Page 133 - ICSE Math 6

3. Observe the following pattern, identify the variable and write the general expression of number
of legs in terms of the number of horses in a stable.

Number of horses in a stable 1 2 3 4 ... n
Total number of legs in stable 4 8 12 16 ... ...

4. Observe the following pattern, identify the variable and write the general rule that gives the
number of legs in terms of the number of ducks.

Number of ducks 1 2 3 4 ... n
Total number of legs 2 4 6 8 ... ...
5. Observe the following pattern and write the general expression using the variable m.
1, 4, 9, 16, 25, …

6. Use the general term of the following pattern and complete the table as indicated.
S. No. Pattern General term Term number Value of the term
1. 2, 4, 6, 8, 10, ... 2n 50 th
2. 2, 5, 8, 11, 14, ... 3n – 1 21 st
3. 9, 13, 17, 21, 25, ... 4n + 5 36 th
4. 11, 19, 27, 35, ... 8n + 3 69 th
5. 4, 13, 22, 31, ... 9n – 5 100 th

7. There are 5 students in a group. Write the total number of students in terms of number of groups.
8. At a fruit shop, bananas are sold in dozens. Find out the number of bananas sold in terms of
number of dozens.

Terms

A term is a constant or a variable or a combination of both (connected by multiplication or division).
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For example, 5, 15ab, , etc., are terms.
y
If a term does not contain a variable, then it is known as a constant term. In a term, constant is
known as the numerical factor and variables are known as the literal factors. For example, in the
term –4xy, (–4) is the numerical factor and x, y and xy are the literal factors. There are two types of
terms; like terms and unlike terms.

Like terms
The terms having the same literal factors are known as like terms.
For example, Maths Info
(a) 6xy and –7xy are like terms. Like terms always differ in
numerical factor.
1
2
2
(b) 17a b and a b are like terms.
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Unlike terms Try These
The terms with different literal factors are known as unlike terms. 1. Write any two terms that can
For example, be the members of a group
of like terms containing 2ab.
2
(a) 3x and 3xy are unlike terms. 2. Identify the like terms from
2
(b) 4a b and ab are unlike terms. the following.
2
2
7a b, –a b, aba, ba
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