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A cube is three dimensional figure as shown in Figure It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube.

Solution: Length of an edge of the cube = l We know that Number of edges in a cube = 12 Total length of the edges = Number of edges ×... View Article

The side of the regular hexagon (Figure is denoted by l. Express the perimeter of the hexagon using l.

Solution: Given that Side of a regular hexagon = l We know that perimeter of a hexagon is given by= sum of all... View Article

The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

Solution Given that Side of equilateral triangle = l We know that perimeter of a traingle is given by= sum of all sides Perimeter = l + l + l... View Article

(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

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

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