Vidaara.orgClass 9 · Mathematics
CodeVID-M09-19-WRD-01
Word Problems on Linear Equations - 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.
The sum of two numbers is $20$, difference $4$. The larger is:
- A.$8$
- B.$10$
- C.$12$
- D.$16$
2.
To solve a word problem, first define the:
- A.answer
- B.variables
- C.graph
- D.units
3.
"The sum of two numbers is $15$" gives:
- A.$x-y=15$
- B.$x+y=15$
- C.$xy=15$
- D.$x/y=15$
4.
In "$2x+3y$ = cost of $2$ pens and $3$ pencils", $x$ is the cost of a:
- A.pen
- B.pencil
- C.book
- D.bag
5.
Two equations are needed to find:
- A.one unknown
- B.two unknowns
- C.a graph
- D.a ratio
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
The sum of two numbers is $25$ and their difference is $5$. Find them.
7.
Three pens cost Rs $60$. Find the cost of one pen.
8.
The sum of two numbers is $18$; one is twice the other. Find them.
9.
A number $x$ and $7$ add to $20$. Find $x$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
The sum of two numbers is $35$ and their difference is $9$. Find the numbers.
11.
$3$ pens and $2$ pencils cost Rs $19$; $1$ pen and $1$ pencil cost Rs $7$. Find the cost of each.
12.
The present ages of A and B sum to $40$; A is $4$ years older than B. Find their ages.
13.
In a two-digit number the sum of digits is $9$ and the tens digit is twice the units. Find the number.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The sum of the digits of a two-digit number is $9$. If $27$ is subtracted, the digits are reversed. Find the number.
15.
$5$ kg apples and $3$ kg grapes cost Rs $450$; $3$ kg apples and $5$ kg grapes cost Rs $430$. Find the cost per kg of each.
Answer Key
Section A — Multiple Choice Questions
- (C) $12$
- (B) variables
- (B) $x+y=15$
- (A) pen
- (B) two unknowns
Section B — Short Answer (2 marks)
- $15$ and $10$.
- Rs $20$.
- $12$ and $6$.
- $13$.
Section C — Short Answer (3 marks)
- $22$ and $13$.
- Pen Rs $5$, pencil Rs $2$.
- A $22$, B $18$.
- $63$.
Section D — Long Answer (5 marks)
- $63$.
- Apples Rs $60$/kg, grapes Rs $50$/kg.
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