Answer the following:
i) Find the sum of \(1\over7\)and \(3\over9\).
ii) What is the total of \(3{1\over3}\)and \(4{1\over6}\) ?
iii) Simplify: \(1{3\over5}+5{4\over7}\)
iv) Find the difference between \(8\over 9\)and \(2\over7\)
v) Subtract \(1{3\over 5}\)from \(2{1\over3}\)
vi) Simplify : \(7{2\over7}-3{4\over 21}\)

Multiply the following:
\(i)\ {2\over3}\times6\)
\(ii)\ 8{1\over3}\times5\)
\(iii)\ {3\over8}\times{4\over5}\)
\(iv)\ {3{5\over7}}\times1{1\over13}\)

Complete the fifth row in the Leibnitz triangle which is based on subraction.

A rabbit has to cover \(26{1\over4}\)m to fetch its food. If it covers \(1{3\over4}\)m in one jump, then how many jumps will it take to fetch its food?

(i) Find the sum of \(5\cfrac { 4 }{ 9 } \)and \(3\cfrac { 1 }{ 6 } \)
(ii) Subtract \(7\cfrac { 1 }{ 6 } \) from \(12\cfrac { 3 }{ 8 } \)
(iii) Subtract the sum of \(6 \frac{1}{6}\) and \(3 \frac{1}{5}\) from the sum of \(9 \frac{2}{3} \text { and } 2 \frac{1}{2}\)

Assuming that the home to be the starting point, mark the following places in order on the number line as per instructions given below and write their corresponding integers

Places : Home, School, Library, Playground, Park, Departmental Store, Bus Stand, Railway Station, Post Office, Electricity Board.
Instructions :
i) Bus Stand is 3 units to the right of Home.
ii) Library is 2 units to the left of Home.
iii) Departmental Store is 6 units to the left of Home.
iv) Post Office is 1 unit to the right of the Library.
v) Park is 1 unit right of Departmental Store.
vi) Railway Station is 3 units left of Post Office.
vii) Bus Stand is 8 units to the right of Railway Station.
viii) School is next to the right of Bus Stand.
ix) Playground and Library are opposite to each other.
x) Electricity Board and Departmental Store are at equal distance from Home.

The following bar graph shows the profit (+) and loss (−) of a small scale company (in crores) between the years 2011 to 2017.

i) Write the integer that represents a profit or a loss for the company in 2014?
ii) Denote by an integer on the profit or loss in 2016.
iii) Denote by integers on the loss for the company in 2011 and 2012.
iv) Say True or False: The loss is minimum in 2012.
v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.

Suppose in a building, there are 2 basement floors. If the ground floor is denoted as zero, how can we represent the basement floors?
(i) Is -15 < -26 ? why?
(ii) Which is smaller - 3 or -5 ? Why?
(iii) Which is greater 7 or -4 ? Why?
(iv) Which is the greatest negative integer?
(v) Which is the smallest positive integer?

Take two cards from a deck of playing cards and identify, which is greater between them, assuming that the joker card represents zero, black cards represent positive integers, red cards represent negative integers and the cards A, J. Q and K represent 1, 11, 12 and 13 respectively.

Find the perimeter and area of the following shapes

A rectangle has length 40 cm and breadth 20 cm. How many squares with side 10 cm can be formed from it.

How many different rectangles can be made with a 48 cm long string? Find the possible pairs of length and breadth of the rectangles.

What will be the area of a new square formed if the side of a square is made one-fourth?

Look at the picture of the house given and find the total area of the shaded portion.

Find the number of tiles required to fill the are a of following ligures
(i)

(ii)

(iii)

(iv)

Find the area of the given 'L' shaped rectangular figure by dividing it into squares of equal sizes.
Take side: 7cm

Shade one square so that it possesses
i) One line of symmetry
ii) Rotational symmetry of order 2

Draw the following :
i) A figure which has reflection symmetry but no rotational symmetry.
ii) A figure which has rotational symmetry but no reflection symmetry.
iii) A figure which has both reflection and rotational symmetry.

Colour the boxes in such a way that it posseses translation symmetry

Prepare a daily time schedule for evening study at home