
4.
$4:6$ in simplest form is:
- A.$2:3$
- B.$3:2$
- C.$4:6$
- D.$1:2$
5.
The unitary method first finds the value of:
- A.all units
- B.one unit
- C.the total
- D.the ratio
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Simplify the ratio $8:12$.
7.
If $1$ pen costs Rs $8$, find the cost of $5$ pens.
8.
A scale is $1:50$. What does $1$ cm represent?
9.
Write an equivalent ratio of $1:2$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Simplify the ratio $24:36$.
11.
If $5$ pencils cost Rs $25$, find the cost of $8$ pencils.
12.
A map scale is $1:1000$. A road is $5$ cm on the map. Find the actual length.
13.
Divide Rs $100$ in the ratio $2:3$.
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.
If $12$ identical pens cost Rs $96$, find the cost of $7$ such pens using the unitary method.
Answer Key
Section A — Multiple Choice Questions
- (A) same kind
- (B) increases
- (B) actual length
- (A) $2:3$
- (B) one unit
Section B — Short Answer (2 marks)
- $2:3$.
- Rs $40$.
- $50$ cm.
- e.g. $2:4$.
Section C — Short Answer (3 marks)
- $2:3$.
- Rs $40$.
- $5000$ cm $=50$ m.
- Rs $40$ and Rs $60$.
Section D — Long Answer (5 marks)
- Rs $80$, Rs $120$, Rs $160$.
- Rs $56$.
Generated by Vidaara.org · Assignment VID-M8-20-CT · vidaara.org