NCERT Solutions Class 6 Mathematics Chapter 11 Algebra

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Q.1: Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
(a) A pattern of letter T as T 
(b) A pattern of letter Z as Z 
(c) A pattern of letter U as U 
(d) A pattern of letter V as V 
(e) A pattern of letter E as E 
(f) A pattern of letter S as S 
(g) A pattern of letter A as A 

Ans : 
(e)
 

Q.2: We already know the rule for the pattern of letters L. C and F. Some of the letters from some Of the letters out Of (a) T, (b) Z, (c) U, (d) V, (e) E, (f) S, (g) R 
give us the same rule as that given by Which are these? Why does this happen?

Ans : It is known that L requires only two matchsticks. Therefore, the pattern for L is 2n. Among all the letters given above in question 1, only T and V are the two letters which require two matchsticks. Hence, (a) and (d) 

Q.3: Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Ans : Let number of rows be n. Number of cadets in one row 5 
Total number Of cadets = Number Of cadets in a row x Number Of rows = 5n 

Q.4: If there are SO mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use b for the number of boxes.)

Ans : Let the number of boxes be b. 
Number of mangoes in a box = 50 
Total number of mangoes = Number of mangoes in a box x Number of boxes 
= 50/b 

Q.5: The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use s for the number of students.)

Ans : Let the number of students be s. 
Pencils given to each student = 5 
Total number of pencils 
= Number Of pencils given to each student x Number Of students = 5s 

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