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(a) Look at the following matchstick pattern of squares (Fig ure. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks (b) Figure gives a matchstick pattern of triangles. As in Exercise 11 (a) above, find the general rule that gives the number of matchsticks in terms of the number of triangles.

Solution: (a) From the figure we observe that The matchstick pattern, the number of matchsticks are 4, 7, 10 and 13, which is 1 more... View Article

Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box?

Given that Let the number of oranges in a small box = x Number of oranges in two small boxes = 2x Number of oranges remained = 10 Number of... View Article

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

Given that Let number of laddus mother gave = l Th number of remaining laddus = 5 Total number of laddus = number of laddus given away by... View Article

Leela is Radha’s younger sister. Leela is 4 years younger than Radha. Can you write Leela’s age in terms of Radha’s age? Take Radha’s age to be x years.

Given that Leela is Radha’s younger sister. Leela is 4 years younger to Radha Let us assume Radha’s age to be x years... View Article

Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots) with chalk powder. She has 9 dots in a row. How many dots will her Rangoli have for r rows? How many dots are there if there are 8 rows? If there are 10 rows?

Solution Number of dots in a row = 9 Let the number of rows = r Total number of dots in r rows = Number of dots in a row × number of... View Article

A bird flies 1 kilometer in one minute. Can you express the distance covered by the birds in terms of its flying time in minutes? (Use t for flying time in minutes.)

Solution Let flying time in minutes be =t Distance covered in one minute = 1 km Distance covered in t minutes = Distance covered in one minute... View Article

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

Solution Let the number of students=s Given that Pencils given to each student = 5 Total number of pencils = number of pencils given to each... View Article

If there are 50 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.)

Solution Let the number of boxes= b Number of mangoes in a box = 50 Total number of mangoes = number of mangoes in a box × number of boxes... View Article

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)

Solution Let n be the number of rows Given that The number of cadets in a row = 5 Total number of cadets = number of cadets in a row ×... View Article

Find the rule which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule.

(b) A pattern of letter Z as (c) A pattern of letter U as (d) A pattern of letter Vas (e) A pattern of letter E as (f) A pattern of letter... View Article

Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

Given Total weight of vegetables Aakash bought = 10.000 kg Weight of onions = 3 kg 500 g Weight of tomatoes = 2 kg 75 g Find out We have to... View Article

Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?

Given Total distance travelled by Namita = 20 km 50 m Distance travelled by bus = 10 km 200 m Find out We have to... View Article

Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?

Given Length of cloth = 20 m 5 cm Length of cloth to make a curtain = 4 m 50 cm Find out We have to determine the cloth left with... View Article

Rani had ₹ 18.50. She bought one ice cream for ₹ 11.75. How much money does she have now?

Given Money with Rani = ₹ 18.50 Price of an ice cream = ₹ 11 Find out We have to determine the money left with her Solution Money that is... View Article

Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?

Given Money is given to shopkeeper = ₹ 50.00 Price of the book = ₹ 35.65 Find out We have to determine the money he got back from the... View Article

Find the value of: (a) 9.756 – 6.28 (b) 21.05 – 15.27 (c) 18.5 – 6.79 (d) 11.6 – 9.847

Solution (a)9.756 – 6.280 _________ 3.476 _________ 9.756 – 6.28=3.475 (b) 21.05 – 15.27 ___________ 5.78... View Article

Subtract: (a) ₹ 18.25 from ₹ 20.75 (b) 202.54 m from 250 m (c) ₹ 5.36 from ₹ 8.40 (d) 2.051 km from 5.206 km (e) 0.314 kg from 2.107 kg

Solution (a) ₹ 20.75 – ₹ 18.75 20.75 – 18.25 __________ 2.50 ___________ ₹ 20.75 – ₹ 18.75=₹ 2.50 (b) 250 m... View Article

Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases.

Given Weight of rice = 5 kg 400 g Weight of sugar = 2 kg 20 g Weight of flour = 10 kg 850 g Find out We have to determine the total... View Article

Sunita travelled 15 km 268 m by bus, 7 km 7 m by car and 500 m on foot in order to reach her school. How far is her school from her residence?

Given Distance travelled by bus = 15 km 268 m Distance travelled by car = 7 km 7 m Distance walked by Sunita = 500 m Find out We have to... View Article

Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?

Given Distance walked by Naresh in the morning = 2 km 35 m Distance walked by him in the evening = 1 km 7 m Find out We have to... View Article